Bianchi type I cosmology and the Euler-Calogero-Sutherland model
General Relativity and Quantum Cosmology
2009-11-07 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.gr-qc/0208037,
title = {Bianchi type I cosmology and the Euler-Calogero-Sutherland model},
author = {A. M. Khvedelidze and D. M. Mladenov},
journal= {arXiv preprint arXiv:gr-qc/0208037},
year = {2009}
}
Comments
13 pages, LaTeX, no figures. V2: Title and abstract slightly changed, typos corrected. V3: Minor changes, version to appear in Physical Review D