Geometrized instantons and the creation of the universe

Dec 28, 1992
73 pages
Published in:
  • Int.J.Mod.Phys.D 1 (1992) 641-677
Report number:
  • CBPF-NF-049-91

Citations per year

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Abstract: (WSP)
A nonsingular cosmological scenario is presented in which the currently observed Riemannian configuration of spacetime originates from a primordial Weylian “stiff matter” phase driven by a geometrized inflaton-like field. In the particular case of a Friedman-Robertson-Walker line element, it is shown that an unstable original Minkowski vacuum starts to collapse adiabatically at a remote past and bounces when a minimum radius is attained. Throughout the collapsing stage, this matter-free Universe is accelerated (or “inflationary”). As in models of spontaneous quantum creation, the bouncing phase can be shown to correspond to the propagation of a Weyl instanton in an Euclideanized, classically forbidden region. In the course of the bouncing period, concurrent to the maximal deviation of the Riemannian configuration, a geometry-driven amplification mechanism operates causing the exponential increase of entropy and matter fluctuations. Once the environment temperature is always bounded, this nonadiabatical pr...
  • cosmological model
  • field equations: instanton
  • space-time: Weyl
  • geometry
  • matter: production
  • production: matter
  • entropy: production
  • production: entropy
  • thermodynamics
  • baryon: asymmetry
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