Fine Theoretical Physics Institute Seminar

In the first part of the talk I will describe the large scale behavior of general cosmological solutions under a priori bounds of the space time curvature and show how, at large scales, these universes evolve toward "geometrized ones". In the second part I will concentrate on a more accurate and predictive description of the evolution, paying quantitative attention to the gravitational and material energy an their contributions in the universe deceleration. I will do so by studying a Friedman-Lemaitre equation for the volume-averaged cosmological parameters. These results in particular extend the large scale and long time behavior of the standard compact Friedman-Lemaitre-Robertson-Walker models to general non-homogeneous and non-isotropic cosmologies.