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The de Broglie-Bohm Interpretation of Evaporating Black-Holes

J. Acacio de Barros·G. Oliveira-Neto·T. B. Vale
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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.

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J. Acacio de Barros, G. Oliveira-Neto, T. B. Vale. 2004-04-16. The de Broglie-Bohm Interpretation of Evaporating Black-Holes. https://arxiv.org/abs/gr-qc/0404073

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