Modeling of anisotropic spheres in extended teleparallel theory with matter coupling

Abstract

This work is devoted to investigate the structures of compact stars by using spherically static symmetric space-time in the background of f(τ,T) gravity, where τ represents the torsion scalar and T represents the trace of the energy momentum tensor. We develop the field equations by using the concept of quintessence to discuss the motion by using anisotropic fluid distribution with a spherically symmetric metric. We use the convention of junction conditions to evaluate the unknown parameters used in the study of the compact stars. In this study we use the available data of three different compact objects 4U1608−52,CenX−3 and EXO1785−240. We discuss the physical and analytical existence of compact stars by satisfying some standard properties of compact stars like the behavior of the energy density, quintessence density, radial and tangential pressures, anisotropy, to elaborate the anisotropic nature of the star. We discuss the sound speeds and casuality conditions to show the stability of the system. Equilibrium of the star is justified by the TOV equation. Red-shift function, compactness, and mass function states the physical existence of the star. It is examined that all these parameters show the viability and stability of the model used in the effects of f(τ,T) gravity.