General Relativity and Quantum Cosmology, abstract
gr-qc/9306035

From: Andrei Linde [view email]

Date: Tue, 29 Jun 1993 05:15:07 GMT (609kb)

Date (revised): Wed, 1 Feb 2006 20:20:32 GMT
Date (revised): Wed, 1 Feb 2006 21:03:31 GMT

From the Big Bang Theory to the Theory of a Stationary Universe

Authors: Andrei Linde, Dmitri Linde, Arthur Mezhlumian

Comments: No changes to the file, but original figures are included. They substantially help to understand this paper, as well as eternal inflation in general, and what is now called the "multiverse" and the "string theory landscape." High quality figures can be found at this http URL

Journal-ref: Phys.Rev. D49 (1994) 1783-1826

We consider chaotic inflation in the theories with the effective potentials phi^n and e^{\alpha\phi}. In such theories inflationary domains containing sufficiently large and homogeneous scalar field \phi permanently produce new inflationary domains of a similar type. We show that under certain conditions this process of the self-reproduction of the Universe can be described by a stationary distribution of probability, which means that the fraction of the physical volume of the Universe in a state with given properties (with given values of fields, with a given density of matter, etc.) does not depend on time, both at the stage of inflation and after it. This represents a strong deviation of inflationary cosmology from the standard Big Bang paradigm. We compare our approach with other approaches to quantum cosmology, and illustrate some of the general conclusions mentioned above with the results of a computer simulation of stochastic processes in the inflationary Universe.

http://arxiv.org/abs/gr-qc/9306035