Charged anisotropic spherical collapse with heat flow
In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. Th...
Saved in:
| Published in | The European physical journal. C, Particles and fields Vol. 81; no. 1; pp. 1 - 11 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.01.2021
Springer Springer Nature B.V SpringerOpen |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1434-6044 1434-6052 |
| DOI | 10.1140/epjc/s10052-021-08865-8 |
Cover
Loading…
| Abstract | In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. The attempts to solve it analytically proved to be unfortunate. Numerical methods have been suggested in the past. However, the high degree of non-linearity tends to introduce fluctuations and large round off errors in the numerical calculation. A new ansatz is proposed in the present work to reduce the degree of non-linearity. An ordinary differential equation is derived by satisfying junction conditions, and its numerical solution is demonstrated. Physical quantities associated with the collapse process are plotted to observe the effect of charge on these quantities. It is concluded that the charge can delay the collapse of a star and can even prevent it depending upon the amount of charge. It is also verified that the solution satisfies all the energy conditions. |
|---|---|
| AbstractList | In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. The attempts to solve it analytically proved to be unfortunate. Numerical methods have been suggested in the past. However, the high degree of non-linearity tends to introduce fluctuations and large round off errors in the numerical calculation. A new ansatz is proposed in the present work to reduce the degree of non-linearity. An ordinary differential equation is derived by satisfying junction conditions, and its numerical solution is demonstrated. Physical quantities associated with the collapse process are plotted to observe the effect of charge on these quantities. It is concluded that the charge can delay the collapse of a star and can even prevent it depending upon the amount of charge. It is also verified that the solution satisfies all the energy conditions. Abstract In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. The attempts to solve it analytically proved to be unfortunate. Numerical methods have been suggested in the past. However, the high degree of non-linearity tends to introduce fluctuations and large round off errors in the numerical calculation. A new ansatz is proposed in the present work to reduce the degree of non-linearity. An ordinary differential equation is derived by satisfying junction conditions, and its numerical solution is demonstrated. Physical quantities associated with the collapse process are plotted to observe the effect of charge on these quantities. It is concluded that the charge can delay the collapse of a star and can even prevent it depending upon the amount of charge. It is also verified that the solution satisfies all the energy conditions. |
| ArticleNumber | 60 |
| Audience | Academic |
| Author | Yadav, Om Prakash Charan, Kali Tewari, B. C. |
| Author_xml | – sequence: 1 givenname: Kali surname: Charan fullname: Charan, Kali organization: Department of Mathematical and Statistical Sciences, Institute of Natural Sciences, Shri Ramswaroop Memorial University Lucknow – sequence: 2 givenname: Om Prakash surname: Yadav fullname: Yadav, Om Prakash email: opyadav@nith.ac.in organization: Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur – sequence: 3 givenname: B. C. surname: Tewari fullname: Tewari, B. C. organization: Department of Mathematics, SSJ Campus Almora, Kumaun University Nainital |
| BookMark | eNqFkc1q3DAUhUVJoPnpM9TQVRdOJFuS5UUXYWibgUChSdfijnTl0eBYrqQh6dtXE6ct6SZoIXE53-HqnFNyNIUJCXnP6AVjnF7ivDOXiVEqmpo2rKZKSVGrN-SE8ZbXssyP_r45f0tOU9pRShtO1QkRqy3EAW0Fk08hxzB7U6V5i9EbGCsTxhHmhNWDz9tqi5ArN4aHc3LsYEz47vk-Iz--fL5bXdc3376uV1c3tRFNk-seXCt7g4CMbdqGds4ZY8ByJlH2oKCDTnKOBpyRKFrTgWVKiF4x21MQ7RlZL742wE7P0d9D_KUDeP00CHHQELM3I-qCC8ucBWAdZ5YBle0Ge8Wt4bjZ0OL1YfGaY_i5x5T1LuzjVNbXDe96pjoqDqqLRTVAMfWTK5mAKcfivTcleefL_EqKEnPLm8OKH18ARZPxMQ-wT0mvb7-_1H5atCaGlCI6bXyG7AsSwY-aUX2oVB8q1UululSqnyrVqvDdf_yfSF4n1UKmQkwDxn-ffw39Dan9uk0 |
