Maximal analytic extensions of the Emparan-Reall black ring

Abstract

The Emparan-Reall black rings are a two-parameter family of black hole solutions of the vacuum Einstein's equation in dimension 4+1, the word "ring" refers to the event horizon, which has topology \U0001d4ae2 × \U0001d4ae1 × ℛ. We construct an analytic extension, whose global structure is similar to the Kruskal-Szekeres extension of the Schwarzschild space-time, and show that it is maximal, globally hyperbolic, and unique within a natural class of extensions.