Singularity in Gravitational Collapse of Plane Symmetric Charged Vaidya Spacetime

TL;DR

This paper investigates the gravitational collapse of a plane symmetric charged Vaidya spacetime, revealing the formation of a naked, strong curvature singularity that challenges the cosmic censorship hypothesis.

Contribution

It provides a detailed analysis showing that such collapse results in a naked, strong singularity, serving as a counterexample to the cosmic censorship hypothesis.

Findings

Weak energy condition is always satisfied.

Singularity formed is naked and strong in Tipler's sense.

Counterexample to cosmic censorship hypothesis.

Abstract

We study the final outcome of gravitational collapse resulting from the plane symmetric charged Vaidya spacetime. Using the field equations, we show that the weak energy condition is always satisfied by collapsing fluid. It is found that the singularity formed is naked. The strength of singularity is also investigated by using Nolan's method. This turns out to be a strong curvature singularity in Tipler's sense and hence provides a counter example to the cosmic censorship hypothesis.