Semiclassical instability of the brane-world: Randall-Sundrum bubbles

TL;DR

This paper investigates the semiclassical instability of the Randall-Sundrum brane-world model, demonstrating how Kaluza-Klein bubbles can form and rapidly expand, creating a bridge-like geometry between branes.

Contribution

It constructs an explicit example of a bubble space-time from the AdS-Schwarzschild metric, revealing a new instability mechanism in brane-world models.

Findings

Bubble space-time resembles an Einstein-Rosen bridge.

The bubble rapidly expands, forming a trapped region.

Indicates a semiclassical instability in the model.

Abstract

We discuss the semiclassical instability of the Randall-Sundrum brane-world model against a creation of a kind of Kaluza-Klein bubble. An example describing such a bubble space-time is constructed from the five-dimensional AdS-Schwarzschild metric. The induced geometry of the brane looks like the Einstein-Rosen bridge, which connects the positive and the negative tension branes. The bubble rapidly expands and there also form a trapped region around it.