The temperature and entropy of CFT on time-dependent backgrounds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, major revision, several comments added, version to appear in JHEP

Scientific paper

10.1007/JHEP03(2010)040

We express the AdS-Schwarzschild black-hole configuration in coordinates such that the boundary metric is of the FLRW type. We review how this construction can be used in order to calculate the stress-energy tensor of the dual CFT on the FLRW background. We deduce the temperature and entropy of the CFT, which are related to the temperature and entropy of the black hole. We find that the entropy is proportional to the area of an apparent horizon, different from the black-hole event horizon. For a dS boundary we reproduce correctly the intrinsic temperature of dS space.

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