A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity
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 , the constant , and the radius , analytical solutions to Einstein's field equations for anisotropic matter distribution were obtained. Taking the value of 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.
Keywords
Cite
@article{arxiv.2108.00161,
title = {A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity},
author = {Jay Solanki and Bhashin Thakore},
journal= {arXiv preprint arXiv:2108.00161},
year = {2021}
}