Anisotropic strange stars with off-diagonal tetrad in f(T,𝒯 ) gravity

This paper explores the aspects of compact stars in [Formula: see text] gravity, where [Formula: see text] and [Formula: see text] express the torsion and trace of the energy–momentum tensor. To achieve this goal, we consider a spherically symmetric spacetime with an anisotropic source of fluid. In particular, the Krori–Barua (KB) spacetime is considered to explore the solution of compact stars. In addition, we select three specific types of compact stars models, namely J1416-2230, 4U 1608-52 and Cen X-3. We develop the field equations using the KB spacetime with some specific form of [Formula: see text] gravity. In addition, we consider the Schwarzschild geometry for the matching conditions at the boundary. Then, we calculate the values of all the relevant parameters by imposing matching conditions. We provide detailed graphical analysis to discuss the physical acceptability of different parameters, namely energy density, pressure, anisotropy and gradient. We also examine the stability of compact stars by exploring energy conditions, equations of state, conditions of causality, redshift functions, mass functions and compactness functions. Finally, we find that the obtained solutions are physically viable and also having good properties for the compact star models.

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