High Energy Scattering in the Brane-World and Black Hole Production

TL;DR

This paper explores black hole formation during ultra-relativistic particle collisions in brane-world models, analyzing brane stability and conditions for black hole production using a simplified 3D Randall-Sundrum model.

Contribution

It introduces a toy model to study brane stability and black hole production, highlighting the dependence on solution continuation across the horizon.

Findings

Brane stability depends on the continuation choice across the horizon.

Unstable branes can lead to black hole formation during particle collisions.

The model provides insights into black hole production in higher-dimensional theories.

Abstract

Black hole production in the collision of ultra-relativistic particles in the brane-world approach is considered. In particular, stability of the brane under collision with ultra-relativistic particles is discussed. As a toy model we consider the 3 dimensional version of the Randall and Sundrum solution and show that stability of the brane depends on a choice of continuation of the solution across the horizon. In the unstable case black holes can be produced in the collision of a particle with the brane.