Naked strong curvature singularities in Szekeres space-times

TL;DR

This paper explores the existence of naked singularities in Szekeres space-times, which are irrotational dust models without symmetries, and discusses their implications for the cosmic censorship hypothesis.

Contribution

It demonstrates that Szekeres space-times can contain naked singularities satisfying key focusing conditions, extending understanding beyond symmetric models.

Findings

Naked singularities exist in Szekeres space-times.

These singularities satisfy the limiting focusing condition.

Implications for cosmic censorship are discussed.

Abstract

We investigate the occurrence and nature of naked singularities in the Szekeres space-times. These space-times represent irrotational dust. They do not have any Killing vectors and they are generalisations of the Tolman-Bondi-Lemaitre space-times. It is shown that in these space-times there exist naked singularities that satisfy both the limiting focusing condition and the strong limiting focusing condition. The implications of this result for the cosmic censorship hypothesis are discussed.