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General relativistic chaos and nonlinear dynamics

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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.

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Author notes

  1. John D. Barrow

    Present address: Astronomy Centre, School of Mathematical Physics, University of Sussex, Falmer, BN1 9QH, Brighton, Sussex, UK

Authors and Affiliations

  1. Department of Physics, University of California, 94720, Berkeley, California, USA

    John D. Barrow

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  1. John D. Barrow
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Additional information

This essay received the third award from the Gravity Research Foundation for the year 1981-Ed.

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Barrow, J.D. General relativistic chaos and nonlinear dynamics. Gen Relat Gravit 14, 523–530 (1982). https://doi.org/10.1007/BF00756214

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