Conformally symmetric relativistic star

TL;DR

This paper explores the existence of conformal symmetry in anisotropic relativistic stars with Tolman-like interior geometry, analyzing their physical properties and comparing model predictions with observed star data.

Contribution

It introduces a model of anisotropic relativistic stars with conformal symmetry and examines their physical viability and observational consistency.

Findings

Matter satisfies energy conditions

Redshift and compactness are physically reasonable

Model predictions align with observed star data

Abstract

We investigate whether compact stars having Tolman-like interior geometry admit conformal symmetry. Taking anisotropic pressure along the two principal directions within the compact object, we obtain physically relevant quantities such as transverse and radial pressure, density and redshift function. We study the equation of state for the matter distribution inside the star. From the relation between pressure and density function of the constituent matter, we explore the nature and properties of the interior matter. The red shift function, compactness parameter are found to be physically reasonable. The matter inside the star satisfies the null, weak and strong energy conditions. Finally, we compare the masses and radii predicted from the model with corresponding values in some observed stars.