Relativistic modelling of stable anisotropic super-dense star

TL;DR

This paper develops new exact solutions to Einstein's equations for anisotropic super-dense stars, which are applicable to models like neutron stars and pulsars, enhancing understanding of their internal structure.

Contribution

It introduces a novel set of anisotropic solutions using Herrera et al.'s algorithm, extending the modeling of super-dense stars with continuous matching to Schwarzschild exterior.

Findings

Most solutions are well-behaved and physically viable.

Solutions successfully model neutron stars and pulsars.

Continuous matching to Schwarzschild exterior achieved.

Abstract

In the present article we have obtained new set of exact solutions of Einstein field equations for anisotropic fluid spheres by using the Herrera et al.[1] algorithm. The anisotropic fluid solution so obtained join continuously to Schwarzschild exterior solution across the pressure free boundary. It is observed that most of the new anisotropic solutions are well behaved and utilized to construct the super-dense star models such as neutron star and pulsars.