A Spinning Anti-de Sitter Wormhole

TL;DR

This paper constructs a novel 2+1 dimensional spinning black hole in anti-de Sitter space with a toroidal topology, analyzing its geometric and topological properties and the implications of its boundary action.

Contribution

It introduces a new class of spinning black holes with toroidal topology in 2+1D anti-de Sitter space, using quotient constructions and boundary analysis.

Findings

The spacetime has a torus topology with a single asymptotic region.

The black hole's event horizon exhibits spin relative to infinity.

No inner horizons are present, and all observers reach a singularity.

Abstract

We construct a 2+1 dimensional spacetime of constant curvature whose spatial topology is that of a torus with one asymptotic region attached. It is also a black hole whose event horizon spins with respect to infinity. An observer entering the hole necessarily ends up at a "singularity"; there are no inner horizons. In the construction we take the quotient of 2+1 dimensional anti-de Sitter space by a discrete group Gamma. A key part of the analysis proceeds by studying the action of Gamma on the boundary of the spacetime.