# Brane World Black Rings

## TL;DR

This paper models five-dimensional neutral rotating black rings within a Randall-Sundrum brane world framework, analyzing their bulk extension, geodesics, and singularity structure to understand their properties in higher dimensions.

## Contribution

It introduces a novel description of black rings as black strings in a six-dimensional brane world, linking bulk solutions with brane-localized black ring geometries.

## Key findings

- Bulk black string extension of black rings constructed
- Bulk geodesics match brane black ring geodesics
- Bulk singularity at the AdS horizon analyzed

## Abstract

Five dimensional neutral rotating black rings are described from a Randall-Sundrum brane world perspective in the bulk black string framework. To this end we consider a rotating black string extension of a five dimensional black ring into the bulk of a six dimensional Randall-Sundrum brane world with a single four brane. The bulk solution intercepts the four brane in a five dimensional black ring with the usual curvature singularity on the brane. The bulk geodesics restricted to the plane of rotation of the black ring are constructed and their projections on the four brane match with the usual black ring geodesics restricted to the same plane. The asymptotic nature of the bulk geodesics are elucidated with reference to a bulk singularity at the AdS horizon. We further discuss the description of a brane world black ring as a limit of a boosted bulk black 2 brane with periodic identification.