Anisotropic stellar model in F(T,𝒯� ) gravity under the Karmarkar condition

Abstract

In this study, we have explored an anisotropic stellar configuration by applying the Karmarkar condition in the framework of [Formula: see text] [where [Formula: see text] and [Formula: see text] stand for torsion and trace of energy–momentum tensor (EMT)] gravity. We have developed field equations of [Formula: see text] gravity for a spherically symmetric line element and considered a viable [Formula: see text] model, i.e. [Formula: see text] (where [Formula: see text] and [Formula: see text] are arbitrary constants) for meaningful results. Following [S. K. Maurya, B. S. Ratanpal and M. Govender, Ann. Phys. 382 (2017) 36], a spherically symmetric solution of embedding class I has been explored which resulted into a generalized compact stellar model. For the evaluation of unknown parameters, we use the matching conditions at the boundary by taking spherical space-time metric as interior and Schwarzschild space-time solution as exterior space-time metric. The viability of our proposed model is checked by exploring the nature of thermodynamical variables ([Formula: see text], [Formula: see text], [Formula: see text]), anisotropy, energy condition, Tolman–Oppenheimer–Volkov (TOV) forces, Abreu condition, equation of state parameters and adiabatic index taking the observational data of different compact stars like PSR J1416-2230, 4U 1608-52, Cen X-3, EXO 1785-248 and SMC X-1. Our stellar model is found.