Physical aspects of anisotropic compact stars in gravity with off diagonal tetrad

Abstract

This study addresses the formation of anisotropic compact star models in the background of gravity (where T and represent the torsion and trace of the energy momentum tensor, respectively). gravity is an extension of the theory, and it allows a general non-minimal coupling between T and . In this setup, we apply Krori and Barua's solution to the static spacetime with the components and . To develop viable solutions, we select a well-known model (where αand β are coupling parameters, and ϕ indicates the cosmological constant). We adopt the conventional matching of interior and exterior space time to evaluate the unknowns, which are employed in the stellar configuration. We present a comprehensive discussion on the stellar properties to elaborate the anisotropic nature of compact stars corresponding to well-known models: , , , , and . Via physical analysis, it is observed that the solution of compact spheres satisfy the acceptability criteria, and its models behave optimally and depict stability and consistency, in accordance with gravity.