Speaker
Prof.
Alexander Sorin
(Joint Institute for Nuclear Research (RU))
Description
For an isotropic cosmological model with a spatial curvature supported by a self-interacting scalar field minimally coupled to gravity, we construct and analyze a special integrable potential which approximates the potential of the Starobinsky R+R^2 inflationary model in the Einstein frame, and derive the general analytic solution of the corresponding Einstein–Friedmann equations. We demonstrate that there exists a three–dimensional domain in the space of three model parameters describing the general solution for which the model possesses both inflationary stages and bounces and has no singularities.
Primary authors
Prof.
Alexander Sorin
(Joint Institute for Nuclear Research (RU))
Prof.
Alexei Starobinsky
(L. D. Landau Institute for Theoretical Physics, Moscow)