Physical viability of anisotropic strange spheres in non-linear teleparallel gravity

Abstract The main objective of present work is to construct some interesting static and spherically symmetric stellar models in a general teleparallel gravitational framework namely f ( T ) gravity ( T denotes the torsion scalar) by taking non-diagonal tetrad into account. For this purpose, we consider a generic well-proposed f ( T ) model defined by f ( T ) = T − α 1 T 6 m 1 + α 2 T 6 m 2 , where m 2 ≥ 1 and m 1 , α 1 , α 2 are any real arbitrary constants, and the interior geometry is assumed to be filled with anisotropic matter. For the sake of simplicity in calculations, two interesting and viable forms of one metric component are taken into account (already available in literature) and the resulting forms of other component are calculated by making use of well-known Karmarkar embedding approach. Further, we match the interior and exterior geometries and calculate the involved arbitrary constants by taking the observed data (mass and radius) of two well-known strange stars namely PSR J1416-2230 and LMC X-4 and investigate the physical features of the obtained stellar structures. From the graphical illustration of different physical measures like pressures, density, anisotropy, speeds of sound, equilibrium conditions, energy conditions and red shift etc., it is concluded that behavior of these parameters favors to realistic and viable models of compact star.