Effects of Electromagnetic Field on the Dynamical Instability of Cylindrical Collapse

TL;DR

This paper investigates how electromagnetic fields and dissipation affect the dynamical instability of cylindrical gravitational collapse in Newtonian and post-Newtonian regimes, highlighting differences from spherical symmetry.

Contribution

It introduces a perturbation analysis of charged, heat-conducting fluids in cylindrical symmetry, revealing the impact of electromagnetic fields on stability criteria.

Findings

Electromagnetic fields influence the stability conditions of collapsing cylinders.

The adiabatic index for cylindrical collapse is lower than that for spherical symmetry.

Dissipation and electromagnetic effects modify the instability thresholds.

Abstract

The objective of this paper is to discuss the dynamical instability in the context of Newtonian and post Newtonian regimes. For this purpose, we consider non-viscous heat conducting charged isotropic fluid as a collapsing matter with cylindrical symmetry. Darmois junction conditions are formulated. The perturbation scheme is applied to investigate the influence of dissipation and electromagnetic field on the dynamical instability. We conclude that the adiabatic index $\Gamma$ has smaller value for such a fluid in cylindrically symmetric than isotropic sphere.