Anisotropic stellar solutions in torsion-trace gravity under Karmarkar condition
Abstract
In this paper, we formulate exact anisotropic interior solutions of the Einstein field equations preserving spherically symmetric geometry in the context of f(T,𝒯) gravity. To make the system close, we consider a linear function in torsion scalar (T) and trace of energy–momentum tensor (𝒯), and employ the well-known Karmarkar condition with metric potential of the form eλ(r)=1+cr2(erf(1+ar2))2. We consider standard data of some well-known compact star models (Vela X-1, PSR J1614-2230, Cen X-3 and EXO 1785-248) to estimate the unknown model parameters. We perform physical analysis of the developed model in detail, which includes density profile, pressure profile, anisotropy factor, mass function, gravitational/surface redshift, compactness factor, energy bounds, stability criteria, and the equilibrium condition. The analysis leads us to conclude that solutions are well-behaved and physically viable.
