Open AccessHolography in Einstein Gauss-Bonnet Gravity
Author(s) -
Sachiko Ogushi,
M. Sasaki
Publication year - 2005
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.113.979
Subject(s) - physics , gauss–bonnet gravity , einstein , mathematical physics , higher dimensional einstein gravity , horizon , gauss–bonnet theorem , holography , entropy (arrow of time) , brane , black hole (networking) , theoretical physics , quantum mechanics , general relativity , numerical relativity , computer network , routing protocol , introduction to the mathematics of general relativity , routing (electronic design automation) , astronomy , computer science , link state routing protocol
We investigate a holographic relation between Einstein Gauss-Bonnet gravityin $n$ dimensions and its dual field theory in ($n-1$) dimensions. We brieflyreview the AdS/CFT correspondence for the entropy in the $n$-dimensionalEinstein gravity and consider its extension to the case of the $n$-dimensionalEinstein Gauss-Bonnet gravity. We show that there is a holographic relationbetween entropies of an Einstein Gauss-Bonnet black hole in the bulk and thecorresponding radiation on the brane in the high temperature limit. Inparticular, we find that the Hubble entropy evaluated when the brane crossesthe horizon also coincides with the black hole entropy in the high temperaturelimit.Comment: 15 pages, LaTeX, references adde
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