The temperature and entropy of CFT on time-dependent backgrounds

Understand

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.