Study on anisotropic star in extended teleparallel gravity with minimal matter coupling

Abstract

This manuscript explores the physical aspects of compact stars in f(τ,T) gravity, where τ and T express the torsion and trace of the energy–momentum tensor. To achieve this goal, we consider a spherically symmetric spacetime with an anisotropic source of fluid. In particular, the Karori–Barua spacetime is considered to explore the solution of compact stars. In addition, we select three specific types of compact stars models, namely PSRJ1416−2230, 4U1608−52, and CenX−3. We develop the field equations using the Karori–Barua spacetime with some specific form of f(τ,T) gravity. In addition, we consider the Schwarzschild geometry for the matching conditions at the boundary. Then, we calculate the values of all the relevant parameters by imposing matching conditions. We provide detailed graphical analyses for the physical acceptability of different parameters, namely energy density, pressure, anisotropy, and gradient. We also examine the stability of compact stars by exploring energy conditions, equations of state, conditions of causality, redshift functions, mass functions, and compactness functions. Finally, we find that the solutions we obtained are physically viable in modified physical acceptability and also it has good properties for the compact star models.