Stability Analysis of Axial Reflection Symmetric Spacetime

TL;DR

This paper investigates the stability of non-static axial reflection symmetric spacetimes with anisotropic matter, analyzing how physical factors influence collapse stability under Newtonian and post-Newtonian approximations.

Contribution

It introduces a detailed stability analysis considering reflection symmetry and anisotropic stresses, highlighting the impact of the stiffness parameter and reflection terms on collapse instability.

Findings

Reflection terms increase instability ranges.

Stiffness parameter significantly affects stability.

Physical factors influence collapse behavior.

Abstract

In this paper, we explore instability regions of non-static axial reflection symmetric spacetime with anisotropic source in the interior. We impose linear perturbation on the Einstein field equations and dynamical equations to establish the collapse equation. The effects of different physical factors like energy density and anisotropic stresses on the instability regions are studied under Newtonian and post-Newtonian limits. We conclude that stiffness parameter has a significant role in this analysis while the reflection terms increase instability ranges of non-static axial collapse.