The Stability of a Shearing Viscous Star with Electromagnetic Field

TL;DR

This paper investigates how electromagnetic fields influence the stability of shearing viscous stars, revealing that electromagnetic effects tend to increase instability in both Newtonian and post-Newtonian regimes.

Contribution

It provides a detailed analysis of electromagnetic effects on star stability, including matching conditions and perturbation-based collapse equations.

Findings

Electromagnetic fields reduce the stabilizing effects of viscosity.

Electromagnetic fields increase the instability range.

Results are applicable in Newtonian and post-Newtonian limits.

Abstract

We analyze the role of electromagnetic field for the stability of shearing viscous star with spherical symmetry. Matching conditions are given for the interior and exterior metrics. We use perturbation scheme to construct the collapse equation. The range of instability is explored in Newtonian and post Newtonian (pN) limits. We conclude that the electromagnetic field diminishes the effects of shearing viscosity in the instability range and makes the system more unstable at both Newtonian and post Newtonian approximations.