A simple derivation of the naked singularity in spherical dust collapse

TL;DR

This paper presents a simplified method to determine whether a singularity in spherical dust collapse is naked or covered, streamlining previous complex analyses while maintaining the same conclusions.

Contribution

A straightforward derivation method for naked singularities in spherical dust collapse, simplifying prior complex analyses without altering the results.

Findings

The method confirms when singularities are naked or covered.

Simplifies the analysis process in gravitational collapse studies.

Maintains consistency with previous results.

Abstract

We describe a simple method of determining whether the singularity that forms in the spherically symmetric collapse of inhomogeneous dust is naked or covered. This derivation considerably simplifies the analysis given in the earlier literature, while giving the same results as have been obtained before.