Revisitation of chaos in Bianchi IX Universe and in generalized scalar--tensor cosmologies.

DOI10.1016/S0960-0779(02)00224-2zbMath1037.83032OpenAlexW2010179008MaRDI QIDQ1419286

Thierry Lehner, Laurent Di Menza

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00224-2

zbMATH Keywords

radiationHamiltonianLagrangianchaotic dynamical systemsgravity actionEinstein framechaos suppressionstiff matteranisotropic and homogeneous cosmologyBianchi IX and Bianchi I metricsBianchi IX Universechaos thresholdcosmic billiardEinstein equations for the mixmaster modelJordan-Brans-Dicke framemovable billiardnature of chaos in the mixmaster modelordinary matterpotential of curvature anisotropyscalar-tensor fieldstatic billiardtemporal singularityvacuum universe in general relativity

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items

Mixmaster universe in the \(z\) = 3 deformed Hořava-Lifshitz gravity ⋮ Bianchi type IX asymptotical behaviours with a massive scalar field: chaos strikes back

Cites Work

• A theorem on ergodicity of two-dimensional hyperbolic billiards
• Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob.
• The Bianchi IX (mixmaster) cosmological model is not integrable
• Statistical properties of two-dimensional hyperbolic billiards
• Dynamical Systems in Cosmology
• Quantum Cosmology. I
• Homoclinic points near elliptic fixed points
• The Bianchi IX attractor