Quantum effects in a homogeneous dust cloud collapse.

Details Quantum effects in a homogeneous dust cloud collapse. Quantum effects in a homogeneous dust cloud collapse.

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19.1033j&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 10, pp.1033-1042

Mathematics

Probability

4

General Relativity:Singularities, Quantum Gravity:Singularities

Scientific paper

The status of a classical space-time singularity, when quantum effects are taken into account, has remained a matter of intense interest ever since the epochmaking paper of DeWitt [1] on quantum gravity. We examine here the evolution of quantum fluctuations in the vicinity of the singularity arising out of the classical collapse of a homogeneous dust cloud. As opposed to the pathintegral method used to quantize the conformal degree of freedom (see, e.g., [3] or [4]), we use here the traditional operator approach to the quantum theory which is much more direct and appealing while achieving an additional generalization that the wave function of the system is assumed to have a completely general form. It is shown that the quantum uncertainty diverges in the limit of approach to the classically singular epoch and that nonsingular, nonclassical states can occur with finite probability.

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