Brane bulk interaction and holographic principle

Myung, Yun Soo; Kim, Jin Young

doi:10.1088/0264-9381/20/11/104

Brane bulk interaction and holographic principle

Yun Soo Myung
(
- Inje U.
)
,
Jin Young Kim
(
- Gunsan Natl. U. and
- APCTP, Pohang
)

Apr, 2003

9 pages

Published in:

Class.Quant.Grav. 20 (2003) L169

e-Print:

hep-th/0304033 [hep-th]

DOI:

10.1088/0264-9381/20/11/104

Report number:

INJE-TP-03-04

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Abstract:

We introduce the brane-bulk interaction to discuss a limitation of the cosmological Cardy-Verlinde formula which is useful for the holographic description of brane cosmology. In the presence of the brane-bulk interaction, we cannot find the entropy representation of the first Friedmann equation (the cosmological Cardy-Verlinde formula). In the absence of the interaction, the cosmological Cardy-Verlinde formula is established even for the time-dependent charged AdS background. Hence, if there exists a dynamic exchange of energy between the brane and the bulk (that is, if

\tilde T^t~_y \not=0

), we cannot achieve the cosmological holographic principle on the brane.

membrane model
interaction
holography
field equations: solution
cosmological model
entropy

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