Stability Analysis of the Inhomogeneous Perturbed Einstein Universe in Energy–Momentum Squared Gravity

The main objective of this article is to examine the stability of Einstein static universe using inhomogeneous perturbations in the context of energy–momentum squared gravity. For this purpose, we used FRW spacetime with perfect matter distribution and formulated static as well as perturbed field eq...

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Published inUniverse (Basel) Vol. 9; no. 3; p. 145
Main Authors Sharif, Muhammad, Gul, Muhammad Zeeshan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2023
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Abstract The main objective of this article is to examine the stability of Einstein static universe using inhomogeneous perturbations in the context of energy–momentum squared gravity. For this purpose, we used FRW spacetime with perfect matter distribution and formulated static as well as perturbed field equations. We took a minimal model of this theory to investigate the stable regions of the Einstein universe for conserved and non-conserved energy–momentum tensors. We found that stable modes of the Einstein universe appeared in both conserved and non-conserved cases for all values of the equation of state and model parameters corresponding to both open and closed cosmic models. We found that stable solutions in this modified theory were obtained for a broader ω-region compared to other modified theories.
AbstractList The main objective of this article is to examine the stability of Einstein static universe using inhomogeneous perturbations in the context of energy–momentum squared gravity. For this purpose, we used FRW spacetime with perfect matter distribution and formulated static as well as perturbed field equations. We took a minimal model of this theory to investigate the stable regions of the Einstein universe for conserved and non-conserved energy–momentum tensors. We found that stable modes of the Einstein universe appeared in both conserved and non-conserved cases for all values of the equation of state and model parameters corresponding to both open and closed cosmic models. We found that stable solutions in this modified theory were obtained for a broader ω -region compared to other modified theories.
Audience Academic
Author Sharif, Muhammad
Gul, Muhammad Zeeshan
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  surname: Gul
  fullname: Gul, Muhammad Zeeshan
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Cites_doi 10.1140/epjc/s10052-017-4597-z
10.1088/1402-4896/ac0c54
10.1140/epjp/s13360-021-01512-x
10.1103/PhysRevD.84.024020
10.1016/j.physletb.2015.04.022
10.1007/JHEP01(2021)141
10.1103/PhysRevD.92.124067
10.1103/PhysRevD.79.067504
10.1016/j.dark.2021.100849
10.3390/universe7050154
10.1103/PhysRevD.105.104026
10.1088/1402-4896/abcd67
10.1016/0550-3213(87)90670-5
10.1142/S0217732320501527
10.1140/epjp/i2014-14163-6
10.1103/PhysRevD.96.023531
10.1007/s12043-022-02399-8
10.1140/epjp/i2018-11985-0
10.1142/S0217751X21500044
10.1002/prop.202200184
10.1007/s10509-019-3711-0
10.1051/0004-6361/201525830
10.1103/PhysRevD.101.064021
10.1103/PhysRevD.81.103522
10.1103/PhysRevD.85.083505
10.1088/0264-9381/21/1/015
10.3390/sym15030684
10.1088/1361-6382/aba223
10.1016/j.aop.2021.168432
10.1140/epjc/s10052-020-7662-y
10.1103/PhysRevD.102.124059
10.1016/j.dark.2022.101084
10.1142/S0218271822400089
10.1103/PhysRevD.22.1882
10.1007/s10509-018-3398-7
