Anisotropic Compact Stars in $f(T)$ Gravity

TL;DR

This paper models anisotropic compact stars within $f(T)$ gravity, analyzing their physical properties and stability using exact solutions and observational data.

Contribution

It introduces a novel application of $f(T)$ gravity to model anisotropic compact stars with specific solutions and observational constraints.

Findings

Stars satisfy regularity and stability conditions

Anisotropic behavior confirmed in models

Surface redshift within expected ranges

Abstract

This paper deals with the theoretical modeling of anisotropic compact stars in the framework of $f(T)$ theory of gravity, where $T$ is torsion scalar. To this end, we have used the exact solutions of Krori and Barua metric to a static spherically symmetric metric. The unknown constants involved in the Krori and Barua metric have been specified by using the masses and radii of compact stars 4$U$1820-30, Her X-1, SAX J 1808-3658. The physical properties of these stars have been analyzed in the framework of $f(T)$ theory. In this setting, we have checked the anisotropic behavior, regularity conditions, stability and surface redshift of the compact stars.