Anisotropic compact stars on generalized Tolman-Kuchowicz spacetime with quadratic equation of state

This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952–0607 by using Generalized Tolman - Kuchowicz space-time metric with quadratic equation of state. We have obtained the bound on the model parameter n grap...

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Published inAstrophysics and space science Vol. 370; no. 8; p. 88
Main Authors Acharya, Hemani R., Pandya, Dishant M., Parekh, Bharatkumar B., Thomas, V. O.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.08.2025
Springer Nature B.V
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ISSN0004-640X
1572-946X
DOI10.1007/s10509-025-04478-9

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Abstract This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952–0607 by using Generalized Tolman - Kuchowicz space-time metric with quadratic equation of state. We have obtained the bound on the model parameter n graphically and achieved the stable stellar structure of the mathematical model of a compact object. The stability of the generated model is examined by the Tolman - Oppenheimer - Volkoff equation and the Harrison-Zeldovich-Novikov criterion. This anisotropic compact star model fulfills all the required stability criteria including the causality condition, adiabatic index, Buchdahl condition, Herrera’s cracking condition, and pertains free from central singularities.
AbstractList This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952–0607 by using Generalized Tolman - Kuchowicz space-time metric with quadratic equation of state. We have obtained the bound on the model parameter n graphically and achieved the stable stellar structure of the mathematical model of a compact object. The stability of the generated model is examined by the Tolman - Oppenheimer - Volkoff equation and the Harrison-Zeldovich-Novikov criterion. This anisotropic compact star model fulfills all the required stability criteria including the causality condition, adiabatic index, Buchdahl condition, Herrera’s cracking condition, and pertains free from central singularities.
ArticleNumber 88
Author Parekh, Bharatkumar B.
Thomas, V. O.
Pandya, Dishant M.
Acharya, Hemani R.
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  givenname: Dishant M.
  surname: Pandya
  fullname: Pandya, Dishant M.
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  organization: Department of Mathematics, Pandit Deendayal Energy University
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  fullname: Parekh, Bharatkumar B.
  organization: Department of Physics, Pandit Deendayal Energy University
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  givenname: V. O.
  surname: Thomas
  fullname: Thomas, V. O.
  organization: Department of Mathematics, Faculty of Science, The M. S. University of Baroda
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Quadratic equation of state
Generalised Tolman - Kuchowicz metric
General relativity
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Snippet This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952–0607 by...
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SubjectTerms Anisotropy
Astrobiology
Astronomy
Astrophysics and Astroparticles
Black holes
Cosmology
Dark energy
Einstein equations
Equations of state
Gravitational waves
Gravity
Mathematical models
Neutron stars
Neutrons
Observations and Techniques
Partial differential equations
Phase transitions
Physical properties
Physics
Physics and Astronomy
Quadratic equations
Quarks
Singularities
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Spacetime
Stability criteria
Stellar structure
Theory of relativity
Title Anisotropic compact stars on generalized Tolman-Kuchowicz spacetime with quadratic equation of state
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