10.1088/0264-9381/20/11/102
10.1134/S0040577917010111
10.1142/S021773232150214X
10.1088/1361-6382/aa95aa
10.1103/PhysRevD.79.064009
10.1103/PhysRevD.77.046009
10.1155/2021/6663502
10.1140/epjp/i2017-11807-y
10.1103/PhysRevD.96.123517
10.1016/j.dark.2022.101013
10.1103/PhysRevD.88.044023
10.1103/PhysRevD.69.103501
10.1103/PhysRevD.94.044002
10.1016/j.physrep.2011.04.001
10.1142/S0218271819500548
10.1016/j.cjph.2021.03.005
10.1088/0264-9381/21/1/016
10.1103/PhysRevD.98.063522
10.1016/j.nuclphysb.2017.04.002
10.1016/S0370-1573(98)00052-0
10.1142/S0217732320502223
10.1140/epjp/s13360-020-00116-1
10.1140/epjp/i2018-12178-7
10.1140/epjc/s10052-015-3821-y
10.1007/s10714-022-03062-8
10.1142/S0219887822500128
10.1103/PhysRevD.76.084005
10.1142/S0217732322500055
10.1088/1402-4896/ac2378
10.1103/PhysRevD.97.024011
10.1016/j.cjph.2022.06.016
10.1016/j.cjph.2018.11.008
10.1016/j.newast.2023.102003
10.1103/PhysRevD.93.124019
10.1103/PhysRevD.78.064036
10.12942/lrr-2010-3
10.1103/PhysRevD.102.064016
10.1016/j.dark.2021.100774
10.1103/PhysRevD.82.064005
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References Sharif (ref_29) 2021; 96
Sharif (ref_71) 2021; 96
Sharif (ref_40) 2023; 98
Roshan (ref_17) 2016; 94
Ilyas (ref_51) 2021; 2021
Yousaf (ref_42) 2022; 137
Ranjit (ref_21) 2021; 428
Katirci (ref_13) 2014; 129
Tegmark (ref_3) 2004; 69
Shabani (ref_64) 2017; 77
Sarkar (ref_56) 2023; 18
Bohmer (ref_63) 2009; 79
Filippenko (ref_2) 1998; 307
Seahra (ref_74) 2009; 79
Sharif (ref_38) 2022; 37
Bertolami (ref_73) 2008; 78
Sharif (ref_31) 2021; 2021
ref_59
Sharif (ref_69) 2020; 35
Sharif (ref_36) 2022; 19
Sharif (ref_39) 2023; 55
Sharif (ref_70) 2020; 35
Sharif (ref_32) 2022; 80
Board (ref_18) 2017; 96
Singh (ref_15) 2021; 31
Sharif (ref_11) 2019; 57
Ade (ref_76) 2016; 594
Li (ref_54) 2017; 96
Sharif (ref_41) 2023; 2023
Felice (ref_5) 2010; 13
Khodadi (ref_52) 2015; 75
Sharif (ref_22) 2022; 31
Ellis (ref_78) 2004; 21
Akarsu (ref_19) 2018; 97
Sharif (ref_72) 2022; 96
Sharif (ref_8) 2021; 36
Wu (ref_48) 2010; 81
Sharif (ref_68) 2019; 364
Sharif (ref_28) 2020; 96
Sharif (ref_66) 2018; 363
Cognola (ref_4) 2008; 77
Barrow (ref_46) 2003; 20
Bardeen (ref_75) 1980; 22
Nazari (ref_16) 2022; 105
Mousavi (ref_55) 2017; 919
Harko (ref_7) 2011; 84
Khodadi (ref_61) 2022; 36
Nazari (ref_27) 2020; 102
ref_35
Canonico (ref_47) 2010; 82
Bohmer (ref_62) 2007; 76
Ellis (ref_77) 2004; 21
ref_33
Haghani (ref_9) 2013; 88
Sharif (ref_10) 2018; 133
Perlmutter (ref_1) 1998; 29
Barrow (ref_45) 2012; 85
Atazadeh (ref_49) 2015; 744
Sharif (ref_37) 2021; 71
Khodadi (ref_58) 2016; 93
Chen (ref_23) 2020; 101
Sharif (ref_30) 2021; 136
Gibbons (ref_44) 1987; 292
Akarsu (ref_24) 2020; 102
Sharif (ref_12) 2019; 28
Nojiri (ref_6) 2011; 505
Heydarzade (ref_53) 2017; 190
Bohmer (ref_57) 2015; 92
Bhattacharjee (ref_14) 2020; 135
Khodadi (ref_43) 2022; 37
Akarsu (ref_20) 2018; 98
Rudra (ref_26) 2021; 33
Sharif (ref_65) 2017; 132
Kazemi (ref_25) 2020; 80
Sharif (ref_67) 2018; 133
Sharif (ref_34) 2021; 36
Khodadi (ref_50) 2017; 35
Huang (ref_60) 2020; 37
References_xml – volume: 77
  start-page: 31
  year: 2017
  ident: ref_64
  article-title: Stability of the Einstein static universe in f(R,T) gravity
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-017-4597-z
  contributor:
    fullname: Shabani
– volume: 96
  start-page: 105001
  year: 2021
  ident: ref_71
  article-title: Stability of the closed Einstein universe in energy-momentum squared gravity
  publication-title: Phys. Scr.
