Dynamics of Anti-de Sitter Domain Walls

TL;DR

This paper investigates the dynamics of moving domain walls in a Randall-Sundrum universe, analyzing their trajectories and implications for localized gravity by patching AdS$_5$ black hole solutions.

Contribution

It introduces a method to model moving domain walls in AdS space using patched black hole solutions and explores their cosmological implications.

Findings

Wall trajectories can be classified and understood through junction equations.

The motion of the domain wall affects the localization of gravity.

Different wall motions correspond to cosmological expansion or contraction.

Abstract

We study solutions corresponding to moving domain walls in the Randall-Sundrum universe. The bulk geometry is given by patching together black hole solutions in AdS$_5$, and the motion of the wall is determined from the junction equations. Observers on the wall interpret the motion as cosmological expansion or contraction. We describe the possible wall trajectories, and examine the consequences for localized gravity on the wall.