A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity

TL;DR

This paper introduces a new analytical model for anisotropic neutron stars within General Relativity, providing stable, realistic solutions that satisfy physical conditions and exhibit a linear equation of state.

Contribution

The authors develop a novel class of analytical solutions for anisotropic neutron stars considering realistic physical conditions within General Relativity.

Findings

Model obeys all physical conditions for stability and realism

Proposed solutions exhibit a linear equation of state

Model parameters are consistent with observed neutron star properties

Abstract

A new class of solutions describing analytical solutions for compact stellar structures has been developed within the tenets of General Relativity. Considering the inherent anisotropy in compact stars, a stable and causal model for realistic anisotropic neutron stars was obtained using the general theory of relativity. Assuming a physically acceptable non-singular form of one metric potential and radial pressure containing the curvature parameter $R$, the constant $k$, and the radius $r$, analytical solutions to Einstein's field equations for anisotropic matter distribution were obtained. Taking the value of $k$ as -0.44, it was found that the proposed model obeys all necessary physical conditions, and it is potentially stable and realistic. The model also exhibits a linear equation of state, which can be applied to describe compact stars.