Neutral compact spherically symmetric stars in teleparallel gravity

TL;DR

This paper introduces new neutral, uncharged spherically symmetric star solutions within teleparallel gravity, analyzing their stability, energy conditions, and causality constraints using anisotropic matter models.

Contribution

It provides novel solutions in TEGR with non-diagonal tetrads and explores their physical stability and energy conditions, advancing understanding of compact stars in teleparallel gravity.

Findings

Stable static solutions under certain conditions

Energy and causality constraints satisfied

Insights into star structure in TEGR

Abstract

We present novel neutral and uncharged solutions that describe the cluster of Einstein in the teleparallel equivalent of general relativity (TEGR). To this end, we use a tetrad field with non-diagonal spherical symmetry which gives the vanishing of the off-diagonal components for the gravitational field equations in the TEGR theory. The clusters are calculated by using an anisotropic energy-momentum tensor. We solve the field equations of TEGR theory, using two assumptions: the first one is by using an equation of state that relates density with tangential pressure while the second postulate is to assume a specific form of one of the two unknown functions that appear in the non-diagonal tetrad field. Among many things presented in this study, we investigate the static stability specification. We also study the Tolman-Oppenheimer-Volkoff equation of these solutions in addition to the conditions of energy. The causality constraints with the adiabatic index in terms of the limit of stability are discussed.