From Reissner-Nordstr\"om quantum states to charged black holes mass evaporation

TL;DR

This paper models quantum Reissner-Nordström black holes interacting with scalar fields by solving the Wheeler-DeWitt equation near the horizon, focusing on how Hawking radiation influences mass and charge evolution.

Contribution

It introduces a quantum description of charged black holes using the Wheeler-DeWitt equation and analyzes the impact of Hawking radiation on their mass and charge dynamics.

Findings

Wave-function $\Psi_{RN}[M, Q]$ derived for RN black holes

Hawking radiation affects mass-charge evolution

Quantum effects modeled near the apparent horizon

Abstract

In this report we describe quantum Reissner-Nordstr\"om (RN) black-holes interacting with a complex scalar field. Our analysis is characterized by solving a Wheeler-DeWitt equation in the proximity of an apparent horizon of the RN space-time. Subsequently, we obtain a wave-function $\Psi_{RN}[M, Q]$ representing the RN black-hole. A special emphasis is given to the evolution of the mass-charge rate affected by Hawking radiation. More details can be found in gr-qc/9709080.