A generalized static spherically symmetric anisotropic compact star model in isotropic coordinates

2025/08/22 by Ratanpal, B S, Suthar, Bhavesh
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2508.16373

Abstract

In this article, an exact solution of Einstein's field equations for spherically symmetric anisotropic matter distributions in isotropic coordinates is obtained. For this, the solution has been obtained by using a generalized physically significant metric potential B(r) and a specific choice of the anisotropy. This new class of generalized solutions is singularity-free, which can be used to describe relativistic compact stars.

Citations

• The stability of relativistic stars and the role of the adiabatic index
• Sound speeds, cracking and the stability of self-gravitating anisotropic compact objects
• Anisotropic Stars: Exact Solutions
• Local anisotropy in self-gravitating systems
• Cracking of self-gravitating compact objects
• On Some Static Solutions of Einstein's Gravitational Field Equations in a Spherically Symmetric Case

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