On the role of pressure anisotropy for relativistic stars admitting conformal motion

TL;DR

This paper explores how pressure anisotropy influences the structure of relativistic stars that admit conformal motion, providing solutions to Einstein's equations under specific anisotropic conditions.

Contribution

It introduces new solutions to Einstein's equations for anisotropic stars with conformal symmetry, considering different models of surface tension and anisotropy.

Findings

Derived expressions for pressure gradients and mass in anisotropic stars.

Analyzed two specific anisotropy cases with exact solutions.

Enhanced understanding of pressure anisotropy effects in relativistic star models.

Abstract

We investigate the spacetime of anisotropic stars admitting conformal motion. The Einstein field equations are solved using different ansatz of the surface tension. In this investigation, we study two cases in details with the anisotropy as: [1] $p_t = n p_r$ [2] $p_t - p_r = \frac{1}{8 \pi}(\frac{c_1}{r^2} + c_2)$ where, n, $c_1$ and $c_2$ are arbitrary constants. The solutions yield expressions of the physical quantities like pressure gradients and the mass.