Chronology protection in stationary 3D spacetimes
Abstract
We address chronology protection in stationary, rotationally symmetric spacetimes in 2+1 dimensional gravity, focusing on the case of negative cosmological constant. We show that, if such spacetimes contain closed timelike curves, they belong to one of the following two classes: (i) bad asymptotics: the boundary itself contains closed timelike curves, or (ii) unphysical stress tensor in the bulk: the matter stress tensor violates the null energy condition. We illustrate these properties in a class of examples involving rotating dust in anti-de Sitter space and comment on the use of the AdS/CFT correspondence to study chronology protection.
Keywords
Cite
@article{arxiv.1111.0161,
title = {Chronology protection in stationary 3D spacetimes},
author = {Joris Raeymaekers},
journal= {arXiv preprint arXiv:1111.0161},
year = {2015}
}
Comments
9 pages; to appear in the proceedings of the conference "Quantum Theory and Symmetries 7", Prague, August 7-13, 2011