Connecting the Non-Singular Origin of the Universe, the Vacuum Structure and the Cosmological Constant Problem
Abstract
We consider a non singular origin for the Universe starting from an Einstein static Universe in the framework of a theory which uses two volume elements √ { - g} d^4 x and Φd4x, where Φ is a metric independent density, also curvature, curvature square terms, first order formalism and for scale invariance a dilaton field ϕ are considered in the action. In the Einstein frame we also add a cosmological term that parametrizes the zero point fluctuations. The resulting effective potential for the dilaton contains two flat regions, for ϕ → ∞ relevant for the non singular origin of the Universe and ϕ → -∞, describing our present Universe. Surprisingly, avoidance of singularities and stability as ϕ → ∞ imply a positive but small vacuum energy as ϕ → -∞. Zero vacuum energy density for the present universe is the "threshold" for universe creation...
- Publication:
-
Thirteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
- Pub Date:
- January 2015
- DOI:
- 10.1142/9789814623995_0238
- Bibcode:
- 2015mgm..conf.1608G