  doi: 10.1088/1402-4896/ac0c54
  contributor:
    fullname: Sharif
– volume: 136
  start-page: 503
  year: 2021
  ident: ref_30
  article-title: Viable wormhole solutions in energy-momentum squared gravity
  publication-title: Eur. Phys. J. Plus
  doi: 10.1140/epjp/s13360-021-01512-x
  contributor:
    fullname: Sharif
– volume: 84
  start-page: 024020
  year: 2011
  ident: ref_7
  article-title: f(R,T) gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.84.024020
  contributor:
    fullname: Harko
– volume: 744
  start-page: 363
  year: 2015
  ident: ref_49
  article-title: Einstein static Universe in non-minimal kinetic coupled gravity
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2015.04.022
  contributor:
    fullname: Atazadeh
– volume: 2021
  start-page: 22
  year: 2021
  ident: ref_51
  article-title: Emergent universe and Genesis from the DHOST cosmology
  publication-title: J. High Energy Phys.
  doi: 10.1007/JHEP01(2021)141
  contributor:
    fullname: Ilyas
– volume: 92
  start-page: 124067
  year: 2015
  ident: ref_57
  article-title: Einstein static universe in scalar-fluid theories
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.92.124067
  contributor:
    fullname: Bohmer
– volume: 79
  start-page: 067504
  year: 2009
  ident: ref_63
  article-title: Stability of the Einstein static universe in modified Gauss-Bonnet gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.79.067504
  contributor:
    fullname: Bohmer
– volume: 33
  start-page: 100849
  year: 2021
  ident: ref_26
  article-title: Thermodynamics of the apparent horizon in the generalized energy–momentum squared cosmology
  publication-title: Phys. Dark Universe
  doi: 10.1016/j.dark.2021.100849
  contributor:
    fullname: Rudra
– ident: ref_35
  doi: 10.3390/universe7050154
– volume: 105
  start-page: 104026
  year: 2022
  ident: ref_16
  article-title: Light bending and gravitational lensing in energy-momentum squared gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.105.104026
  contributor:
    fullname: Nazari
– volume: 96
  start-page: 025002
  year: 2020
  ident: ref_28
  article-title: Noether symmetry approach in energy-momentum squared gravity
  publication-title: Phys. Scr.
  doi: 10.1088/1402-4896/abcd67
  contributor:
    fullname: Sharif
– volume: 292
  start-page: 784
  year: 1987
  ident: ref_44
  article-title: The entropy and stability of the universe
  publication-title: Nucl. Phys. B
  doi: 10.1016/0550-3213(87)90670-5
  contributor:
    fullname: Gibbons
– volume: 35
  start-page: 2050152
  year: 2020
  ident: ref_69
  article-title: Stability of anisotropic perturbed Einstein universe in f(R,T) gravity
  publication-title: Mod. Phys. Lett. A
  doi: 10.1142/S0217732320501527
  contributor:
    fullname: Sharif
– volume: 129
  start-page: 163
  year: 2014
  ident: ref_13
  article-title: f(R,TμνTμν) gravity and Cardassian-like expansion as one of its consequences
  publication-title: Eur. Phys. J. Plus
  doi: 10.1140/epjp/i2014-14163-6
  contributor:
    fullname: Katirci
– volume: 96
  start-page: 023531
  year: 2017
  ident: ref_54
  article-title: Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.96.023531
  contributor:
    fullname: Li
– volume: 96
  start-page: 153
  year: 2022
  ident: ref_72
  article-title: Effects of f(R,T2) gravity on the stability of anisotropic perturbed Einstein Universe
  publication-title: Pramana J. Phys.
