New exact solutions on the Randall-Sundrum 2-brane: lumps of dark radiation and accelerated black holes

TL;DR

This paper derives new exact solutions for a 2-brane in AdS space, including accelerated black holes and dark radiation lumps, extending previous models by relaxing fine-tuning conditions.

Contribution

It introduces two novel classes of solutions for a 2-brane in AdS space, including a time-dependent metric and accelerated black holes, without fine-tuning parameters.

Findings

First exact solution describing two interacting objects on the brane.

New solutions include time-dependent and accelerated black holes.

Provides a qualitative CFT interpretation of the solutions.

Abstract

We provide the most general embedding of a purely tensional 2-brane in a 3+1 dimensional bulk described by the AdS C-metric. The AdS C-metric has been first considered as bulk metric by Emparan, Horowitz and Myers (hep-th/9911043 and hep-th/9912135), who have found metrics describing a brane localized black hole. In those papers, one of the parameters of the bulk C-metric was fine-tuned to the brane tension. We relax this fine tuning and we find two new classes of solutions, the first describing a time dependent, rotationally symmetric metric, the second describing accelerated black holes on the brane. This is the first exact solution on the brane describing two objects in interaction. We discuss the qualitative CFT interpretation of these solutions.