Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-05-10
in Black Holes and Relativistic Stars, ed by R.M. Wald, University of Chicago Press, 1998.
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, ReVTeX, 8 figures, titles supplied for some references
Scientific paper
Quantum mechanics for matter fields moving in an evaporating black hole spacetime is formulated in fully four-dimensional form according to the principles of generalized quantum theory. The resulting quantum theory cannot be expressed in a 3+1 form in terms of a state evolving unitarily or by reduction through a foliating family of spacelike surfaces. That is because evaporating black hole geometries cannot be foliated by a non-singular family of spacelike surfaces. A four-dimensional notion of information is reviewed. Although complete information may not be available on every spacelike surface, information is not lost in a spacetime sense in an evaporating black hole spacetime. Rather complete information is distributed about the four-dimensional spacetime. Black hole evaporation is thus not in conflict with the principles of quantum mechanics when suitably generally stated. (Talk presented at Black Holes and Relativistic Stars: A Symposium in Honor of S. Chandrasekhar, Chicago, Dec 14-15,1996.)
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