| CitedBy_id | crossref_primary_10_1140_epjc_s10052_021_09163_z crossref_primary_10_1140_epjc_s10052_021_09589_5 crossref_primary_10_1007_s10714_023_03161_0 crossref_primary_10_3390_e23111539 crossref_primary_10_1016_j_cjph_2022_07_016 crossref_primary_10_1007_s10714_024_03338_1 crossref_primary_10_1002_prop_202300250 crossref_primary_10_1093_ptep_ptab116 crossref_primary_10_1142_S0219887822501857 crossref_primary_10_3390_e23111400 |
| Cites_doi | 10.1103/PhysRev.136.B571 10.1140/epjc/s10052-019-6534-9 10.1093/mnras/216.2.403 10.1007/s10714-012-1370-3 10.1063/1.524210 10.1140/epjc/s10052-019-7383-2 10.1002/andp.19163550905 10.1103/PhysRevD.65.104011 10.1007/s10714-012-1468-7 10.1140/epjc/s10052-019-7039-2 10.1103/PhysRevD.4.2185 10.1007/s10509-015-2603-1 10.1103/PhysRevD.76.064017 10.1007/BF03173260 10.1007/s10714-010-1071-8 10.1038/171260a0 10.1142/S0218271813500879 10.1007/s10714-013-1545-6 10.1086/143324 10.1086/164908 10.1103/PhysRev.137.B1364 10.1093/mnras/216.4.1001 10.1103/PhysRevD.72.104017 10.1103/PhysRevD.98.104059 10.1103/PhysRevD.74.024010 10.1016/0370-1573(89)90069-0 10.1103/PhysRev.56.455 10.1007/s10509-015-2246-2 10.1007/s10509-014-1851-9 10.1140/epjc/s10052-010-1273-y 10.1140/epjp/s13360-020-00358-z 10.1093/mnras/129.6.443 10.1103/PhysRevD.70.084004 10.1063/1.1665273 10.1007/s10509-010-0463-2 10.1007/s10509-015-2335-2 10.1103/PhysRev.137.B1360 10.1016/0375-9601(81)90553-3 10.1103/PhysRevD.68.084004 10.1103/PhysRevD.13.2204 10.1103/PhysRevD.100.044039 |
| ContentType | Journal Article |
| Copyright | The Author(s) 2021 COPYRIGHT 2021 Springer The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: The Author(s) 2021 – notice: COPYRIGHT 2021 Springer – notice: The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | C6C AAYXX CITATION ISR 7U5 8FD 8FE 8FG ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO H8D HCIFZ L7M P5Z P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS DOA |
| DOI | 10.1140/epjc/s10052-021-08865-8 |
| DatabaseName | Springer Nature OA Free Journals CrossRef Gale In Context: Science Solid State and Superconductivity Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea Aerospace Database SciTech Premium Collection Advanced Technologies Database with Aerospace Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef Publicly Available Content Database Technology Collection Technology Research Database ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences Aerospace Database ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Advanced Technologies & Aerospace Collection ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Solid State and Superconductivity Abstracts ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | CrossRef Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: C6C name: Springer Nature OA Free Journals url: http://www.springeropen.com/ sourceTypes: Publisher – sequence: 2 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1434-6052 |
| EndPage | 11 |
| ExternalDocumentID | oai_doaj_org_article_e535d1fdaa1741d1a063be984dc4ebb0 A650883425 10_1140_epjc_s10052_021_08865_8 |
| GroupedDBID | -5F -5G -A0 -BR -Y2 -~X .86 0R~ 199 1SB 29G 29Q 2JY 2P1 30V 4.4 408 409 40D 5GY 5VS 67Z 6NX 78A 8FE 8FG 8TC 8UJ 95. 95~ AAFWJ AAKKN ABDBF ABEEZ ABMNI ABQSL ABTEG ACACY ACGFS ACNCT ACUHS ACULB ADBBV ADINQ ADKPE ADMLS AENEX AFBBN AFFNX AFGXO AFKRA AFPKN AFWTZ AGJBK AGWIL AHSBF AHYZX AI. AIBLX ALMA_UNASSIGNED_HOLDINGS AMKLP ARAPS ASPBG AVWKF AZFZN B0M BA0 BCNDV BENPR BGLVJ BGNMA C24 C6C CAG CCPQU COF CS3 CSCUP DL5 DU5 EAD EAP EAS EBS EJD EMK EPL ER. ESX FEDTE GQ6 GQ8 GROUPED_DOAJ GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HVGLF HZ~ H~9 I-F I09 IAO IGS IHE ISR IXC IZIGR IZQ I~X KDC KOV LAS M4Y MA- N2Q NB0 NU0 O9- O93 OK1 P62 P9T PIMPY PROAC PT5 QOS R89 R9I RED RID RNS ROL RPX RSV RZK S1Z S27 S3B SDH SOJ SPH SZN T13 TN5 TSK TSV TUC TUS U2A VC2 VH1 WK8 Z45 Z7Y ~8M AAYXX ABFSG ACSTC ADHKG AEZWR AFHIU AGQPQ AHWEU AIXLP CITATION PHGZM PHGZT PMFND 7U5 8FD ABUWG AZQEC DWQXO H8D L7M PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PUEGO |
| ID | FETCH-LOGICAL-c522t-9af369ceae11b3207ffcccad416e69a8a7a7644ecafc6e53c7ad1855981d90a53 |
| IEDL.DBID | DOA |
| ISSN | 1434-6044 |
