Strong curvature singularities in quasispherical asymptotically de Sitter dust collapse

TL;DR

This paper investigates the nature of singularities in quasispherical dust collapse within Szekeres spacetimes with a positive cosmological constant, revealing conditions for their visibility and strength.

Contribution

It demonstrates that such singularities can be locally naked, Tipler strong, and arise from a non-zero-measure set of initial data, with curvature strength independent of initial conditions.

Findings

Singularities can be locally naked and Tipler strong.

Curvature strength is independent of initial data.

Singularities develop from a non-zero-measure set of initial data.

Abstract

We study the occurrence, visibility, and curvature strength of singularities in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find that such singularities can be locally naked, Tipler strong, and develop from a non-zero-measure set of regular initial data. When examined along timelike geodesics, the singularity's curvature strength is found to be independent of the initial data.