Chaos in the long-term behavior of some Bianchi-type VIII models

DOI10.1007/BF01119812zbMath0603.53043OpenAlexW2093570326MaRDI QIDQ1082624

Paul Halpern

Publication date: 1987

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01119812

zbMATH Keywords

electromagnetic fieldstress-energy tensorsvacuum model

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (8)

A numerical analysis of chaotic behaviour in Bianchi IX models ⋮ CLASSICAL AND QUANTUM FEATURES OF THE MIXMASTER SINGULARITY ⋮ Properties of a model Einstein equation ⋮ Numerical approaches to spacetime singularities ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Numerical approaches to spacetime singularities ⋮ The local instability of mixmaster dynamical systems ⋮ Chaos and time coordinate.

Cites Work

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• Stability of certain spatially homogeneous cosmological models
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Quantitative universality for a class of nonlinear transformations
• Mixmaster Universe

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