On the Stable Spherically-Symmetric Charged Dust Configurations in General Relativity

TL;DR

This paper investigates the stability of spherically symmetric charged dust configurations in general relativity, focusing on conditions under which static charged dust spheres can remain stable, especially for weakly charged layers with abnormal charge-to-mass ratios.

Contribution

It introduces stability conditions for static charged dust spheres, highlighting the role of weakly charged layers with abnormal charge relative to active mass.

Findings

Stability is achievable for bound states of weakly charged layers.

Stable configurations require abnormal charge-to-mass ratios.

The analysis provides criteria for static charged dust sphere stability.

Abstract

The radial motion of a self-graviting charged dust and stability condition of the static charged dust spheres are considered. The stability is possible for the bound states of the weakly charged layer with abnormal charge with respect to the active mass.