Non-integrability of the mixmaster universe
Anno: 1995
Autori: Christiansen F., Rugh HH., Rugh SE.
Affiliazione autori: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Inst. Hautes Etud. Sci., 35 Route de Chartres, Bures-sur Yvette, France;
Univ. Copenhagen, Niels Bohr Inst., Blegdamsvej 17, Copenhagen, Denmark)
Abstract: We comment on an analysis by Contopoulos et al which demonstrates that the governing six-dimensional Einstein equations for the mixmaster spacetime metric pass the ARS or reduced Painleve test. We note that this is the case irrespective of the value, I, of the generating Hamiltonian which is a constant of motion. For I < 0 we find numerous closed orbits with two unstable eigenvalues strongly indicating that two additional first integrals apart from the Hamiltonian cannot exist and thus that the system, at least for this case, is very probably not integrable. In addition, we present numerical evidence that the average Lyapunov exponent nevertheless vanishes. Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume: 28 (3) Da Pagina: 657 A: 667
Parole chiavi: chaotic behavior; cosmology; systemsDOI: 10.1088/0305-4470/28/3/019Citazioni: 16dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui