Relativistic Solutions of Anisotropic Compact Objects

TL;DR

This paper introduces new relativistic models for anisotropic compact stars, detailing their internal structure and parameters, and demonstrating their physical viability with models of known stellar objects at nuclear densities.

Contribution

It provides a novel class of exact solutions for anisotropic stellar models with specific parameterizations, expanding the set of physically acceptable relativistic star solutions.

Findings

Energy density and pressures are finite and positive inside stars.

Models describe compact objects with nuclear density.

Parameters are determined for physically viable stellar configurations.

Abstract

We present a class of new relativistic solutions with anisotropic fluid for compact stars in hydrostatic equilibrium. The interior space-time geometry considered here for compact objects are described by parameters namely, $\lambda$, $k$, $A$, $R$ and $n$. The values of the geometrical parameters are determined here for obtaining a class of physically viable stellar models. The energy-density, radial pressure and tangential pressure are finite and positive inside the anisotropic stars. Considering some stars of known mass we present stellar models which describe compact astrophysical objects with nuclear density.