Quantum evolution of near-extremal Reissner-Nordstrom black holes

TL;DR

This paper analyzes the quantum evolution of near-extremal Reissner-Nordstrom black holes, demonstrating that their evaporation process aligns with thermodynamic laws and discussing implications for the information loss problem.

Contribution

It provides an analytical description of black hole evaporation incorporating quantum effects via the Polyakov-Liouville action, highlighting the compatibility with the third law of thermodynamics.

Findings

Evaporation takes infinite time to reach extremality.

Quantum corrections are incorporated through boundary terms.

Results have implications for the black hole information paradox.

Abstract

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.