Maximal analytic extensions of the Emparan-Reall black ring
General Relativity and Quantum Cosmology
2013-12-11 v3 High Energy Physics - Theory
Differential Geometry
Abstract
We construct a Kruskal-Szekeres-type analytic extension of the Emparan-Reall black ring, and investigate its geometry. We prove that the extension is maximal, globally hyperbolic, and unique within a natural class of extensions. The key to those results is the proof that causal geodesics are either complete, or approach a singular boundary in finite affine time. Alternative maximal analytic extensions are also constructed.
Cite
@article{arxiv.0807.2309,
title = {Maximal analytic extensions of the Emparan-Reall black ring},
author = {Piotr T. Chruściel and Julien Cortier},
journal= {arXiv preprint arXiv:0807.2309},
year = {2013}
}
Comments
minor changes, typos corrected, version identical to the journal one