Brane-World Black Holes

TL;DR

The paper analyzes how black holes formed on a Randall-Sundrum brane manifest in the five-dimensional AdS bulk. It contrasts Schwarzschild-AdS intersections with a black string in AdS and shows that the induced wall geometry is Schwarzschild, aligning with four-dimensional GR, but the AdS horizon introduces a singularity and a near-horizon instability. The authors argue that the stable endpoint is a 'black cigar'—a localized horizon that closes before reaching the AdS horizon—offering a consistent, Schwarzschild-on-the-brane description and clarifying the endpoint of gravitational collapse in brane-world scenarios. These results illuminate horizon structure and stability in higher-dimensional gravity and have implications for the viability of RS brane-world models in reproducing observed gravity.

Abstract

Gravitational collapse of matter trapped on a brane will produce a black hole on the brane. We discuss such black holes in the models of Randall and Sundrum where our universe is viewed as a domain wall in five dimensional anti-de Sitter space. We present evidence that a non-rotating uncharged black hole on the domain wall is described by a ``black cigar'' solution in five dimensions.

Figures (2)

• Figure 1: 1. Anti-de Sitter space. Two horospheres and a horizon are shown. The vertical lines represent timelike infinity. 2. Causal structure of Randall-Sundrum model with compact fifth dimension. The arrows denote identifications.
• Figure 2: Possible causal structures for Randall-Sundrum model with non-compact fifth dimension. The dots denote points at infinity.