  doi: 10.1007/s12043-022-02399-8
  contributor:
    fullname: Sharif
– volume: 133
  start-page: 160
  year: 2018
  ident: ref_67
  article-title: Stability of Einstein universe against inhomogeneous perturbations in f(R,T,RμνTμν) gravity
  publication-title: Eur. Phys. J. Plus
  doi: 10.1140/epjp/i2018-11985-0
  contributor:
    fullname: Sharif
– volume: 36
  start-page: 2150004
  year: 2021
  ident: ref_34
  article-title: Dynamics of spherical collapse in energy-momentum squared gravity
  publication-title: Int. J. Mod. Phys. A
  doi: 10.1142/S0217751X21500044
  contributor:
    fullname: Sharif
– volume: 2023
  start-page: 2200184
  year: 2023
  ident: ref_41
  article-title: Study of charged anisotropic Karmarkar stars in f(R,T2) theory
  publication-title: Fortschritte der Phys.
  doi: 10.1002/prop.202200184
  contributor:
    fullname: Sharif
– volume: 364
  start-page: 221
  year: 2019
  ident: ref_68
  article-title: Inhomogeneous perturbations and stability analysis of the Einstein static universe in f(R,T) gravity
  publication-title: Astrophys. Space Sci.
  doi: 10.1007/s10509-019-3711-0
  contributor:
    fullname: Sharif
– volume: 594
  start-page: 13
  year: 2016
  ident: ref_76
  article-title: XIII. Cosmological parameters
  publication-title: Astron. Astrophys.
  doi: 10.1051/0004-6361/201525830
  contributor:
    fullname: Ade
– volume: 101
  start-page: 064021
  year: 2020
  ident: ref_23
  article-title: Eikonal black hole ringings in generalized energy-momentum squared gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.064021
  contributor:
    fullname: Chen
– volume: 81
  start-page: 103522
  year: 2010
  ident: ref_48
  article-title: Emergent universe from the Horava-Lifshitz gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.81.103522
  contributor:
    fullname: Wu
– volume: 85
  start-page: 083505
  year: 2012
  ident: ref_45
  article-title: Instabilities of Bianchi type IX Einstein static universes
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.85.083505
  contributor:
    fullname: Barrow
– volume: 21
  start-page: 223
  year: 2004
  ident: ref_77
  article-title: The emergent universe: Inflationary cosmology with no singularity
  publication-title: Class. Quantum Grav.
  doi: 10.1088/0264-9381/21/1/015
  contributor:
    fullname: Ellis
– ident: ref_33
  doi: 10.3390/sym15030684
– volume: 37
  start-page: 195002
  year: 2020
  ident: ref_60
  article-title: Emergent scenario in mimetic gravity
  publication-title: Class. Quantum Grav.
  doi: 10.1088/1361-6382/aba223
  contributor:
    fullname: Huang
– volume: 428
  start-page: 168432
  year: 2021
  ident: ref_21
  article-title: Constraints on Energy–Momentum Squared Gravity from cosmic chronometers and Supernovae Type Ia data
  publication-title: Ann. Phys.
