Mathematics
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978pazh....4..155s&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 4, Apr. 1978, p. 155-159.) Soviet Astronomy Letters, vol. 4, Mar.-Apr. 1978, p. 82-84.
Mathematics
26
Astronomical Models, Cosmology, Equations Of State, Singularity (Mathematics), Flux Density, Gravitational Collapse, Homogeneity, Isotropy, Mathematical Models, Quantum Mechanics, Relativity, Scalers, Spatial Distribution
Scientific paper
The Parker-Fulling (1973) mechanism for avoiding the initial singularity in homogeneous and isotropic cosmological models for a matter-filled universe is considered. According to this mechanism, the probability of having a nonsingular solution, although finite, is exceedingly low for any plausible model parameters if a homogeneous massive scalar field makes the main contribution to the energy density of the matter filling the universe. It is shown that the probability of avoiding a singularity in a homogeneous and isotropic model with the parameters of the real universe is about 1 in 10 to the 42nd. The physical reality of the postulated scalar field is questioned, and it is concluded that there are still no grounds for expecting that the collapse of a homogeneous and isotropic model can be replaced by expansion before spacetime curvature attains the Planck value and quantum gravitational effects become important.
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