Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime

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

paper · doi:10.48550/arxiv.2508.16392

Abstract

In this work, we report a new exact solution of Einstein's field equations for static spherically symmetric anisotropic matter distributions on the background of paraboloidal spacetime by assuming a quadratic equation of state. The model parameters were found by matching the interior spacetime metric with the Schwarzschild exterior metric. The new exact solution is non-singular and meets all of the physical plausibility conditions for a realistic compact star. The detailed physical analysis of the model reveals that the gravitational potentials and matter variables are well-behaved throughout the distribution. The stability of the model has been analyzed under various conditions.

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
• Anisotropy in Bianchi-type brane cosmologies
• Local anisotropy in self-gravitating systems
• Cracking of self-gravitating compact objects
• Static Solutions of Einstein's Field Equations for Spheres of Fluid

Related

• A generalized static spherically symmetric anisotropic compact star model in isotropic coordinates
• A new solution of Einstein's field equations in isotropic coordinates
• Anisotropic star with a linear equation of state (EOS)
• The classification of interior solutions of anisotropic fluid configurations
• Physical Existence of Relativistic Stellar Models within the context of Anisotropic Matter Distribution