Black hole uniqueness theorems in higher dimensional spacetimes
General Relativity and Quantum Cosmology
2015-06-05 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We review uniqueness theorems as well as other general results about higher dimensional black hole spacetimes. This includes in particular theorems about the topology of higher dimensional spacetimes, theorems about their symmetries (rigidity theorem), and the classification of supersymmetric black holes. We outline the basic ideas underlying the proofs of these statements, and we also indicate ways to generalize some of these results to more general contexts, such as more complicated theories.
Cite
@article{arxiv.1206.1164,
title = {Black hole uniqueness theorems in higher dimensional spacetimes},
author = {Stefan Hollands and Akihiro Ishibashi},
journal= {arXiv preprint arXiv:1206.1164},
year = {2015}
}
Comments
Extended version of "Topical Review" article commissioned by Class. Quant. Grav., 66 pages, several figures, Latex. v2: Added section on near horizon geometries, edited/added references