Effects of quantum fields on singularities and particle horizons in the early universe. IV. Initially empty universes
The behaviors of solutions to the semiclassical back-reaction equations are investigated for conformally invariant free quantum fields and a conformally coupled massive scalar field in spatially flat homogeneous and isotropic spacetimes with no classical radiation or matter. The quantum fields are all initially in their vacuum states. Only solutions beginning with the scale factor equal to zero are considered. The behaviors of solutions depend upon two regularization parameters ..cap alpha.. and ..beta.. and on the mass m of the scalar field. For ..beta..> or =3..cap alpha..>0, all solutions beginning with the scale factor equal to zero are without particle horizons, while for 3..cap alpha..>..beta..>0 a one-parameter family of solutions with no particle horizons exists. For ..beta..>0, ..cap alpha..<0 a one-parameter family of solutions with no singularities or particle horizons exists if m = 0 and may exist if mnot =0 as well. For mnot =0, ..cap alpha..>0 there is evidence that a one-parameter family of solutions which expand like classical matter-dominated Friedmann universes at late times compared to the Planck time exists. For ..cap alpha..<0 a two-parameter family of such solutions exists. In both cases particle production due to the massive scalar field fills up the spacetimes.
- Research Organization:
- 215 Williamson Hall, University of Florida, Gainesville, Florida 32611
- OSTI ID:
- 5936355
- Journal Information:
- Phys. Rev. D; (United States), Vol. 33:6
- Country of Publication:
- United States
- Language:
- English
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