Towards the Theory of Stationary Universe.

This talk presents some progress achieved in collaboration with A.Linde and D.Linde towards understanding the true nature of the global spatial structure of the Universe as well as the most general stationary characteristics of its timedependent state with eternally growing total volume. In our opinion, the simplest and, simultaneously, the most general version of inflationary cosmology is the chaotic inflation scenario. It can be realized in all models were the other versions of inflationary theory can be realized. Several years ago it was realized that inflation in these theories has a very interesting property which will be discussed in this talk. If the Universe contains at least one inflationary domain of a size of horizon (h-region) with a sufficiently large and homogeneous scalar field φ, then this domain will permanently produce new h-regions of a similar type. During this process the total physical volume of the inflationary Universe (which is proportional to the total number of h-regions) will grow indefinitely. Fortunately, some kind of stationarity may exist in many models of inflationary Universe due to the process of the Universe self-reproduction. The properties of inflationary domains Talk, presented at the TEXAS/PASCOS conference, Berkeley, December 1992. On leave from: Landau Institute for Theoretical Physics, Moscow. E-mail: [email protected]