Holography in Einstein Gauss-Bonnet Gravity

TL;DR

This paper explores the holographic relationship between Einstein Gauss-Bonnet gravity and its dual field theory, demonstrating entropy correspondence between bulk black holes and brane radiation in high temperature regimes.

Contribution

It extends the AdS/CFT correspondence to Einstein Gauss-Bonnet gravity, establishing entropy relations between bulk black holes and boundary radiation.

Findings

Holographic relation between Einstein Gauss-Bonnet black hole entropy and brane radiation.

Hubble entropy at horizon crossing matches black hole entropy at high temperature.

Extension of AdS/CFT correspondence to higher curvature gravity theories.

Abstract

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.