Geometric quantization and gravitational collapse

Details Geometric quantization and gravitational collapse Geometric quantization and gravitational collapse

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phrvd..22..235g&link_type=abstract

Physical Review D (Particles and Fields), Volume 22, Issue 2, 15 July 1980, pp.235-248

Mathematics

Logic

10

Scientific paper

The Kostant-Souriau method of geometric quantization is applied to homogeneous and isotropic cosmological models with positive intrinsic curvature and a massless Klein-Gordon scalar field. These models are studied because classically they collapse to a singularity. It is rigorously shown that the quantized models collapse as well (so that there is no "quantum bounce"). This work demonstrates the practical usefulness of geometric quantization for the study of physical systems.

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