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

TL;DR

This paper presents a new exact, non-singular anisotropic compact star model in paraboloidal spacetime using a quadratic equation of state, with detailed physical and stability analysis ensuring realistic properties.

Contribution

It introduces a novel exact solution to Einstein's equations for compact stars with quadratic EoS in paraboloidal spacetime, ensuring physical plausibility and stability.

Findings

Model is non-singular and physically viable.

Gravitational potentials and matter variables are well-behaved.

Model stability is confirmed under various conditions.

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.