Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime
General Relativity and Quantum Cosmology
2025-08-25 v1
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.
Keywords
Cite
@article{arxiv.2508.16392,
title = {Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime},
author = {B S Ratanpal and Bhavesh Suthar},
journal= {arXiv preprint arXiv:2508.16392},
year = {2025}
}