| IngestDate | Wed Aug 27 01:31:56 EDT 2025 Sun Jul 13 04:29:34 EDT 2025 Tue Jun 10 20:36:12 EDT 2025 Fri Jun 27 04:03:47 EDT 2025 Tue Jul 01 01:40:22 EDT 2025 Thu Apr 24 22:53:35 EDT 2025 Fri Feb 21 02:49:45 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c522t-9af369ceae11b3207ffcccad416e69a8a7a7644ecafc6e53c7ad1855981d90a53 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| OpenAccessLink | https://doaj.org/article/e535d1fdaa1741d1a063be984dc4ebb0 |
| PQID | 2479187050 |
| PQPubID | 2034659 |
| PageCount | 11 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_e535d1fdaa1741d1a063be984dc4ebb0 proquest_journals_2479187050 gale_infotracacademiconefile_A650883425 gale_incontextgauss_ISR_A650883425 crossref_citationtrail_10_1140_epjc_s10052_021_08865_8 crossref_primary_10_1140_epjc_s10052_021_08865_8 springer_journals_10_1140_epjc_s10052_021_08865_8 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20210100 |
| PublicationDateYYYYMMDD | 2021-01-01 |
| PublicationDate_xml | – month: 1 year: 2021 text: 20210100 |
| PublicationDecade | 2020 |
| PublicationPlace | Berlin/Heidelberg |
| PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
| PublicationSubtitle | Particles and Fields |
| PublicationTitle | The European physical journal. C, Particles and fields |
| PublicationTitleAbbrev | Eur. Phys. J. C |
| PublicationYear | 2021 |
| Publisher | Springer Berlin Heidelberg Springer Springer Nature B.V SpringerOpen |
| Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer – name: Springer Nature B.V – name: SpringerOpen |
| References | EsculpiMAlomaEConformal anisotropic relativistic charged fluid spheres with a linear equation of stateEur. Phys. J. C2010673–45215322010EPJC...67..521E SharifMSiddiqaADynamics of charged plane symmetric gravitational collapseGen. Relativ. Gravit.201143173912011GReGr..43...73S27644741208.83083 TewariBCCharanKRadiating star, shear-free gravitational collapse without horizonAstrophys. Space Sci.201435126136172014Ap&SS.351..613T RaySEspindolaALMalheiroMLemosJPZanchinVTElectrically charged compact stars and formation of charged black holesPhys. Rev. D20036880840042003PhRvD..68h4004R HerreraLDi PriscoAOspinoJDefinition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributionsPhys. Rev. D201898101040592018PhRvD..98j4059H3954714 TewariBCCollapsing shear-free radiating fluid spheresGen. Relativ. Gravit.2013458154715582013GReGr..45.1547T30841011273.83124 GovenderMMewalalNHansrajSThe role of an equation of state in the dynamical (in) stability of a radiating starEur. Phys. J. C2019791242019EPJC...79...24G SherifAGoswamiRMaharajSProperties of expansion-free dynamical starsPhys. Rev. D201910040440392019PhRvD.100d4039S4022994 De OliveiraASantosNKolassisCCollapse of a radiating starMon. Not. R. Astron. Soc.1985216100110111985MNRAS.216.1001D0572.76129 ChandrasekharSThe maximum mass of ideal white dwarfsAstrophys. J.193174811931ApJ....74...81C0002.23502 PinheiroGChanRRadiating shear-free gravitational collapse with chargeGen. Relativ. Gravit.20134512432612013GReGr..45..243P30117131260.83025 LindquistRSchwartzRMisnerCVaidya’s radiating Schwarzschild metricPhys. Rev.19651375BB13641965PhRv..137.1364L1989380132.43203 HerreraLSantosNDynamics of dissipative gravitational collapsePhys. Rev. D20047080840042004PhRvD..70h4004H2115511 CahillMEMcVittieGCSpherical symmetry and mass–energy in general relativity. I. General theoryJ. Math. Phys.1970114138213911970JMP....11.1382C2603760195.56301 GlassEShear-free collapse with heat flowPhys. Lett. A1981866–73513521981PhLA...86..351G GlassEShear-free gravitational collapseJ. Math. Phys.1979207150815131979JMP....20.1508G ReissnerHÜber die eigengravitation des elektrischen feldes nach der Einsteinschen theorieAnn. Phys.19163559106120 BekensteinJDHydrostatic equilibrium and gravitational collapse of relativistic charged fluid ballsPhys. Rev. D19714821851971PhRvD...4.2185B VaidyaPCNewtonian time in general relativityNature195317143452602611953Natur.171..260V536570050.21304 K. Schwarzschild, About the gravitational field of a mass point according to Einstein’s theory, in Berlin. Session Reports, vol. 18 (1916) MisnerCWRelativistic equations for spherical gravitational collapse with escaping neutrinosPhys. Rev.19651375BB13601965PhRv..137.1360M0127.18405 PantNTewariBHorizon-free gravitational collapse of radiating fluid sphereAstrophys. Space Sci.201133126456502011Ap&SS.331..645P1209.83032 