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The de Broglie-Bohm Interpretation of Evaporating Black-Holes

2004/04/16 by J. Acácio de Barros, J. Acacio de Barros, de Barros, J. Acacio +5
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0404073

Revtex version, 13 pages, no figures

arxiv created 2004/04/16 · openalex publication_date 2004/04/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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