학술논문

The (In)stability of Bianchi IX Dynamics: Geodesic Deviation Equations in Finsler Spaces
Document Type
Working Paper
Source
In "Chaotic Universe" p.499 - World Scientific (2000)
Subject
General Relativity and Quantum Cosmology
Astrophysics
Mathematical Physics
Nonlinear Sciences - Chaotic Dynamics
Language
Abstract
We explore the dynamical stability of the minisuperspace Hamiltonian of the Bianchi IX cosmological models, giving a gauge-invariant and unapproximated description of the full continuous dynamics, achieved through a geometrical description of the equations of motion in the framework of the theory of Finsler Spaces. The numerical integrations of the geodesics and geodesic deviation equations show clearly the absence of any "traditional" signature of Chaos, while suggesting a chaotic scattering dynamics scenario.
Comment: 4 pages plus 3 ps figures included. Submitted to PRL