Anisotropic compact star models in f (T) gravity with Tolman-Kuchowicz spacetime

Abstract

© 2021 World Scientific Publishing Company.The purpose of this work is to present stellar models for anisotropic matter distribution in the framework of f(T) gravity with torsion scalar T. In this regard, we use the interior geometry of Tolman-Kuchowicz spacetime having the potential components of the form ψ = Br2 + 2ln C and χ =ln(1 + ar2 + br4), where a, b, B and C are constants which have been evaluated with the aid of matching conditions on the surface of interior and exterior spacetimes. Off-diagonal tetrad is used to obtain the modified Field Equations (FEs). We use power law of f(T) gravity to get all the physical parameters such as principal stresses, density. We discuss anisotropy of the system and its effects on the system. The physical analysis is also presented by measuring speeds of sound, equilibrium conditions, energy conditions and redshift, etc. We choose some compact star models to present graphical description of the solution.