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Maximal analytic extensions of the Emparan-Reall black ring
Journal article   Open access   Peer reviewed

Maximal analytic extensions of the Emparan-Reall black ring

Piotr T. Chrusciel and Julien Cortier
Journal of Differential Geometry, Vol.85(3), pp.425-459
07/2010

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.
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