Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity

TL;DR

This paper develops a new exact model of anisotropic stars within $f(T)$ gravity, demonstrating solutions free from singularities, stable, and consistent with observed strange star data.

Contribution

It introduces a novel exact anisotropic star model in $f(T)$ gravity using Krori-Barua solutions, with detailed physical analysis and observational consistency.

Findings

Solutions are free from central singularity

Stars are potentially stable under the model

Physical parameters match observed star data

Abstract

In this paper, we have studied the new exact model of anisotropic star in $f(T)$ theory of gravity. The dynamical equations in $f(T)$ theory with the anisotropic fluid have been solved by using Krori-Barua solution. We have determined that all the obtained solutions are free from central singularity and potentially stable. The observed values of mass and radius of the different strange stars RX J 1856-37, Her X-1, and Vela X-12 have been used to calculate the values of unknown constants in Krori and Barua metric. The physical parameters like anisotropy, stability and redshift of the stars have been investigated in detail.