Isotropic stars in higher-order torsion scalar theories

TL;DR

This paper explores isotropic star solutions within higher-order torsion scalar theories, identifying stable models and analyzing their potential to form stellar structures and reach equilibrium.

Contribution

It introduces two new isotropic solutions in higher-order torsion theories, analyzing their stability and suitability for stellar modeling.

Findings

One solution is unstable, the other is stable.

One model can construct stellar structures, the other cannot.

One model tends toward equilibrium in the generalized TOV analysis.

Abstract

Two tetrad spaces reproducing spherically symmetric spacetime are applied to the equations of motion of higher-order torsion theories. Assuming the existence of conformal Killing vector, two isotropic solutions are derived. We show that the first solution is not stable while the second one confirms a stable behavior. We also discuss the construction of the stellar model and show that one of our solution capable of such construction while the other cannot. Finally, we discuss the generalized Tolman-Oppenheimer-Volkoff and show that one of our models has a tendency to equilibrium.