Topological censorship for Kaluza-Klein space-times

Understand

The standard topological censorship theorems require asymptotic hypotheses which are too restrictive for several situations of interest.

• In this paper we prove a version of topological censorship under significantly weaker conditions, compatible e.g.
• with solutions with Kaluza-Klein asymptotic behavior.
• In particular we prove simple connectedness of the quotient of the domain of outer communications by the group of symmetries for models which are asymptotically flat, or asymptotically anti-de Sitter, in a Kaluza-Klein sense.