Gott time machines in the Anti-de Sitter space

Abstract

In 1991 Gott presented a solution of Einstein's field equations in 2+1 dimensions with $\Lambda =0$ that contained closed timelike curves (CTC's). This solution was remarkable because at first it did not seem to be unphysical in any other respect. Later, however, it was shown that Gott's solution is tachyonic in a certain sense. Here the case $\Lambda <0$ is discussed. We show that it is possible to construct CTC's also in this case, in a way analogous to that used by Gott. We also show that this construction still is tachyonic. $\Lambda <0$ means that we are dealing with Anti-de Sitter space, and since the CTC-construction necessitates some understanding of its structure, a few pages are devoted to this subject.

11 pages

References in corpus (2)

• Energy-Momentum Restrictions on the Creation of Gott Time Machines
• Energy Theorem for 2+1 dimensional gravity

Cited by in corpus (8)

• Making Anti-de Sitter Black Holes
• Black Holes and Wormholes in 2+1 Dimensions
• Gott Time Machines, BTZ Black Hole Formation, and Choptuik Scaling
• 2+1-dimensional black holes with momentum and angular momentum
• An Eternal Time Machine in 2+1 Dimensional anti-de Sitter Space
• Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
• Horizons in 2+1-dimensional collapse of particles
• Integrability of the N-body problem in (2+1)-AdS gravity