Inside and outside stories of black-branes in anti de Sitter space

TL;DR

This paper uses numerical simulations to study black-branes in anti de Sitter space, revealing insights into their formation, internal structure, and scalar field dynamics, with implications for cosmic censorship and AdS/CFT correspondence.

Contribution

It provides the first detailed numerical analysis of black-brane formation and internal structure in AdS space, highlighting differences from charged black holes and exploring scalar field behavior.

Findings

Weak cosmic censorship is upheld during collapse.

Mass inflation is milder than in charged black holes.

A scalar 'charge cloud' persists outside the horizon.

Abstract

In this paper, we investigate the dynamics inside and outside of black-branes in anti de Sitter space by numerical simulations using double-null formalism. We prepare a charged planar matter shell which, due to a negative cosmological constant, collapses and dynamically forms a black-brane with an apparent horizon, a singularity and a Cauchy horizon. The gravitational collapse cannot form a naked overcharged black-brane and hence weak cosmic censorship is safe. Although mass inflation occurs, the effect is much milder than in the case of charged black holes; hence, strong cosmic censorship seems not to be safe. We observed the scalar field dynamics outside the horizon. There should remain a non-trivial scalar field combination - 'charge cloud' - between the horizon and the boundary. This can give some meaning in terms of the AdS/CFT correspondence.