Quantum fluctuations near the classical space-time singularity

Details Quantum fluctuations near the classical space-time singularity Quantum fluctuations near the classical space-time singularity

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..10..883n&link_type=abstract

General Relativity and Gravitation, Volume 10, Issue 11, pp.883-896

Mathematics

Logic

12

Scientific paper

The method of path integration is used to study the effects of quantum fluctuations in the space-time geometry near the classical singularity of general relativity. It is shown that in certain special cases explicit Feynman propagators can be constructed which enable us to evaluate these fluctuationsquantitatively. The cases discussed are (i) the gravitational collapse of a uniform dust ball, (ii) the Friedmann cosmologies, (iii) the axisymmetric Bianchi type I cosmological model, and (iv) the general anisotropic Bianchi type I cosmological model. In all cases discussed here the quantum uncertainty grows to infinity as the classical space-time singularity is approached. In this wider regime of quantum gravitation nonsingular solutions can occur with finite probabilities.

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