On the stochasticity in relativistic cosmology

Details On the stochasticity in relativistic cosmology On the stochasticity in relativistic cosmology

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jsp....38...97k&link_type=abstract

Journal of Statistical Physics, Volume 38, Issue 1-2, pp. 97-114

Mathematics

Logic

61

Stochastization, Cosmological Models, Singularity

Scientific paper

It was shown earlier by I. M. Lifshitz and two of us that the evolution of the relativistic cosmological models towards the singularity undergoes spontaneous stochastization.(1) In the present paper it is shown that the statistical parameters of this evolution can be calculated in an exact manner. From the point of view of the general ergodic theory we deal here with a specific mode of stochastization of a deterministic dynamical system with a five-dimensional phase space. The knowledge of the source of stochasticity makes it possible to develop a quantitative statistical theory with appreciable completeness.

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