Possible extensions of the 4-D Schwarzschild horizon in the brane world - INSPIRE

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Possible extensions of the 4-D Schwarzschild horizon in the brane world

Ioannis Giannakis
(
- Rockefeller U.
)
,
Hai-cang Ren
(
- Rockefeller U. and
- Baruch Coll.
)

Oct, 2000

10 pages

Published in:

Phys.Rev.D 63 (2001) 125017

e-Print:

hep-th/0010183 [hep-th]

DOI:

10.1103/PhysRevD.63.125017

Report number:

RU00-09-B

View in:

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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.

horizon: Schwarzschild
membrane model
Randall-Sundrum model
Einstein equation
dimension: 5
dimension: 4

References(12)

Figures(0)

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