Strength and genericity of singularities in Tolman-Bondi-de Sitter collapse

TL;DR

This paper investigates the nature of singularities in Tolman-Bondi-de Sitter collapse, demonstrating their visibility and strength along multiple geodesics, regardless of initial conditions, indicating stability.

Contribution

It establishes that the central singularity in this collapse model is both visible and Tipler strong along many geodesics, independent of initial data, highlighting its stability.

Findings

Singularity is visible along infinite timelike geodesics.

Singularity is Tipler strong along these geodesics.

Results are independent of initial data.

Abstract

We study the curvature strength and visibility of the central singularity arising in Tolman-Bondi-de Sitter collapse. We find that the singularity is visible and Tipler strong along an infinite number of timelike geodesics, independently of the initial data, and thus stable against perturbations of the latter.