Exploring the bulk of tidal charged micro-black holes

TL;DR

This paper investigates the five-dimensional bulk structure of tidal charged micro-black holes in brane-world models, using an analytical multipole expansion to identify parameter combinations that yield regular bulk geometries, relevant for TeV-scale black hole physics.

Contribution

It introduces a propagating algorithm based on multipole expansion to analyze the bulk metric of tidal charged black holes and explores parameter conditions for regularity.

Findings

Identifies parameter regimes with regular bulk geometries for microscopic black holes.

Provides analytical expressions for bulk metric elements as functions of key parameters.

Enhances understanding of TeV-scale black hole properties in brane-world scenarios.

Abstract

We study the bulk corresponding to tidal charged brane-world black holes. We employ a propagating algorithm which makes use of the three-dimensional multipole expansion and analytically yields the metric elements as functions of the five-dimensional coordinates and of the ADM mass, tidal charge and brane tension. Since the projected brane equations cannot determine how the charge depends on the mass, our main purpose is to select the combinations of these parameters for which black holes of microscopic size possess a regular bulk. Our results could in particular be relevant for a better understanding of TeV-scale black holes.