General Relativity and Gravitation

, Volume 14, Issue 6, pp 523–530 | Cite as

General relativistic chaos and nonlinear dynamics

  • John D. Barrow
Research Articles

Abstract

We describe how new ideas in dynamical systems theory find application in the description of general relativistic systems. The concept of dynamical entropy is explained and the associated invariant evaluated for the Mixmaster cosmological model. The description of cosmological models as measure preserving dynamical systems leads to a number of interconnections with new ideas in non-linear dynamics. This may provide a new avenue of approach to ascertaining the nature of the general solution to Einstein's equations.

Keywords

Entropy Dynamical System General Solution Nonlinear Dynamic System Theory 

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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • John D. Barrow
    • 1
  1. 1.Department of PhysicsUniversity of CaliforniaBerkeleyUSA

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