OppenheimerJRSnyderHOn continued gravitational contractionPhys. Rev.19395654551939PhRv...56..455O39815750022.28104 TewariBCCharanKHorizon free eternally collapsing anisotropic radiating starAstrophys. Space Sci.201535721072015Ap&SS.357..107T De OliveiraASantosNNonadiabatic gravitational collapseAstrophys. J.19873126406451987ApJ...312..640D EddingtonASThe Internal Constitution of the Stars1926BerlinNature Publishing Group52.1021.05 SantosNNon-adiabatic radiating collapseMon. Not. R. Astron. Soc.19852164034101985MNRAS.216..403S AbebeGMaharajSCharged radiating stars with lie symmetriesEur. Phys. J. C201979108492019EPJC...79..849A TewariBCRadiating Fluid Balls in General Relativity2010MuellerVDM Publishing IvanovBVMaximum bounds on the surface redshift of anisotropic starsPhys. Rev. D200265101040112002PhRvD..65j4011I IvanovBVCollapsing shear-free perfect fluid spheres with heat flowGen. Relativ. Gravit.2012447183518552012GReGr..44.1835I29352081246.83154 BonnorWBDe OliveiraASantosNORadiating spherical collapsePhys. Rep.198918152693261989PhR...181..269B1020461 BonnorWBThe equilibrium of a charged sphereMon. Not. R. Astron. Soc.196512964434461965MNRAS.129..443B184695 ThirukkaneshSGovenderMThe role of the electromagnetic field in dissipative collapseInt. J. Mod. Phys. D2013221413500872013IJMPD..2250087T1284.83038 SharifMIftikharSCharged dissipative collapse of shearing viscous starAstrophys. Space Sci.20153571792015Ap&SS.357...79S P.C. Vaidya, The gravitational field of a radiating star, in Proceedings of the Indian Academy of Sciences-Section A, vol. 33, p. 264 (Springer 1951) MitraAWhy gravitational contraction must be accompanied by emission of radiation in both Newtonian and Einstein gravityPhys. Rev. D20067420240102006PhRvD..74b4010M PriscoAHerreraLDenmatGMacCallumMSantosNNonadiabatic charged spherical gravitational collapsePhys. Rev. D20077660640172007PhRvD..76f4017D MisnerCWSharpDHRelativistic equations for adiabatic, spherically symmetric gravitational collapsePhys. Rev.19641362BB5711964PhRv..136..571M1777830129.41102 MahomedAMaharajSNarainRGeneralized horizon functions for radiating matterEur. Phys. J. Plus20201354351 OlsonEBailynMCharge effects in a static, spherically symmetric, gravitating fluidPhys. Rev. D197613822041976PhRvD..13.2204O IvanovBVAll solutions for geodesic anisotropic spherical collapse with shear and heat radiationAstrophys. Space Sci.20163611182016Ap&SS.361...18I3507873 GhezziCRRelativistic structure, stability, and gravitational collapse of charged neutron starsPhys. Rev. D200572101040172005PhRvD..72j4017G IvanovBVOn general spherical fluid collapseEur. Phys. J. C20197965202019EPJC...79..520I L Herrera (8865_CR8) 2018; 98 BV Ivanov (8865_CR25) 2002; 65 AS Eddington (8865_CR20) 1926 A De Oliveira (8865_CR40) 1987; 312 ME Cahill (8865_CR41) 1970; 11 BC Tewari (8865_CR29) 2014; 351 S Thirukkanesh (8865_CR31) 2013; 22 WB Bonnor (8865_CR22) 1965; 129 S Chandrasekhar (8865_CR2) 1931; 74 BV Ivanov (8865_CR32) 2016; 361 A Sherif (8865_CR34) 2019; 100 A Mahomed (8865_CR36) 2020; 135 BV Ivanov (8865_CR11) 2012; 44 E Glass (8865_CR6) 1981; 86 A Mitra (8865_CR18) 2006; 74 M Sharif (8865_CR38) 2015; 357 WB Bonnor (8865_CR12) 1989; 181 JD Bekenstein (8865_CR23) 1971; 4 R Lindquist (8865_CR43) 1965; 137 BC Tewari (8865_CR39) 2013; 45 S Ray (8865_CR26) 2003; 68 BV Ivanov (8865_CR33) 2019; 79 JR Oppenheimer (8865_CR3) 1939; 56 CW Misner (8865_CR42) 1964; 136 A De Oliveira (8865_CR44) 1985; 216 M Govender (8865_CR9) 2019; 79 CR Ghezzi (8865_CR27) 2005; 72 L Herrera (8865_CR15) 2004; 70 N Pant (8865_CR17) 2011; 331 A Prisco (8865_CR21) 2007; 76 E Olson (8865_CR24) 1976; 13 M Sharif (8865_CR28) 2011; 43 G Pinheiro (8865_CR37) 2013; 45 BC Tewari (8865_CR16) 2010 BC Tewari (8865_CR30) 2015; 357 PC Vaidya (8865_CR10) 1953; 171 H Reissner (8865_CR19) 1916; 355 8865_CR1 M Esculpi (8865_CR7) 2010; 67 E Glass (8865_CR13) 1979; 20 CW Misner (8865_CR14) 1965; 137 G Abebe (8865_CR35) 2019; 79 8865_CR4 N Santos (8865_CR5) 1985; 216 |
