General relativistic chaos and nonlinear dynamics
Barrow, J D [California Univ., Berkeley (USA). Dept. of Physics]
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GENERAL RELATIVITY THEORY; RANDOMNESS; COSMOLOGICAL MODELS; EINSTEIN FIELD EQUATIONS; ENTROPY; INVARIANCE PRINCIPLES; MECHANICS; NONLINEAR PROBLEMS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation; 640106 - Astrophysics & Cosmology- Cosmology
How new ideas in dynamical systems theory find application in the description of general relativistic systems is described. 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.
United Kingdom
1982-06-01
English
Journal Article
Journal Name: Gen. Relativ. Gravitation; (United Kingdom); Journal Volume: 14:6
Medium: X; Size: Pages: 523-530
https://doi.org/10.1007/BF00756214
Journal ID: CODEN: GRGVA
AIX-14-729669; EDB-83-062834
2010-05-17
6362822