On a nonsingular isotropic cosmological model.
Abstract
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.
- Publication:
-
Pisma v Astronomicheskii Zhurnal
- Pub Date:
- April 1978
- Bibcode:
- 1978PAZh....4..155S
- Keywords:
-
- Astronomical Models;
- Cosmology;
- Equations Of State;
- Singularity (Mathematics);
- Flux Density;
- Gravitational Collapse;
- Homogeneity;
- Isotropy;
- Mathematical Models;
- Quantum Mechanics;
- Relativity;
- Scalers;
- Spatial Distribution;
- Astrophysics;
- Cosmological Models