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General relativistic chaos and nonlinear dynamics

Journal Article:

Abstract

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.
Authors:
Barrow, J D [1] 
  1. California Univ., Berkeley (USA). Dept. of Physics
Publication Date:
Jun 01, 1982
Product Type:
Journal Article
Reference Number:
AIX-14-729669; EDB-83-062834
Resource Relation:
Journal Name: Gen. Relativ. Gravitation; (United Kingdom); Journal Volume: 14:6
Subject:
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
OSTI ID:
6362822
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: GRGVA
Submitting Site:
HEDB
Size:
Pages: 523-530
Announcement Date:

Journal Article:

Citation Formats

Barrow, J D. General relativistic chaos and nonlinear dynamics. United Kingdom: N. p., 1982. Web. doi:10.1007/BF00756214.
Barrow, J D. General relativistic chaos and nonlinear dynamics. United Kingdom. doi:10.1007/BF00756214.
Barrow, J D. 1982. "General relativistic chaos and nonlinear dynamics." United Kingdom. doi:10.1007/BF00756214. https://www.osti.gov/servlets/purl/10.1007/BF00756214.
@misc{etde_6362822,
title = {General relativistic chaos and nonlinear dynamics}
author = {Barrow, J D}
abstractNote = {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.}
doi = {10.1007/BF00756214}
journal = {Gen. Relativ. Gravitation; (United Kingdom)}
volume = {14:6}
journal type = {AC}
place = {United Kingdom}
year = {1982}
month = {Jun}
}