Selcuk S. Bayin

A SINGULARITY-FREE COSMOLOGICAL MODEL WITH A CONFORMALLY COUPLED SCALAR FIELD

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

Comments on slow rotational perturbations of Robertson-Walker universes

47

Reply to I. Yavuz, C. Battal, and H. Baysal on slow rotational perturbations of Friedmann universes

km

Anisotropic fluid spheres in general relativity

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Anisotropic fluids and cosmology

~s

Symmetry changes in Friedmann cosmologies

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Fractional incompressible stars

~Mpc

A Singularity-Free Cosmological Model

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Is the Universe Flat

. 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.

Friedmann Thermodynamics and the Geometry of the Universe

A mistake in a recent paper by Singh on slow rotational perturbations of Robertson-Walker universes is pointed out.