Freezing of the Affine Gravity and Singularity Free Cosmological Models

Abstract

A modified version of the Einstein theory of gravity is proposed in which the constant G is dynamical, that is dependent on the energy stress tensor. This permits one to obtain a model in which the Planck's energy density is unbounded, meaning that gravity never reaches the condition ρ>ρ P . This permits one to separate the affine description from the quantum one, which has recently been observed not to be completely compatible. We describe moreover how this can bring us to violate the strong energy condition so as to avoid the constraints of singularity theorems.