A Singularityfree Cosmological Model with a Conformally Coupled Scalar Field
Abstract
We explore the possibility of describing our universe with a singularityfree, 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 radiationdominated 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.
 Publication:

The Astrophysical Journal
 Pub Date:
 June 1994
 DOI:
 10.1086/174256
 arXiv:
 arXiv:astroph/9402033
 Bibcode:
 1994ApJ...428..439B
 Keywords:

 Astronomical Models;
 Computational Astrophysics;
 Cosmology;
 Formations;
 Universe;
 Equations Of Motion;
 Homogeneity;
 Isotropic Media;
 Relativity;
 Singularity (Mathematics);
 Astronomy;
 COSMOLOGY: THEORY;
 COSMOLOGY: EARLY UNIVERSE;
 Astrophysics
 EPrint:
 19 pages, figures and tables available from the authors