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Breakdown of the semiclassical approximation at the black hole horizon
1995
Physical Review D, Particles and fields
The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. The effect of small quantum fluctuations of the mass of the black hole due to the quantum nature of the infalling matter is taken into account. It is then shown that the usual approximation of treating the gravitational field as a classical background on which matter is quantized, breaks down near the black hole horizon. Specifically, on any hypersurface that captures both
doi:10.1103/physrevd.51.1764
pmid:10018643
fatcat:yj7ep5p4krdk5grtglczkqzpfm