Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity

TL;DR

This study investigates the dynamical instability of a cylindrically symmetric collapsing star within generalized teleparallel gravity, analyzing how matter, metric, and torsion influence collapse stability in Newtonian and post-Newtonian regimes.

Contribution

It develops a framework for analyzing collapse instability in generalized teleparallel gravity with anisotropic matter and derives instability conditions in different gravitational regimes.

Findings

Instability ranges depend on matter, metric, mass, and torsion.

Results reduce to general relativity in specific limits.

Unstable behavior is influenced by anisotropic pressure and torsion effects.

Abstract

This paper is devoted to analyze the dynamical instability of a self-gravitating object undergoes to collapse process. We take the framework of generalized teleparallel gravity with cylindrically symmetric gravitating object. The matter distribution is represented by locally anisotropic energy-momentum tensor. We develop basic equations such as dynamical equations along with matching conditions and Harrison-Wheeler equation of state. By applying linear perturbation strategy, we construct collapse equation which is used to accomplish the instability ranges in Newtonian and post-Newtonian regimes. We find these ranges for isotropic pressure as well as reduce the results in general relativity. The unstable behavior depends on matter, metric, mass and torsion based terms.