| References_xml | – reference: BonnorWBThe equilibrium of a charged sphereMon. Not. R. Astron. Soc.196512964434461965MNRAS.129..443B184695 – reference: IvanovBVCollapsing shear-free perfect fluid spheres with heat flowGen. Relativ. Gravit.2012447183518552012GReGr..44.1835I29352081246.83154 – reference: BonnorWBDe OliveiraASantosNORadiating spherical collapsePhys. Rep.198918152693261989PhR...181..269B1020461 – reference: OlsonEBailynMCharge effects in a static, spherically symmetric, gravitating fluidPhys. Rev. D197613822041976PhRvD..13.2204O – reference: CahillMEMcVittieGCSpherical symmetry and mass–energy in general relativity. I. General theoryJ. Math. Phys.1970114138213911970JMP....11.1382C2603760195.56301 – reference: SantosNNon-adiabatic radiating collapseMon. Not. R. Astron. Soc.19852164034101985MNRAS.216..403S – reference: IvanovBVAll solutions for geodesic anisotropic spherical collapse with shear and heat radiationAstrophys. Space Sci.20163611182016Ap&SS.361...18I3507873 – reference: EddingtonASThe Internal Constitution of the Stars1926BerlinNature Publishing Group52.1021.05 – reference: K. Schwarzschild, About the gravitational field of a mass point according to Einstein’s theory, in Berlin. Session Reports, vol. 18 (1916) – reference: TewariBCCharanKHorizon free eternally collapsing anisotropic radiating starAstrophys. Space Sci.201535721072015Ap&SS.357..107T – reference: HerreraLDi PriscoAOspinoJDefinition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributionsPhys. Rev. D201898101040592018PhRvD..98j4059H3954714 – reference: GhezziCRRelativistic structure, stability, and gravitational collapse of charged neutron starsPhys. Rev. D200572101040172005PhRvD..72j4017G – reference: PinheiroGChanRRadiating shear-free gravitational collapse with chargeGen. Relativ. Gravit.20134512432612013GReGr..45..243P30117131260.83025 – reference: ThirukkaneshSGovenderMThe role of the electromagnetic field in dissipative collapseInt. J. Mod. Phys. D2013221413500872013IJMPD..2250087T1284.83038 – reference: SharifMIftikharSCharged dissipative collapse of shearing viscous starAstrophys. Space Sci.20153571792015Ap&SS.357...79S – reference: De OliveiraASantosNNonadiabatic gravitational collapseAstrophys. J.19873126406451987ApJ...312..640D – reference: PantNTewariBHorizon-free gravitational collapse of radiating fluid sphereAstrophys. Space Sci.201133126456502011Ap&SS.331..645P1209.83032 – reference: LindquistRSchwartzRMisnerCVaidya’s radiating Schwarzschild metricPhys. Rev.19651375BB13641965PhRv..137.1364L1989380132.43203 – reference: SherifAGoswamiRMaharajSProperties of expansion-free dynamical starsPhys. Rev. D201910040440392019PhRvD.100d4039S4022994 – reference: GlassEShear-free collapse with heat flowPhys. Lett. A1981866–73513521981PhLA...86..351G – reference: MitraAWhy gravitational contraction must be accompanied by emission of radiation in both Newtonian and Einstein gravityPhys. Rev. D20067420240102006PhRvD..74b4010M – reference: PriscoAHerreraLDenmatGMacCallumMSantosNNonadiabatic charged spherical gravitational collapsePhys. Rev. D20077660640172007PhRvD..76f4017D – reference: BekensteinJDHydrostatic equilibrium and gravitational collapse of relativistic charged fluid ballsPhys. Rev. D19714821851971PhRvD...4.2185B – reference: P.C. Vaidya, The gravitational field of a radiating star, in Proceedings of the Indian Academy of Sciences-Section A, vol. 33, p. 264 (Springer 1951) – reference: TewariBCRadiating Fluid Balls in General Relativity2010MuellerVDM Publishing – reference: GlassEShear-free gravitational collapseJ. Math. Phys.1979207150815131979JMP....20.1508G – reference: OppenheimerJRSnyderHOn continued gravitational contractionPhys. Rev.19395654551939PhRv...56..455O39815750022.28104 – reference: HerreraLSantosNDynamics of dissipative gravitational collapsePhys. Rev. D20047080840042004PhRvD..70h4004H2115511 – reference: AbebeGMaharajSCharged radiating stars with lie symmetriesEur. Phys. J. C201979108492019EPJC...79..849A – reference: TewariBCCharanKRadiating star, shear-free gravitational collapse without horizonAstrophys. Space Sci.201435126136172014Ap&SS.351..613T – reference: TewariBCCollapsing shear-free radiating fluid spheresGen. Relativ. Gravit.2013458154715582013GReGr..45.1547T30841011273.83124 – reference: EsculpiMAlomaEConformal anisotropic relativistic charged fluid spheres with a linear equation of stateEur. Phys. J. C2010673–45215322010EPJC...67..521E – reference: MisnerCWRelativistic equations for spherical gravitational collapse