Gravitational collapse of charged dust cloud in the Lovelock gravity

TL;DR

This paper investigates how charge influences the gravitational collapse of inhomogeneous dust clouds within Einstein, Gauss-Bonnet, and Lovelock gravity, analyzing collapse dynamics, bounce conditions, and shell crossing phenomena.

Contribution

It provides a detailed analysis of charged dust collapse in higher-order gravity theories, highlighting conditions for bounce and shell crossing.

Findings

Charge affects collapse dynamics and bounce conditions.

Shell crossing occurs inevitably near the center if the shell is weakly charged.

The study extends understanding of gravitational collapse in Lovelock gravity.

Abstract

We study the effect of charge on gravitational collapse of inhomogeneous dust cloud in the Einstein, Gauss-Bonnet and Lovelock gravity. Dynamics of the collapsing shell is analyzed. The conditions for the occurrence of bounce during collapse are given. We also show that shell crossing occurs inevitably if the shell near the center is weakly charged.