The Problem of Time and Quantum Black Holes
arXiv:gr-qc/9403052 · doi:10.1103/PhysRevD.50.5164
Abstract
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.
30 pages, COLO-HEP-333
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Cited by in corpus (16)
- Decoherence of Black Holes by Hawking Radiation
- On Pilot Wave Quantum Cosmology
- Problem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity
- Breakdown of the semiclassical approximation at the black hole horizon
- Classical Spacetime from Quantum Gravity
- Polarization resolved angular patterns in nematic liquid crystal cells
- de Broglie-Bohm Interpretation for the Wave Function of Quantum Black Holes
- Quantum Gravity and Turning Points in the Semiclassical Approximation
- Validity of the Semiclassical Approximation and Back=reaction
- Classical and Quantum Solutions and the Problem of Time in Cosmology
- de Broglie-Bohm interpretation for wave function of Reissner-Nordstrom-de Sitter black hole
- Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time
- Exact Semiclassical Evolutions in Relativistic and Nonrelativistic Scalar Quantum Mechanics and Quantum Cosmology
- General Ether Theory
- Semiclassical corrections to the Einstein equation and Induced Matter Theory
- Lessons of Quantum 2D Dilaton Gravity