Bianchi type I cosmology and the Euler-Calogero-Sutherland model
arXiv:gr-qc/0208037 · doi:10.1103/PhysRevD.66.123504
Abstract
The Bianchi type I cosmological model is brought into a form where the evolution of observables is governed by the unconstrained Hamiltonian that coincides with the Hamiltonian describing the relative motion of particles in the integrable three-body hyperbolic Euler-Calogero-Sutherland system.
13 pages, LaTeX, no figures. V2: Title and abstract slightly changed, typos corrected. V3: Minor changes, version to appear in Physical Review D