with escaping neutrinosPhys. Rev.19651375BB13601965PhRv..137.1360M0127.18405 – reference: MisnerCWSharpDHRelativistic equations for adiabatic, spherically symmetric gravitational collapsePhys. Rev.19641362BB5711964PhRv..136..571M1777830129.41102 – reference: IvanovBVMaximum bounds on the surface redshift of anisotropic starsPhys. Rev. D200265101040112002PhRvD..65j4011I – reference: ChandrasekharSThe maximum mass of ideal white dwarfsAstrophys. J.193174811931ApJ....74...81C0002.23502 – reference: MahomedAMaharajSNarainRGeneralized horizon functions for radiating matterEur. Phys. J. Plus20201354351 – reference: RaySEspindolaALMalheiroMLemosJPZanchinVTElectrically charged compact stars and formation of charged black holesPhys. Rev. D20036880840042003PhRvD..68h4004R – reference: SharifMSiddiqaADynamics of charged plane symmetric gravitational collapseGen. Relativ. Gravit.201143173912011GReGr..43...73S27644741208.83083 – reference: IvanovBVOn general spherical fluid collapseEur. Phys. J. C20197965202019EPJC...79..520I – reference: De OliveiraASantosNKolassisCCollapse of a radiating starMon. Not. R. Astron. Soc.1985216100110111985MNRAS.216.1001D0572.76129 – reference: VaidyaPCNewtonian time in general relativityNature195317143452602611953Natur.171..260V536570050.21304 – reference: ReissnerHÜber die eigengravitation des elektrischen feldes nach der Einsteinschen theorieAnn. Phys.19163559106120 – reference: GovenderMMewalalNHansrajSThe role of an equation of state in the dynamical (in) stability of a radiating starEur. Phys. J. C2019791242019EPJC...79...24G – volume: 136 start-page: B571 issue: 2B year: 1964 ident: 8865_CR42 publication-title: Phys. Rev. doi: 10.1103/PhysRev.136.B571 – volume: 79 start-page: 24 issue: 1 year: 2019 ident: 8865_CR9 publication-title: Eur. Phys. J. C doi: 10.1140/epjc/s10052-019-6534-9 – volume-title: The Internal Constitution of the Stars year: 1926 ident: 8865_CR20 – ident: 8865_CR1 – volume: 216 start-page: 403 year: 1985 ident: 8865_CR5 publication-title: Mon. Not. R. Astron. Soc. doi: 10.1093/mnras/216.2.403 – volume: 44 start-page: 1835 issue: 7 year: 2012 ident: 8865_CR11 publication-title: Gen. Relativ. Gravit. doi: 10.1007/s10714-012-1370-3 – volume: 20 start-page: 1508 issue: 7 year: 1979 ident: 8865_CR13 publication-title: J. Math. Phys. doi: 10.1063/1.524210 – volume: 79 start-page: 849 issue: 10 year: 2019 ident: 8865_CR35 publication-title: Eur. Phys. J. C doi: 10.1140/epjc/s10052-019-7383-2 – volume: 355 start-page: 106 issue: 9 year: 1916 ident: 8865_CR19 publication-title: Ann. Phys. doi: 10.1002/andp.19163550905 – volume: 65 start-page: 104011 issue: 10 year: 2002 ident: 8865_CR25 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.65.104011 – volume: 45 start-page: 243 issue: 1 year: 2013 ident: 8865_CR37 publication-title: Gen. Relativ. Gravit. doi: 10.1007/s10714-012-1468-7 – volume: 79 start-page: 520 issue: 6 year: 2019 ident: 8865_CR33 publication-title: Eur. Phys. J. C doi: 10.1140/epjc/s10052-019-7039-2 – volume: 4 start-page: 2185 issue: 8 year: 1971 ident: 8865_CR23 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.4.2185 – volume: 361 start-page: 18 issue: 1 year: 2016 ident: 8865_CR32 publication-title: Astrophys. Space Sci. doi: 10.1007/s10509-015-2603-1 – volume: 76 start-page: 064017 issue: 6 year: 2007 ident: 8865_CR21 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.76.064017 – volume-title: Radiating Fluid Balls in General Relativity year: 2010 ident: 8865_CR16 – ident: 8865_CR4 doi: 10.1007/BF03173260 – volume: 43 start-page: 73 issue: 1 year: 2011 ident: 8865_CR28 publication-title: Gen. Relativ. Gravit. doi: 10.1007/s10714-010-1071-8 – volume: 171 start-page: 260 issue: 4345 year: 1953 ident: 8865_CR10 publication-title: Nature doi: 10.1038/171260a0 – volume: 22 start-page: 1350087 issue: 14 year: 2013 ident: 8865_CR31 publication-title: Int. J. Mod. Phys. D doi: 10.1142/S0218271813500879 – volume: 45 start-page: 1547 issue: 8 year: 2013 ident: 8865_CR39 publication-title: Gen. Relativ. Gravit. doi: 10.1007/s10714-013-1545-6 – volume: 74 start-page: 81 year: 1931 ident: 8865_CR2 publication-title: Astrophys. J. doi: 10.1086/143324 – volume: 312 start-page: 640 year: 1987 ident: 8865_CR40 publication-title: Astrophys. J. doi: 