Embedded interior solutions of V elaX − 1 model in f(τ,T) gravity

Abstract

This article is based on the extension of Teleparallel Theory named [Formula: see text] gravity, where the notions [Formula: see text] and [Formula: see text] abbreviate the torsion trace term of the energy–momentum tensor. This study aims to explore the anisotropic outcomes of the [Formula: see text] model. We use the field equations drawn by using the spherical symmetry, including the torsion trace term. The major components [Formula: see text] and [Formula: see text], of spherical symmetric space-time are obtained by inducing the Karmarkar condition. We can obtain the values of the involved parameters [Formula: see text],[Formula: see text], [Formula: see text] in this study by matching the interior spherical metric with the exterior Schwarzschild’s solutions of the Einstein field equations. To explore the stability of the stellar objects predicted by our study, we study the properties like metric potentials, energy density, pressures, anisotropy, gradients, EoS, energy conditions, the behavior of forces, sound speeds, adiabatic index, redshift, mass function, and compactification by graphical analysis in the background of [Formula: see text] gravity.