The de Broglie-Bohm Interpretation of Evaporating Black-Holes

TL;DR

This paper applies the de Broglie-Bohm interpretation to quantum black holes, revealing quantum trajectories where black holes can either grow or evaporate, providing a causal understanding of black-hole evaporation.

Contribution

It introduces a novel application of the de Broglie-Bohm interpretation to black-hole physics, demonstrating quantum trajectories that include evaporation phenomena.

Findings

Quantum trajectories show black-hole mass can increase or decrease.

De Broglie-Bohm interpretation provides a causal picture of black-hole evaporation.

Evaporating black-hole trajectories are purely quantum mechanical phenomena.

Abstract

In this work we apply the de Broglie-Bohm interpretation of quantum mechanics to the quantized spherically symmetric black-hole coupled to a massless scalar field. The wave-functional used was first obtained by Tomimatsu using the standard ADM quantization and a gauge that places the observer close to the black-hole horizon. Using the causal interpretation, we compute quantum trajectories determined by the initial conditions. We show that the quantum trajectories for the black-hole mass can either increase or decrease with time. The quantum trajectories that show increasing mass represent the usual black-hole behavior of continuous energy absorption. The mass-decreasing quantum trajectories are a purely quantum mechanical phenomena. They can be physically interpreted as describing a black-hole that evaporates.