10.1086/164908 – volume: 137 start-page: B1364 issue: 5B year: 1965 ident: 8865_CR43 publication-title: Phys. Rev. doi: 10.1103/PhysRev.137.B1364 – volume: 216 start-page: 1001 year: 1985 ident: 8865_CR44 publication-title: Mon. Not. R. Astron. Soc. doi: 10.1093/mnras/216.4.1001 – volume: 72 start-page: 104017 issue: 10 year: 2005 ident: 8865_CR27 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.72.104017 – volume: 98 start-page: 104059 issue: 10 year: 2018 ident: 8865_CR8 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.98.104059 – volume: 74 start-page: 024010 issue: 2 year: 2006 ident: 8865_CR18 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.74.024010 – volume: 181 start-page: 269 issue: 5 year: 1989 ident: 8865_CR12 publication-title: Phys. Rep. doi: 10.1016/0370-1573(89)90069-0 – volume: 56 start-page: 455 issue: 5 year: 1939 ident: 8865_CR3 publication-title: Phys. Rev. doi: 10.1103/PhysRev.56.455 – volume: 357 start-page: 79 issue: 1 year: 2015 ident: 8865_CR38 publication-title: Astrophys. Space Sci. doi: 10.1007/s10509-015-2246-2 – volume: 351 start-page: 613 issue: 2 year: 2014 ident: 8865_CR29 publication-title: Astrophys. Space Sci. doi: 10.1007/s10509-014-1851-9 – volume: 67 start-page: 521 issue: 3–4 year: 2010 ident: 8865_CR7 publication-title: Eur. Phys. J. C doi: 10.1140/epjc/s10052-010-1273-y – volume: 135 start-page: 351 issue: 4 year: 2020 ident: 8865_CR36 publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/s13360-020-00358-z – volume: 129 start-page: 443 issue: 6 year: 1965 ident: 8865_CR22 publication-title: Mon. Not. R. Astron. Soc. doi: 10.1093/mnras/129.6.443 – volume: 70 start-page: 084004 issue: 8 year: 2004 ident: 8865_CR15 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.70.084004 – volume: 11 start-page: 1382 issue: 4 year: 1970 ident: 8865_CR41 publication-title: J. Math. Phys. doi: 10.1063/1.1665273 – volume: 331 start-page: 645 issue: 2 year: 2011 ident: 8865_CR17 publication-title: Astrophys. Space Sci. doi: 10.1007/s10509-010-0463-2 – volume: 357 start-page: 107 issue: 2 year: 2015 ident: 8865_CR30 publication-title: Astrophys. Space Sci. doi: 10.1007/s10509-015-2335-2 – volume: 137 start-page: B1360 issue: 5B year: 1965 ident: 8865_CR14 publication-title: Phys. Rev. doi: 10.1103/PhysRev.137.B1360 – volume: 86 start-page: 351 issue: 6–7 year: 1981 ident: 8865_CR6 publication-title: Phys. Lett. A doi: 10.1016/0375-9601(81)90553-3 – volume: 68 start-page: 084004 issue: 8 year: 2003 ident: 8865_CR26 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.68.084004 – volume: 13 start-page: 2204 issue: 8 year: 1976 ident: 8865_CR24 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.13.2204 – volume: 100 start-page: 044039 issue: 4 year: 2019 ident: 8865_CR34 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.100.044039 |
| SSID | ssj0002408 |
| Score | 2.3949914 |
| Snippet | In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the... Abstract In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse... |
| SourceID | doaj proquest gale crossref springer |
| SourceType | Open Website Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1 |
| SubjectTerms | Anisotropy Astronomy Astrophysics and Cosmology Differential equations Differential thermal analysis Einstein equations Elementary Particles Gravitation Gravitational collapse Hadrons Heat transmission Heavy Ions Linearity Measurement Science and Instrumentation Nonlinearity Nuclear Energy Nuclear Physics Numerical methods Ordinary differential equations Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article – Theoretical Physics Roundoff error String Theory |
