Rigidity Theorems in the Braneworld Model
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概要
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In the present paper, we give some theorems representing rigidity of a vacuum brane in static bulk spacetimes. As an application, we show that a static bulk spacetime with dimension D ≥ 4 and spatial symmetry IO(D-2), O(D-1) or O_+(D-2,1) does not allow a vacuum brane with a black hole on it. We also show that if a static bulk spacetime with dimension D > 4 satsifying the vacuum Einstein equations can be foliated by a continuous family of vacuum branes with asymptotically constant curvature, it is a black string solution.
- 理論物理学刊行会の論文
- 2003-03-28
著者
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小玉 英雄
Kek Tsukuba Jpn
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KODAMA Hideo
IPNS, KEK and the Graduate University of Advanced Studies
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Kodama Hideo
Yakawa Institute For Theoretical Physics Kyoto University
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KODAMA Hideo
Department of Physics, Osaka University : Department of Physics, Kyoto University
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KODAMA Hideo
Theory Center, Institute of Particles and Nuclear Studies, KEK
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KODAMA Hideo
Yakawa Institute for Theoretical Physics, Kyoto University
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KODAMA Hideo
Theory Center, Institute of Particle and Nuclear Studies, KEK:Department of Particles and Nuclear Physics, The Graduate University for Advanced Studies
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