The Anti-de Sitter Gott Universe: A Rotating BTZ Wormhole

TL;DR

This paper generalizes the creation of 2+1D black holes in anti-de Sitter space to include non-zero impact parameters, resulting in a rotating BTZ wormhole with a causal structure inferred from the boundary.

Contribution

It introduces a new construction of a rotating BTZ wormhole from colliding particles with impact parameter, linking Gott universe configurations to black hole solutions in AdS space.

Findings

The spacetime contains closed timelike curves.

The solution can be interpreted as a rotating black hole.

The causal structure is deducible from the conformal boundary.

Abstract

Recently it has been shown that a 2+1 dimensional black hole can be created by a collapse of two colliding massless particles in otherwise empty anti-de Sitter space. Here we generalize this construction to the case of a non-zero impact parameter. The resulting spacetime, which may be regarded as a Gott universe in anti-de Sitter background, contains closed timelike curves. By treating these as singular we are able to interpret our solution as a rotating black hole, hence providing a link between the Gott universe and the BTZ black hole. When analyzing the spacetime we see how the full causal structure of the interior can be almost completely inferred just from considerations of the conformal boundary.