On the Relativistic anisotropic configurations

TL;DR

This paper investigates how anisotropic pressure influences the structure and solutions of relativistic stellar models, deriving new exact solutions and analyzing boundary conditions within the framework of general relativity.

Contribution

It introduces a new approach to relativistic anisotropic Lane-Emden equations and derives an exact solution for constant density anisotropic stars.

Findings

Anisotropy alters boundary conditions of TOV equations

Behavior of physical quantities near the star's center is affected by anisotropy

A new exact solution for constant density anisotropic stars is presented

Abstract

In this paper we study anisotropic spherical polytropes within the framework of general relativity. Using the anisotropic Tolman-Oppenheimer-Volkov (TOV) equations, we explore the relativistic anisotropic Lane-Emden equations. We find how the anisotropic pressure affects the boundary conditions of these equations. Also we argue that the behaviour of physical quantities near the center of star changes in the presence of anisotropy. For constant density, a class of exact solution is derived with the aid of a new ansatz and its physical properties are discussed.