Quantum evolution of near-extremal Reissner-Nordstrom black holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 24 pages, 4 ps and 3 eps figures; some typos corrected. Accepted for publication in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00661-1

We study the near-horizon AdS_2\timesS^2 geometry of evaporating near-extremal Reissner-Nordstrom black holes interacting with null matter. The non-local (boundary) terms t_{\pm}, coming from the effective theory corrected with the quantum Polyakov-Liouville action, are treated as dynamical variables. We describe analytically the evaporation process which turns out to be compatible with the third law of thermodynamics, i.e., an infinite amount of time is required for the black hole to decay to extremality. Finally we comment briefly on the implications of our results for the information loss problem.

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