On the global visibility of a singularity in spherically symmetric gravitational collapse

TL;DR

This paper investigates conditions under which a singularity formed in spherically symmetric gravitational collapse can be globally visible, extending previous criteria to more general mass functions.

Contribution

It provides a sufficient condition for the global visibility of singularities in LTB dust models, including non-Taylor expandable mass functions.

Findings

Derived a new sufficient condition for global visibility.

Extended local visibility conditions to broader mass functions.

Clarified the relationship between mass function properties and singularity visibility.

Abstract

We revisit the gravitational collapse of spherically symmetric Lema\^itre - Tolman - Bondi (LTB) dust models. A sufficient condition for global visibility of singularity is given. This condition also allows us to extend the condition of local visibility to mass functions which are not Taylor expandable near the centre.