Effective theories and black hole production in warped compactifications

TL;DR

This paper explores the four-dimensional effective theory of warped compactifications, analyzing black hole production near the TeV scale and its implications for quantum black hole dynamics in brane world scenarios.

Contribution

It provides a linearized description of the 4d stress tensor for arbitrary 5d matter distributions and discusses the conditions under which the effective theory breaks down, especially regarding black hole formation.

Findings

A 5d falling particle corresponds to a 4d expanding shell.

Breakdown of the effective description occurs with strong gravity or 5d physics.

Black hole production near the TeV scale could offer experimental insights into quantum black holes.

Abstract

We investigate aspects of the four-dimensional effective description of brane world scenarios based on warped compactification on anti-de Sitter space. The low-energy dynamics is described by visible matter gravitationally coupled to a ``dark'' conformal field theory. We give the linearized description of the 4d stress tensor corresponding to an arbitrary 5d matter distribution. In particular a 5d falling particle corresponds to a 4d expanding shell, giving a 4d interpretation of a trajectory that misses a black hole only by moving in the fifth dimension. Breakdown of the effective description occurs when either five-dimensional physics or strong gravity becomes important. In scenarios with a TeV brane, the latter can happen through production of black holes near the TeV scale. This could provide an interesting experimental window on quantum black hole dynamics.