Chaos in the Mixmaster Universe
- 10 January 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (2), 134-137
- https://doi.org/10.1103/physrevlett.50.134
Abstract
A four-dimensional system of nonlinear difference equations describing the evolution of the general relativistic "mixmaster" cosmological model is studied. The evolution splits into two parts: one given by a (chaotic) generalized Baker's transformation and the other by a (systematic) change of scales. The chaotic degrees of freedom are studied in detail: Their evolution may be described by a two-sided shift and the invariant measure for these variables is found. Strong ergodic properties (mixing, nonzero entropy) are deduced.Keywords
This publication has 3 references indexed in Scilit:
- Chaos in the Einstein EquationsPhysical Review Letters, 1981
- Oscillatory approach to the singular point in relativistic cosmologyUspekhi Fizicheskih Nauk, 1970
- Mixmaster UniversePhysical Review Letters, 1969