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General Relativity and Quantum Cosmology, gr-qc
Abstract:
Using the recent thermodynamical study of isolated horizons by Ghosh and
Perez, we provide a statistical mechanical analysis of isolated horizons near
equilibrium in the grand canonical ensemble. By matching the description of the
dynamical phase in terms of weakly dynamical horizons with this local
statistical framework, we introduce a notion of temperature in terms of the
local surface gravity. This provides further support to the recovering of the
semiclassical area law just by means of thermodynamical considerations.
Moreover, it allows us to study the radiation process generated by the LQG
dynamics near the horizon, providing a quantum gravity description of the
horizon evaporation. For large black holes, the spectrum we derive presents a
discrete structure which could be potentially observable and might be preserved
even after the inclusion of all the relevant transition lines.