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

Abdul Jawad,M Azam

doi:10.1155/2018/7265785

Abstract

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 and 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 nondiagonal 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.

Highlights

General relativity is one of the most acceptable theories of gravity which describes many natural phenomena of the universe
Dynamical instability ranges are used for spherically symmetric objects such as galactic halos and globular clusters, while cylindrical symmetry and plates are associated with the postshocked clouds at stellar scale
Chandrasekhar [18] gave the direction to study and explore the dynamical instability in demonstrating the development and shaping of stellar objects that must be stable against fluctuations

Summary

Introduction

General relativity is one of the most acceptable theories of gravity which describes many natural phenomena of the universe. Some authors [21, 28] studied the instability ranges of spherically symmetric collapsing star with the presence of charge and without charge in f(R) gravity and concluded that these instability ranges are based on geometry, matter, and curvature. In order to match interior and exterior regions of cylindrical symmetric collapsing star, we use junction conditions defined by Darmois. For this purpose, we consider the Cenergy; i.e., mass function representing matter inside the cylinder is given by [36].

Oscillating States and Collapse Equation

C0A0B20

Instability Ranges

Findings

Conclusion