Topological censorship for Kaluza-Klein space-times

Details Topological censorship for Kaluza-Klein space-times Topological censorship for Kaluza-Klein space-times

2008-08-24

arxiv.org/abs/0808.3233v2

Annales Henri Poincare 10:893-912,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

minor corrections

Scientific paper

10.1007/s00023-009-0005-z

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. This allows one, e.g., to define the twist potentials needed for the reduction of the field equations in uniqueness theorems. Finally, the methods used to prove the above are used to show that weakly trapped compact surfaces cannot be seen from Scri.

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