Journal of Statistical Physics

, Volume 38, Issue 1–2, pp 97–114 | Cite as

On the stochasticity in relativistic cosmology

  • I. M. Khalatnikov
  • E. M. Lifshitz
  • K. M. Khanin
  • L. N. Shchur
  • Ya. G. Sinai
Articles

Abstract

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.

Key words

Stochastization cosmological models singularity 

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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • I. M. Khalatnikov
    • 1
  • E. M. Lifshitz
    • 2
  • K. M. Khanin
    • 1
  • L. N. Shchur
    • 1
  • Ya. G. Sinai
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsAcademy of Science of the USSRMoscow
  2. 2.Institute for Physical ProblemsAcademy of Sciences of the USSRMoscow

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