Quintessence anisotropic stellar models in quadratic and Born-Infeld modified Teleparallel Rastall gravity

Abstract

Abstract This study aims to discuss anisotropic solutions that are spherically symmetric in the quintessence field, which describe compact stellar objects in the Modified Rastall Teleparallel theory of gravity. To achieve this goal, the Krori and Barua arrangement for spherically symmetric components of the line element is incorporated. We explore the field equations by selecting appropriate off-diagonal tetrad fields. Born-Infeld function of torsion $f(T) = \beta \sqrt {\lambda T + 1} - 1$ and power law form h(T) = δ T n are used. This, Born-Infeld gravity was the first modified teleparallel gravity to discuss inflation. We use the linear equation of state p r = ξρ to separate the quintessence density. After obtaining the field equations, we investigate different physical parameters that demonstrate the stability and physical acceptability of the stellar models. We use observational data, such as the mass and radius of the compact star candidates PSRJ 1416 - 2230, Cen X - 3, & 4U 1820 - 30, to ensure the physical plausibility of our findings.