Topological censorship for Kaluza-Klein space-times

Piotr T. Chruściel, Gregory J Galloway, Didier Solis

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)893-912
Number of pages20
JournalAnnales Henri Poincare
Volume10
Issue number5
DOIs
StatePublished - 2009

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uniqueness theorem
quotients
Uniqueness Theorem
Connectedness
Twist
Quotient
theorems
Asymptotic Behavior
Space-time
communication
Symmetry
symmetry
Theorem
Model
Standards
Communication

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Topological censorship for Kaluza-Klein space-times. / Chruściel, Piotr T.; Galloway, Gregory J; Solis, Didier.

In: Annales Henri Poincare, Vol. 10, No. 5, 2009, p. 893-912.

Research output: Contribution to journalArticle

Chruściel, Piotr T. ; Galloway, Gregory J ; Solis, Didier. / Topological censorship for Kaluza-Klein space-times. In: Annales Henri Poincare. 2009 ; Vol. 10, No. 5. pp. 893-912.
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