Braneworld holography in Gauss-Bonnet gravity

Details Braneworld holography in Gauss-Bonnet gravity Braneworld holography in Gauss-Bonnet gravity

2003-04-29

arxiv.org/abs/hep-th/0304250v2

Class.Quant.Grav. 20 (2003) 4221-4238

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figures; references added, minor changes, version to appear in CQG

Scientific paper

10.1088/0264-9381/20/19/307

We investigate holography on an (n-1)-dimensional brane embedded in a background of AdS black holes, in n-dimensional Gauss-Bonnet gravity. We demonstrate that for a critical brane near the AdS boundary, the Friedmann equation corresponds to that of the standard cosmology driven by a CFT dual to the AdS bulk. We show that there is no holographic description for non-critical branes, or when the brane is further away from the AdS boundary. We then derive a Cardy-Verlinde formula for the dual CFT on the critical brane near the boundary. This gives us insight into the remarkable correspondence between Cardy-Verlinde formulae and Friedmann equations in Einstein gravity.

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