Effective theory approach to brane world black holes

TL;DR

This paper derives static spherically symmetric vacuum solutions in the Randall-Sundrum brane world model, revealing a family of traversable wormholes and black holes with stable configurations and regular brane intersections.

Contribution

It provides the first derivation of stable, non-trivial radion solutions including traversable wormholes and black holes in the effective theory of brane worlds.

Findings

Solutions form a one-parameter family including wormholes and black holes.

All solutions with non-trivial radion are stable under monopole perturbations.

Brane intersections are regular despite conical bulk geometry.

Abstract

We derive static spherically-symmetric vacuum solutions of the low-energy effective action for the two brane Randall-Sundrum model. The solutions with non-trivial radion belong to a one-parameter family describing traversable wormholes between the branes and a black hole, and were first discovered in the context of Einstein gravity with a conformally-coupled scalar field. From a brane world perspective, a distinctive feature of all the solutions with non-trivial radion is a brane intersection about which the bulk geometry is conical but the induced metrics on the branes are regular. Contrary to earlier claims in the literature, we show these solutions are stable under monopole perturbations.