| SummonAdditionalLinks | – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV1baxUxEA7aIvgiXnG1yiKCT6HZzWU3T9JKSxUsUi30LeR6qJTd9ewp_n1ncnJOKQX7upssm5nJ5Esy8w0hH6WzOjKXKKzfkQr4V-o6EWmIVjsAqJxn3oLvp-rkXHy7kBflwG0uYZUbn5gddRg9npHvt6LTDRiXZJ-nPxSrRuHtaimh8ZDsggvuYfO1e3h0-uNs64uRwCvnF3FBFROiRHjBrmI_Tr89ZtAx2VKMU4DppiTtb61Pmcb_rrO-c2uaF6Pjp-RJQZH1wVrtz8iDODwnj3I0p59fEImX6IsYajtczuNqOU6Xvp6RQABVUmfdT3Os8RC2Rm9cp6vx70tyfnz068sJLfURqAfUtKLaJq60jzY2jeMt61LyoJAAGCsqbXvb2Q7gTvQ2eRUl950NsDxLDRhVMyv5K7IzjEN8TeqgmAtc-1ZAd65S71RgAcBbCK3tPa-I2kjF-EIejjUsrsw6sZkZFKdZi9OAOE0Wp-krwrYdpzV_xv1dDlHs2-ZIgJ0fjMuFKfPJwHBkaFKwFrZUTWgsQC0XdS-CF9E5VpEPqDSDFBcDxtAs7PU8m68_z8xBBqUcnFVFPpVGCXRhvS0pCSATZMW61XJvo3xTJvlsbkyyIs3GIG5e3zPMN___5FvyuM1mqcE698jOankd3wH-Wbn3xcj_AWyvAN4 priority: 102 providerName: ProQuest – databaseName: Springer Journals Complete - Open Access dbid: C24 link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1La9wwEBZtSqGX0ifdNg2mFHoSla2HrWMaGtJAemgbyE2MHl5Sgr2sN-Tvd0bWpg2BBgI-2Ro_ZkajT9bMJ8Y-ag82Cd9zHL8TV_iu3Lcq8ZjAegSoUmbegpPv5uhUHZ_ps3-3-qJs9-2SZI7UM5-t-JxWvwNVvAndcMorwO5hNO8eskcaJ_Dk3AdU6FCCMDF35cIiqbgRSpXUrv_c6MbAlPn7b0fpW8uleRQ6fMaeFvhY7c_2fs4epOEFe5zTOMP0kmlaPV-mWMFwPo2b9bg6D9VEzAFkiyobfTWliv6-VhSGq_5ivHrFTg-__jo44mVjBB4QLm24hV4aGxKkuvayEW3fB7RERHCVjIUOWmgR56QAfTBJy9BCxHFZWwSnVoCWr9nOMA7pDauiET5KGxqF4tL0nTdRRERtMTbQBblgZqsVFwprOG1eceHmimbhSJ1uVqdDdbqsTtctmLgWXM3EGXeLfCG1Xzcn5ut8YlwvXelIDj9Hx7qPADiXqmMNiLF8sp2KQSXvxYJ9IKM54rYYKHlmCZfT5L79_OH2MxqVGKUW7FNp1KMtIECpRUCdEB3WjZa7W-O70rsn16jW1hjoND6t3jrE38t3fObbe8i8Y0-a7Kt07LKdzfoyvUc0tPF72e__AOhU_-Q priority: 102 providerName: Springer Nature |
| Title | Charged anisotropic spherical collapse with heat flow |
| URI | https://link.springer.com/article/10.1140/epjc/s10052-021-08865-8 https://www.proquest.com/docview/2479187050 https://doaj.org/article/e535d1fdaa1741d1a063be984dc4ebb0 |
| Volume | 81 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1ba9swFBZbx2AvY1eWtQtmDPYkKlsXW49paNYNVka3QN-ErqWjOKFO2d_vObLSrfQhLwNjcCIR-ztH53yKjz4R8kk6qyNziUL-jlTAvVLXikhDtNoBQeU86xZ8P1UnS_HtXJ7_s9UX1oSN8sAjcIdRchnqFKwF7lyH2kJOdVF3IngRncuzdch528lUicEo3JXXFXFBFROiVHbBbOIwrn97XDnHZEOxPgGGmZK0u5eXsnz_wyD94G1pTkKLF-R5YY_VbLzrl-RR7F-Rp7mK0w-vicSX5xcxVLa_HFab69X60lcDCgegKaps8_UQK_zztcIoXKWr1Z83ZLk4_jU_oWVfBOqBLW2otokr7aONde14w9qUPBgiALeKStvOtrYFmhO9TV4Bfr61AdKy1MBNNbOSvyV7_aqP70gVFHOBa98I6M5V6pwKLABpC6GxnecToraoGF9Ew3HviiszLmhmBuE0I5wG4DQZTtNNCLvruB51M3Z3OULY75qj8HX-ANzBFHcwu9xhQj6i0QxKW_RYO3Nhb4bBfP15ZmaZjHIIUhPyuTRKYAvrbVmKAJigGta9lgdb45syuAfTiFbXEOck_Fq9dYi_X-94zPf_4zH3ybMmOy8eB2Rvc30TPwA72rgpedwtvkzJk6Pj0x9ncDVvBJ7VfJqHCJyXzewWE6gOEA |
| linkProvider | Directory of Open Access Journals |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Jb9QwFLaqIgQXxCoCBSIE4mTViR0nPiBUlmGGLgdopd6Mt4yKqiRMpqr4U_xG3vMkU1WV6KlSTokdxW_9HL-FkDeFNSowW1Pw34EK-FZqSxGoD0ZZAKicx7oF-wdyeiS-HRfHG-TvmAuDYZWjTYyG2rcO_5Fv56JUGQhXwT50vyl2jcLT1bGFxkosdsOfc9iy9e9nn4G_b_N88uXw05QOXQWoA6yxpMrUXCoXTMgyy3NW1rWDZXhAJkEqU5nSlAASgjO1k6HgrjQenFqhANkpZrBLBJj8W4JzhRpVTb6uLT-WC4vZTFxQyYQY4slgD7Mdul8O8_VYkVOMigDllgWtLnnD2DTgqmu4ckYbXd_kPrk3YNZ0ZyVkD8hGaB6S2zF21PWPSIFH9vPgU9Oc9O1y0XYnLu2xXAEKQBolretDir98U7T9aX3anj8mRzdCtydks2mb8JSkXjLruXK5gOlc1pWVnnmAit7npnI8IXKkinZDqXLsmHGqV2nUTCM59YqcGsipIzl1lRC2ntitqnVcP-Ujkn09HMttxxvtYq4H7dWwnMJntTcGNnCZzwwAOxtUJbwTwVqWkNfINI0FNRqM2Jmbs77Xsx_f9U6EwBxMY0LeDYNq4IVxZkiAAJpgDa5LI7dG5uvBpPT6QgESko0CcfH4mmU--_8rX5E708P9Pb03O9h9Tu7mUUTx2iKby8VZeAHIa2lfRnFPyc-b1q9_qb0-Aw |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLamTiBeEFcRGBAhEE9WnThx4geENrZqZVBNg0l7M76l2jQloek08df4dZzjJp2mSexpUp9Su6qPv3PO5_hcCHmfGy09MxUF_-1pBv-VmiLz1HktDRBUzkPdgu8zsX-cfT3JTzbI3yEXBsMqB5sYDLVrLL4jH6dZIRMAV87GVR8Wcbg7-dz-pthBCm9ah3YaK4gc-D-XcHzrPk13Ya8_pOlk7-eXfdp3GKAWeMeSSl1xIa3XPkkMT1lRVRaW5ICleCF1qQtdAGHwVldW-JzbQjtwcLkElieZxo4RYP43CzgVsRHZ3NmbHR6t_QAWDwu5TTyjgmVZH10GJ5qxb88sZu-xPKUYIwGqLnJaXvONoYXATUdx48Y2OMLJI_KwZ7Dx9gpyj8mGr5-QeyGS1HZPSY4X-HPvYl2fds1y0bSnNu6weAHCIQ64azsf4wvgGD1BXJ03l8_I8Z1I7jkZ1U3tX5DYCWYclzbNYDoXVWmEYw6Io3OpLi2PiBikomxfuBz7Z5yrVVI1UyhOtRKnAnGqIE5VRoStJ7ar2h23T9lBsa-HY_Ht8KBZzFWvywqWk7ukclrDcS5xiQaaZ7wsM2czbwyLyDvcNIXlNWoE6lxfdJ2a_jhS24EQczCUEfnYD6pgL7TVfToEyAQrcl0buTVsvuoNTKeu1CEiyQCIq69vWebL___kW3IfdEt9m84OXpEHaUAofrbIaLm48K-Bhi3Nmx7vMfl11yr2D-pvQ5U |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Charged+anisotropic+spherical+collapse+with+heat+flow&rft.jtitle=The+European+physical+journal.+C%2C+Particles+and+fields&rft.au=Charan%2C+Kali&rft.au=Yadav%2C+Om+Prakash&rft.au=Tewari%2C+B.+C.&rft.date=2021-01-01&rft.issn=1434-6044&rft.eissn=1434-6052&rft.volume=81&rft.issue=1&rft_id=info:doi/10.1140%2Fepjc%2Fs10052-021-08865-8&rft.externalDBID=n%2Fa&rft.externalDocID=10_1140_epjc_s10052_021_08865_8 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1434-6044&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1434-6044&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1434-6044&client=summon |