  doi: 10.1016/j.aop.2021.168432
  contributor:
    fullname: Ranjit
– volume: 80
  start-page: 150
  year: 2020
  ident: ref_25
  article-title: Jeans analysis in energy–momentum-squared gravity
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-020-7662-y
  contributor:
    fullname: Kazemi
– volume: 102
  start-page: 124059
  year: 2020
  ident: ref_24
  article-title: Screening anisotropy via energy-momentum squared gravity: ΛCDM model with hidden anisotropy
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.102.124059
  contributor:
    fullname: Akarsu
– volume: 37
  start-page: 101084
  year: 2022
  ident: ref_43
  article-title: A survey of strong cosmic censorship conjecture beyond Einstein gravity
  publication-title: Phys. Dark Universe
  doi: 10.1016/j.dark.2022.101084
  contributor:
    fullname: Khodadi
– ident: ref_59
– volume: 31
  start-page: 2240008
  year: 2022
  ident: ref_22
  article-title: Gravastars with Karmarkar condition in f(R, 2) gravity
  publication-title: Int. J. Mod. Phys. D
  doi: 10.1142/S0218271822400089
  contributor:
    fullname: Sharif
– volume: 22
  start-page: 1882
  year: 1980
  ident: ref_75
  article-title: Gauge-invariant cosmological perturbations
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.22.1882
  contributor:
    fullname: Bardeen
– volume: 363
  start-page: 178
  year: 2018
  ident: ref_66
  article-title: Inhomogeneous perturbations and stability in f(G,T) gravity
  publication-title: Astrophys. Space Sci.
  doi: 10.1007/s10509-018-3398-7
  contributor:
    fullname: Sharif
– volume: 20
  start-page: 155
  year: 2003
  ident: ref_46
  article-title: On the stability of the Einstein static universe
  publication-title: Class. Quantum Grav.
  doi: 10.1088/0264-9381/20/11/102
  contributor:
    fullname: Barrow
– volume: 190
  start-page: 130
  year: 2017
  ident: ref_53
  article-title: Deformed Horava–Lifshitz cosmology and stability of the Einstein static universe
  publication-title: Theor. Math. Phys.
  doi: 10.1134/S0040577917010111
  contributor:
    fullname: Heydarzade
– volume: 36
  start-page: 2150214
  year: 2021
  ident: ref_8
  article-title: Stellar structures admitting Noether symmetries in f(R,T) gravity
  publication-title: Mod. Phys. Lett. A
  doi: 10.1142/S021773232150214X
  contributor:
    fullname: Sharif
– volume: 35
  start-page: 015010
  year: 2017
  ident: ref_50
  article-title: Emergent universe in theories with natural UV cutoffs
  publication-title: Class. Quantum Grav.
  doi: 10.1088/1361-6382/aa95aa
  contributor:
    fullname: Khodadi
– volume: 79
  start-page: 064009
  year: 2009
  ident: ref_74
  article-title: Einstein static universes are unstable in generic f(R) models
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.79.064009
  contributor:
    fullname: Seahra
– volume: 137
  start-page: 22
  year: 2022
  ident: ref_42
  article-title: Evolution of axially and reflection symmetric source in energy–momentum squared gravity
  publication-title: Eur. Phys. J. Plus
  contributor:
    fullname: Yousaf
– volume: 77
  start-page: 046009
  year: 2008
  ident: ref_4
  article-title: Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.77.046009
  contributor:
    fullname: Cognola
– volume: 2021
  start-page: 1
  year: 2021
  ident: ref_31
  article-title: Compact stars admitting noether symmetries in energy-momentum squared gravity
  publication-title: Adv. Astron.
  doi: 10.1155/2021/6663502
  contributor:
    fullname: Sharif
– volume: 132
  start-page: 526
  year: 2017
  ident: ref_65
  article-title: Anisotropic perturbations and stability of a static universe in f(G,T) gravity
  publication-title: Eur. Phys. J. Plus
  doi: 10.1140/epjp/i2017-11807-y
  contributor:
    fullname: Sharif
– volume: 96
  start-page: 123517
  year: 2017
  ident: ref_18
  article-title: Cosmological models in energy-momentum squared gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.96.123517
  contributor:
    fullname: Board
– volume: 36
  start-page: 101013
  year: 2022
  ident: ref_61
  article-title: Emergent universe from Energy–Momentum Squared Gravity
  publication-title: Phys. Dark Universe
  doi: 10.1016/j.dark.2022.101013
  contributor:
    fullname: Khodadi
– volume: 88
  start-page: 044023
  year: 2013
  ident: ref_9
  article-title: Further matters in spacetime geometry: f(R,T,RμνTμν) gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.88.044023
  contributor:
    fullname: Haghani
– volume: 98
  start-page: 035030
  year: 2023
  ident: ref_40
  article-title: Role of f(R,T2) theory on charged compact stars
  publication-title: Phys. Scr.
