$f(T)$ Corrected Instability of Cylindrical Collapsing Object with Harrison-Wheeler Equation of State

TL;DR

This paper investigates the dynamical instability of a cylindrical collapsing object in generalized teleparallel gravity using the Harrison-Wheeler equation of state, considering heat conduction and torsional effects.

Contribution

It introduces a new analysis of instability ranges in cylindrical collapse within teleparallel gravity incorporating heat conduction and torsion effects.

Findings

Instability ranges depend on metric perturbations, matter properties, and torsion.

The Harrison-Wheeler equation of state influences the stability criteria.

Newtonian and post-Newtonian regimes are analyzed for collapse stability.

Abstract

In this paper, we study the dynamical instability of a collapsing object in the framework of generalized teleparallel gravity. We assume a cylindrical object with a specific matter distribution. This distribution contains energy density, isotropic pressure component with heat conduction. We take oscillating states scheme up to first order to check the instable behavior of the object. We construct a general collapse equation for underlying case with non-diagonal tetrad depending on the matter, metric functions, heat conducting term and torsional terms. The Harrison-Wheeler equation of state which contains adiabatic index is used to explore the dynamical instability ranges for Newtonian and post-Newtonian constraints. These ranges depend on perturbed part of metric coefficients, matter parts and torsion.