Possible Extensions of the 4-d Schwarzschild Horizon in the Brane World

Details Possible Extensions of the 4-d Schwarzschild Horizon in the Brane World Possible Extensions of the 4-d Schwarzschild Horizon in the Brane World

2000-10-20

arxiv.org/abs/hep-th/0010183v2

Phys.Rev. D63 (2001) 125017

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes, new references added, 10 pages, 1 figure, Plain Tex

Scientific paper

10.1103/PhysRevD.63.125017

We show that, in the absence of matter in the bulk, the Einstein equations and the Gauss-normal form of the metric place stringent restrictions on the form of the event horizon in a brane world. As a consequence, the off-brane extension of the standard 4-D Schwarzschild horizon in the Randall-Sundrum $AdS_5$ spacetime, as it is viewed from the brane can only be of a tubular shape, instead of a pancake shape. When it is viewed from the $AdS_5$ horizon, such a tubular horizon is absent.

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