Structural stability and non-singular beginning of the universe

Abstract: Theory of gravity with a quadratic contribution of scalar curvature is investigated in terms of dynamical system approach. The simplest Friedmann-Robertson-Walker metric is used to formulate dynamics in Jordan frame as well as in conformally transformed Einstein frame. In both frames there are asymptotically stable de Sitter states for which the Hubble function naturally gives terms corresponding to non-substantial dark matter. Using invariant centre manifold I show that in the Einstein frame there is a zero measure set of initial conditions leading from the unstable to the stable de Sitter state. The Jordan frame and the Einstein frame formulation of the theory are physically nonequivalent.

astrophysicscondensed mattergeneral relativity and quantum cosmologyhigh energy physicsmathematical physicsclassical physicsgeneral physics

Audience: researchers in the topic

Theoretical physics seminar @ Tartu