A structural analysis of self-gravitating anisotropic stars via equation of state in modified teleparallel gravity

Abstract

This work aims to explore spherically symmetric anisotropic solutions describing compact stellar objects in the extended teleparallel theory of gravity with matter coupling. For this purpose, we use the Adler Finch Skea geometry for both the off-diagonal and diagonal tetrads. We explore the complete matching of the tetrad fields for two different choices of the function f(T,T), i.e., linear and nonlinear models. We obtain complete solutions to the stellar models by taking the strange quark matter distribution after defining the MIT bag model equation of state, pr=13(ρ−4BG). By using the proper choice of the tetrad forms, we incorporate the generic model f(T,T)=αTn(r)+βT(r), which can be treated as linear and nonlinear models depending upon the value of parameter n. After obtaining the field equations, we investigate different physical parameters showing the stability and physical acceptability of the stellar models by using the observational data like mass and radius of PSRJ1416−2230, 4U1608−52, CenX−3, EXO1785−248, and SMCX−1 models.

Keywords

• Anisotropic spheres
• Modified teleparallel gravity
• MIT bag model