Possible extensions of the 4D Schwarzschild horizon in the 5D brane world - art. no. 125017

Authors
Giannakis, I Ren, HC
Citation
I. Giannakis et Hc. Ren, Possible extensions of the 4D Schwarzschild horizon in the 5D brane world - art. no. 125017, PHYS REV D, 6312(12), 2001, pp. 5017
Citations number
16
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6312
Issue
12
Year of publication
2001
Database
ISI
SICI code
0556-2821(20010615)6312:12<5017:PEOT4S>2.0.ZU;2-B
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-bran e extension of the standard four-dimensional (4D) Schwarzschild horizon in the Randall-Sundrum AdS(5) spacetime, as it is viewed from the brane can on ly be of a tubular shape, instead of a pancake shape. When it is viewed fro m the AdS(5) horizon, such a tubular horizon is absent.