Black holes submerged in Anti-de Sitter space

TL;DR

This paper investigates the causal structures resulting from isometric group actions on Anti-de Sitter spaces, revealing diverse black hole configurations in AdS$_3$ and AdS$_5$ with novel geometric features.

Contribution

It provides a detailed analysis of the orbit space causal structures in AdS spaces, discovering new black hole types and configurations induced by isometry submersions.

Findings

Black hole structures in AdS$_3$ with varied geometries

A static four-dimensional black hole in AdS$_5$

A spacetime with a two-dimensional black hole submanifold

Abstract

Suppose a one-dimensional isometry group acts on a space, we can consider a submergion induced by the isometry, namely we obtain an orbit space by identification of points on the orbit of the group action. We study the causal structure of the orbit space for Anti-de Sitter space (AdS) explicitely. In the case of AdS$_3$, we found a variety of black hole structure, and in the case of AdS$_5$, we found a static four-dimensional black hole, and a spacetime which has two-dimensional black hole as a submanifold.