Anti-de Sitter Quotients, Bubbles of Nothing, and Black Holes

TL;DR

This paper explores black holes with toroidal horizons in anti-de Sitter space, presenting new families of solutions including bubbles of nothing and analyzing their properties.

Contribution

It introduces two new one-parameter families of spacetimes containing quotient black holes with vanishing conserved charges.

Findings

Identified families of black hole solutions with toroidal horizons

Constructed bubbles of nothing via analytic continuation

All solutions have zero conserved charges

Abstract

In 3+1 dimensions there are anti-de quotients which are black holes with toroidal event horizons. By analytic continuation of the Schwarzschild-anti-de Sitter solution (and appropriate identifications) one finds two one parameter families of spacetimes that contain these quotient black holes. One of these families consists of B-metrics ("bubbles of nothing"), the other of black hole spacetimes. All of them have vanishing conserved charges.