Wave Function for the Reissner-Nordström Black-Hole

Abstract

We study the quantum behaviour of Reissner-Nordström (RN) black-holes interacting with a complex scalar field. A Maxwell field is also present. Our analysis is based on M. Pollock's method and 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 when its charge, $\mid Q\mid$, is small in comparison with its mass, $M$. We then compare quantum-mechanically the cases of $(i)$ $Q=0$ and $(ii)$ $M\ge \mid Q\mid \ne 0$. A special emphasis is given to the evolution of the mass-charge rate affected by Hawking radiation.

13 pages, LaTeX

Cited by in corpus (3)

• Indefinite oscillators and black-hole evaporation
• Why two makes it more attractive than just with one... or Bianchi class-A models and Reissner-Nordström Black Holes in Quantum N=2 Supergravity
• From Reissner-Nordström quantum states to charged black holes mass evaporation