Gravitational collapse in anti de Sitter space

TL;DR

This paper investigates the evolution of specific initial data in anti de Sitter space, demonstrating that it leads to black hole formation rather than cosmic censorship violation, using both numerical and analytical methods.

Contribution

It provides a combined numerical and analytical analysis of domain wall evolution in anti de Sitter space, confirming black hole formation instead of censorship violation.

Findings

Initial data evolves into a small black hole

No violation of cosmic censorship observed

Supports stability of anti de Sitter space under studied conditions

Abstract

A numerical and analytic treatment is presented here of the evolution of initial data of the kind that was conjectured by Hertog, Horowitz and Maeda to lead to a violation of cosmic censorship. That initial data is essentially a thick domain wall connecting two regions of anti de Sitter space. The evolution results in no violation of cosmic censorship, but rather the formation of a small black hole.