Maximal analytic extensions of the Emparan-Reall black ring

Understand

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.