Black hole formation in Randall-Sundrum II braneworlds

TL;DR

This paper presents the first numerical simulation of black hole formation in Randall-Sundrum II braneworlds, demonstrating that scalar field collapse on the brane leads to black holes extending into the bulk, with evidence of a unique solution sequence.

Contribution

First numerical study of full dynamics of black hole formation in RSII braneworlds, confirming static solutions and exploring bulk extension during collapse.

Findings

Black holes form with finite bulk extension.

Evidence of a unique black hole solution sequence.

Dynamical solutions match static vacuum solutions.

Abstract

We present the first numerical study of the full dynamics of a braneworld scenario, working within the framework of the single brane model of Randall and Sundrum (RSII). In particular, we study the process of gravitational collapse driven by a massless scalar field which is confined to the brane. Imposing spherical symmetry on the brane, we show that the evolutions of sufficiently strong initial configurations of the scalar field result in black holes that have finite extension into the bulk. Furthermore, we find preliminary evidence that the black holes generated form a unique sequence, irrespective of the details of the initial data. The black hole solutions we obtain from dynamical evolutions are consistent with those previously computed from a static vacuum ansatz.