Holography in Einstein Gauss-Bonnet Gravity

Details Holography in Einstein Gauss-Bonnet Gravity Holography in Einstein Gauss-Bonnet Gravity

2004-07-12

arxiv.org/abs/hep-th/0407083v2

Prog.Theor.Phys.113:979-991,2005

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, references added

Scientific paper

10.1143/PTP.113.979

We investigate a holographic relation between Einstein Gauss-Bonnet gravity in $n$ dimensions and its dual field theory in ($n-1$) dimensions. We briefly review the AdS/CFT correspondence for the entropy in the $n$-dimensional Einstein gravity and consider its extension to the case of the $n$-dimensional Einstein Gauss-Bonnet gravity. We show that there is a holographic relation between entropies of an Einstein Gauss-Bonnet black hole in the bulk and the corresponding radiation on the brane in the high temperature limit. In particular, we find that the Hubble entropy evaluated when the brane crosses the horizon also coincides with the black hole entropy in the high temperature limit.

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