  contributor:
    fullname: Sharif
– volume: 69
  start-page: 103501
  year: 2004
  ident: ref_3
  article-title: Cosmological parameters from SDSS and WMAP
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.69.103501
  contributor:
    fullname: Tegmark
– volume: 94
  start-page: 044002
  year: 2016
  ident: ref_17
  article-title: Energy-momentum squared gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.94.044002
  contributor:
    fullname: Roshan
– volume: 505
  start-page: 59
  year: 2011
  ident: ref_6
  article-title: Unified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models
  publication-title: Phys. Rep.
  doi: 10.1016/j.physrep.2011.04.001
  contributor:
    fullname: Nojiri
– volume: 28
  start-page: 1950054
  year: 2019
  ident: ref_12
  article-title: Dynamics of perfect fluid collapse in f(G,T) gravity
  publication-title: Int. J. Mod. Phys. D
  doi: 10.1142/S0218271819500548
  contributor:
    fullname: Sharif
– volume: 71
  start-page: 365
  year: 2021
  ident: ref_37
  article-title: Dynamics of charged anisotropic spherical collapse in energy-momentum squared gravity
  publication-title: Chin. J. Phys.
  doi: 10.1016/j.cjph.2021.03.005
  contributor:
    fullname: Sharif
– volume: 21
  start-page: 233
  year: 2004
  ident: ref_78
  article-title: The emergent universe: An explicit construction
  publication-title: Class. Quantum Grav.
  doi: 10.1088/0264-9381/21/1/016
  contributor:
    fullname: Ellis
– volume: 98
  start-page: 063522
  year: 2018
  ident: ref_20
  article-title: Cosmological implications of scale-independent energy-momentum squared gravity: Pseudo nonminimal interactions in dark matter and relativistic relics
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.98.063522
  contributor:
    fullname: Akarsu
– volume: 919
  start-page: 523
  year: 2017
  ident: ref_55
  article-title: On the stability of Einstein static universe at background level in massive bigravity
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2017.04.002
  contributor:
    fullname: Mousavi
– volume: 307
  start-page: 31
  year: 1998
  ident: ref_2
  article-title: Results from the high-z supernova search team
  publication-title: Phys. Rep.
  doi: 10.1016/S0370-1573(98)00052-0
  contributor:
    fullname: Filippenko
– volume: 35
  start-page: 2050222
  year: 2020
  ident: ref_70
  article-title: Stability of anisotropic perturbed Einstein universe in f(R,T) theory
  publication-title: Mod. Phys. Lett. A
  doi: 10.1142/S0217732320502223
  contributor:
    fullname: Sharif
– volume: 29
  start-page: 1351
  year: 1998
  ident: ref_1
  article-title: Cosmology from type Ia supernovae
  publication-title: Bull. Am. Astron. Soc.
  contributor:
    fullname: Perlmutter
– volume: 135
  start-page: 86
  year: 2020
  ident: ref_14
  article-title: Temporally varying universal gravitational constant and speed of light in energy-momentum squared gravity
  publication-title: Eur. Phys. J. Plus
  doi: 10.1140/epjp/s13360-020-00116-1
  contributor:
    fullname: Bhattacharjee
– volume: 133
  start-page: 345
  year: 2018
  ident: ref_10
  article-title: Study of charged spherical collapse in f(G,T) gravity
  publication-title: Eur. Phys. J. Plus
  doi: 10.1140/epjp/i2018-12178-7
  contributor:
    fullname: Sharif
– volume: 75
  start-page: 13
  year: 2015
  ident: ref_52
  article-title: On the stability of Einstein static universe in doubly general relativity scenario
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-015-3821-y
  contributor:
    fullname: Khodadi
– volume: 55
  start-page: 10
  year: 2023
  ident: ref_39
  article-title: Anisotropic compact stars with Karmarkar condition in energy-momentum squared gravity
  publication-title: Gen. Relativ. Gravit.
