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arXiv · hep-th/0010183

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

Ioannis Giannakis·Hai-cang Ren
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Abstract

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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Ioannis Giannakis, Hai-cang Ren. 2000-11-26. Possible Extensions of the 4-d Schwarzschild Horizon in the Brane World. https://doi.org/10.1103/physrevd.63.125017

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