Analytic models of Anisotropic Strange Stars in $f(T)$ Gravity with Off-diagonal tetrad

TL;DR

This paper develops analytic models of anisotropic strange stars within $f(T)$ gravity using non-diagonal tetrads, analyzing their physical properties, stability, and applying the model to observed compact stars.

Contribution

It introduces a new analytic framework for modeling anisotropic strange stars in $f(T)$ gravity with non-diagonal tetrads, including stability and observational analysis.

Findings

Models satisfy physical and energy conditions.

Stars exhibit stable anisotropic behavior.

Surface redshift and matter variables are explicitly determined.

Abstract

This paper is devoted to study the analytic models of anisotropic compact stars in $f(T)$ gravity (where $T$ is torsion scalar), with non-diagonal tetrad. By taking the anisotropic source inside the spherically symmetric star, the equations of motions have been derived in the context of $f(T)$ gravity. Krori and Barua metric which satisfies the physical requirement of a realistic star, has been applied to describe the compact objects like strange stars. We use the power law form of $f(T)$ model to determine explicit relations of matter variables. Further, we have found the anisotropic behavior, energy conditions, stability and surface redshift of stars. Using the masses and radii of 4$U$1820-30, Her X-1, SAX J 1808-3658, we have determined the constants involved in metric components. Finally we discuss the graphical behavior of the analytic description of strange star candiddates.