  doi: 10.1007/s10714-022-03062-8
  contributor:
    fullname: Sharif
– volume: 19
  start-page: 2250012
  year: 2022
  ident: ref_36
  article-title: Study of stellar structures in f(R,TμνTμν) theory
  publication-title: Int. J. Geom. Methods Mod. Phys.
  doi: 10.1142/S0219887822500128
  contributor:
    fullname: Sharif
– volume: 76
  start-page: 084005
  year: 2007
  ident: ref_62
  article-title: Stability of the Einstein static universe in f(R) gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.76.084005
  contributor:
    fullname: Bohmer
– volume: 37
  start-page: 2250005
  year: 2022
  ident: ref_38
  article-title: Role of energy-momentum squared gravity on the dynamics of charged dissipative plane symmetric collapse
  publication-title: Mod. Phys. Lett. A
  doi: 10.1142/S0217732322500055
  contributor:
    fullname: Sharif
– volume: 96
  start-page: 125007
  year: 2021
  ident: ref_29
  article-title: Noether symmetries and anisotropic universe in energy-momentum squared gravity
  publication-title: Phys. Scr.
  doi: 10.1088/1402-4896/ac2378
  contributor:
    fullname: Sharif
– volume: 97
  start-page: 024011
  year: 2018
  ident: ref_19
  article-title: Cosmic acceleration in a dust only Universe via energy-momentum powered gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.97.024011
  contributor:
    fullname: Akarsu
– volume: 80
  start-page: 58
  year: 2022
  ident: ref_32
  article-title: Scalar field cosmology via Noether symmetries in energy-momentum squared gravity
  publication-title: Chin. J. Phys.
  doi: 10.1016/j.cjph.2022.06.016
  contributor:
    fullname: Sharif
– volume: 57
  start-page: 329
  year: 2019
  ident: ref_11
  article-title: Dynamics of cylindrical collapse in f(G,T) gravity
  publication-title: Chin. J. phys.
  doi: 10.1016/j.cjph.2018.11.008
  contributor:
    fullname: Sharif
– volume: 18
  start-page: 102003
  year: 2023
  ident: ref_56
  article-title: Emergent cosmology in models of nonlinear electrodynamics
  publication-title: New Astron.
  doi: 10.1016/j.newast.2023.102003
  contributor:
    fullname: Sarkar
– volume: 93
  start-page: 124019
  year: 2016
  ident: ref_58
  article-title: Emergent universe in Horava-Lifshitz-like F(R) gravity
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.93.124019
  contributor:
    fullname: Khodadi
– volume: 78
  start-page: 064036
  year: 2008
  ident: ref_73
  article-title: Nonminimal coupling of perfect fluids to curvature
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.78.064036
  contributor:
    fullname: Bertolami
– volume: 13
  start-page: 161
  year: 2010
  ident: ref_5
  article-title: f(R) theories
  publication-title: Living Rev. Relativ.
  doi: 10.12942/lrr-2010-3
  contributor:
    fullname: Felice
– volume: 102
  start-page: 064016
  year: 2020
  ident: ref_27
  article-title: Generalized energy-momentum squared gravity in the Palatini formalism
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.102.064016
  contributor:
    fullname: Nazari
– volume: 31
  start-page: 100774
  year: 2021
  ident: ref_15
  article-title: Color-flavor locked quark stars in energy–momentum squared gravity
  publication-title: Phys. Dark Universe
  doi: 10.1016/j.dark.2021.100774
  contributor:
    fullname: Singh
– volume: 82
  start-page: 064005
  year: 2010
  ident: ref_47
  article-title: Stability of the Einstein static universe in open cosmological models
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.82.064005
  contributor:
    fullname: Canonico
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SubjectTerms Cosmology
Einstein cosmos
Energy
Energy conservation
Gravity
Light
modified theory
Pakistan
Perturbation (Astronomy)
Radiation
Space and time
Spacetime
Stability analysis
Universe
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Title Stability Analysis of the Inhomogeneous Perturbed Einstein Universe in Energy–Momentum Squared Gravity
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