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

• Published in: Astrophysics 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
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2025; Springer Nature B.V
• Subjects: 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; Anisotropy; Quadratic equation of state; Generalised Tolman - Kuchowicz metric; General relativity
• ISSN: 0004-640X; 1572-946X
• DOI: 10.1007/s10509-025-04478-9

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.