The Problem of Time and Quantum Black Holes

Details The Problem of Time and Quantum Black Holes The Problem of Time and Quantum Black Holes

1994-03-28

arxiv.org/abs/gr-qc/9403052v1

Phys.Rev.D50:5164-5176,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, COLO-HEP-333

Scientific paper

10.1103/PhysRevD.50.5164

We discuss the derivation of the so-called semi-classical equations for both mini-superspace and dilaton gravity. We find that there is no systematic derivation of a semi-classical theory in which quantum mechanics is formulated in a space-time that is a solution of Einstein's equation, with the expectation value of the matter stress tensor on the right-hand side. The issues involved are related to the well-known problems associated with the interpretation of the Wheeler-deWitt equation in quantum gravity, including the problem of time. We explore the de Broglie-Bohm interpretation of quantum mechanics (and field theory) as a way of spontaneously breaking general covariance, and thereby giving meaning to the equations that many authors have been using to analyze black hole evaporation. We comment on the implications for the ``information loss" problem.

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