Further restrictions on the topology of stationary black holes in five dimensions

DOI10.1007/s00023-011-0079-2zbMath1215.83036arXiv1002.0490OpenAlexW3105027532MaRDI QIDQ532485

Jan Holland, Stefan Hollands, Akihiro Ishibashi

Publication date: 5 May 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0490

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Gravitational energy and conservation laws; groups of motions (83C40) Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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Cites Work

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• New horizons for black holes and branes
• Topological censorship for Kaluza-Klein space-times
• The topology of four-dimensional manifolds
• A generalization of Hawking's black hole topology theorem to higher dimensions
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Notes on Perelman's papers
• On the `Stationary implies axisymmetric' theorem for extremal black holes in higher dimensions
• Black holes in higher dimensional space-times
• A higher dimensional stationary rotating black hole must be axisymmetric
• A uniqueness theorem for stationary Kaluza-Klein black holes
• Seifert manifolds
• Topology Change of Black Holes
• A simple proof of the recent generalizations of Hawking's black hole topology theorem
• Symmetries of higher dimensional black holes
• A new uniqueness theorem for charged black holes
• Circle Actions on Simply Connected 4-Manifolds
• Classification of Circle Actions on 4-Manifolds
• Topological censorship
• The Geometries of 3-Manifolds
• Classification of the Actions of the Circle on 3-Manifolds
• Actions of the Torus on 4-Manifolds. I
• The Large Scale Structure of Space-Time
• General Relativity
• The AdS/CFT correspondence and topological censorship