Symmetry Properties of Black Holes in Higher Dimensional General Relativity(VIII Asia-Pacific International Conference on Gravitation and Astrophysics (ICGA8))

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概要

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• We discuss symmetry properties of black holes in general relativity-known as black hole rigidity-of which basic assertion is that the event horizon of an asymptotically flat, stationary black hole with certain matter fields must be a Killing horizon and is rephrased (combined together with staticity results) that such a black hole must be either static, or axisymmetric. A precise formulation of the rigidity theorem for black holes with non-degenerate event horizon in arbitrary spacetime dimensions has been recently made by Hollands, Wald and the present author. [Hollands, S., Ishibashi, A. and Wald, R. M., Commun. Math. Phys. 271 (2007), 699.] In our formulation, no assumptions concerning the topology of cross-sections of event horizon (other than the compactness) are made. Therefore, different from Hawking's original proof given in 4-dimensions, our proof applies also to non-spherical black holes, which are known to occur in higher dimensions but not in 4-dimensions.

• 理論物理学刊行会の論文
• 2008-07-09

著者

• Ishibashi Akihiro

  Theory Division Institute Of Particle And Nuclear Studies

• Ishibashi Akihiro

  Theory Center Institute Of Particle And Nuclear Studies High Energy Accelerator Research Organizatio

• ISHIBASHI Akihiro

  Theory Division, Institute of Particle and Nuclear Studies

関連論文

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• On the Stability of Naked Singularities with Negative Mass(Astrophysics and Relativity)
• Symmetry Properties of Black Holes in Higher Dimensional General Relativity(VIII Asia-Pacific International Conference on Gravitation and Astrophysics (ICGA8))
• Perturbations and Stability of Static Black Holes in Higher Dimensions(Chapter 6,Higher Dimensional Black Holes)
• Topology and Uniqueness of Higher Dimensional Black Holes(Chapter 3,Higher Dimensional Black Holes)

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