1111.2684 (Shunichiro Kinoshita et al.)

Hawking temperature for near-equilibrium black holes    [PDF]

Shunichiro Kinoshita, Norihiro Tanahashi

We discuss the Hawking temperature of near-equilibrium black holes using a
semiclassical analysis. We introduce a useful expansion method for slowly
evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle
point approximation. For a spacetime whose evolution is sufficiently slow, such
as a black hole with slowly changing mass, we find that the temperature is
determined by the surface gravity of the past horizon. As an example of
applications of these results, we study the Hawking temperature of black holes
with null shell accretion in asymptotically flat space and the AdS-Vaidya
spacetime. We discuss implications of our results in the context of the AdS/CFT
correspondence.

View original: http://arxiv.org/abs/1111.2684