de Broglie-Bohm interpretation for wave function of Reissner-Nordstrom-de Sitter black hole

TL;DR

This paper applies the de Broglie-Bohm interpretation to the quantum wave function of a Reissner-Nordstrom-de Sitter black hole, providing exact solutions and analyzing quantum fluctuations near horizons without wave function collapse.

Contribution

It presents an exact solution to the Wheeler-DeWitt equation for RNdS black holes and explores the de Broglie-Bohm interpretation in this context, offering new insights into quantum black hole behavior.

Findings

Derived boundary conditions matching classical black holes

Quantified quantum fluctuations near horizons

Provided a trajectory-based quantum interpretation

Abstract

We study the canonical quantum theory of the Reissner-Nordstrom-de Sitter black hole(RNdS). We obtain an exact general solution of the Wheeler-DeWitt equation for the spherically symmetric geometry with electro-magnetic field. We investigate the wave function form a viewpoint of the de Broglie-Bohm interpretation. The de Broglie-Bohm interpretation introduces a rigid trajectory on the minisuperspace without assuming an outside observer or causing collapse of the wave function. In our analysis, we obtain the boundary condition for the wave function which corresponds to the classical RNdS black hole and describe the quantum fluctuations near the horizons quantitatively.