Anisotropic relativistic fluid spheres with a linear equation of state

TL;DR

This paper develops new exact solutions for anisotropic relativistic fluid spheres using Einstein's equations, analyzing their physical properties and applicability to known compact stars.

Contribution

It introduces three novel classes of solutions for anisotropic matter distributions with a linear equation of state, expanding the modeling of compact objects.

Findings

Models satisfy energy conditions and causality.

Solutions are physically acceptable for known compact stars.

Analysis confirms stability and realistic physical parameters.

Abstract

In this work, we present a class of relativistic and well-behaved solution to Einstein's field equations for anisotropic matter distribution. We perform our analysis by using the Buchdahl ansatz for the metric function grr. Three different classes of new exact solution are found for anisotropy factor(delta). We have analyzed our model with various physical aspects such as pressure (radial as well as transverse), energy density, anisotropy factor, mass, compactness parameter, adiabatic index(gamma) and surface redshift. A graphical analysis of energy conditions, TOV equation and causality condition indicates the model are well behaved. The physical acceptability of the model has verified by considering compact objects with similar mass and radii, such as 4U 1820-30,Vela X-1, PSR J1614-2230, LMC X-4, SMC X-1, 4U 1538-52, Her X-1, Cyg X-2, PSR B1913+16 and PSR J1903+327.