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Braneworld holography in Gauss-Bonnet gravity

James P. Gregory·Antonio Padilla
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Abstract

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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James P. Gregory, Antonio Padilla. 2003-08-05. Braneworld holography in Gauss-Bonnet gravity. https://doi.org/10.1088/0264-9381%2F20%2F19%2F307

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