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Prog. Theor. Phys. Supplement No.148 (2002) pp. 277-283

[ Full Text PDF : FREE ACCESS (110K) ]

Rigidity Theorems in the Braneworld Model

Hideo Kodama

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

(Received May 1, 2002)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTPS/148/277/
DOI : 10.1143/PTPS.148.277

[ Full Text PDF : FREE ACCESS (110K) ] Citation:

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