C R Stephens et al 1994 Class. Quantum Grav. 11 621 doi:10.1088/0264-9381/11/3/014
C R Stephens, G 't Hooft and B F Whiting
Show affiliationsAn approach to black hole quantization is proposed wherein it is assumed that quantum coherence is preserved. After giving our motivations for such a quantization procedure we formulate the background field approximation, in which particles are divided into `hard' particles and `soft' particles. The background spacetime metric depends both on the in-states and on the out-states. A consequence of our approach is that four-geometries describing gravitational collapse will show the same topological structure as flat Minkowski space. We present some model calculations and extensive discussions. In particular, we show, in the context of a toy model, that the S-matrix describing soft particles in the hard particle background of a collapsing star is unitary; nevertheless, part of the spectrum of particles is shown to be approximately thermal. We also conclude that there is an interesting topological (and signature) constraint on manifolds underlying conventional functional integrals.
Issue 3 (March 1994)
Received 5 October 1993, in final form 29 November 1993
C R Stephens et al 1994 Class. Quantum Grav. 11 621
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