A Singularity-Free Cosmological Model with a Conformally Coupled Scalar Field

Details A Singularity-Free Cosmological Model with a Conformally Coupled Scalar Field A Singularity-Free Cosmological Model with a Conformally Coupled Scalar Field

1994-02-13

arxiv.org/abs/astro-ph/9402033v1

Astrophys.J.428:439-446,1994

Astronomy and Astrophysics

Astrophysics

19 pages, figures and tables available from the authors

Scientific paper

10.1086/174256

We explore the possibility of describing our universe with a singularity--free, closed, spatially homogeneous and isotropic cosmological model, using only general relativity and a suitable equation of state which produces an inflationary era. A phase transition to a radiation--dominated era occurs as a consequence of boundary conditions expressing the assumption that the temperature cannot exceed the Planck value. We find that over a broad range of initial conditions, the predicted value of the Hubble parameter is approximately $47$ km$\cdot$~s$^{-1}\cdot$~Mpc$^{-1}$. Inflation is driven by a scalar field, which must be conformally coupled to the curvature if the Einstein equivalence principle has to be satisfied. The form of the scalar field potential is derived, instead of being assumed a priori.

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