Journal
ANNALES HENRI POINCARE
Volume 10, Issue 5, Pages 893-912Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00023-009-0005-z
Keywords
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Funding
- NSF [DMS-0708048]
- EPSRC [EP/E035027/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E035027/1] Funding Source: researchfish
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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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