Covariant Mixmaster Dynamics
Giovanni Imponente, Giovanni Montani
TL;DR
This paper analyzes the chaotic dynamics of the Mixmaster Universe using a Hamiltonian approach, demonstrating its covariant nature regardless of the chosen time variable, bridging dynamical systems and statistical mechanics perspectives.
Contribution
It provides a covariant Hamiltonian analysis of Mixmaster Universe chaos, emphasizing its independence from the time variable choice.
Findings
Chaotic behavior is covariant under different time variables
Hamiltonian formalism clarifies the nature of Mixmaster chaos
Bridges dynamical systems and statistical mechanics views
Abstract
We provide a Hamiltonian analysis of the Mixmaster Universe dynamics on the base of a standard Arnowitt-Deser-Misner Hamiltonian approach, showing the covariant nature of its chaotic behaviour with respect to the choice of any time variable, from the point of view either of the dynamical systems theory, either of the statistical mechanics one.
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Taxonomy
TopicsCosmology and Gravitation Theories · Quantum chaos and dynamical systems · Statistical Mechanics and Entropy