Chaos in classical cosmology
We study the dynamics of a Friedmann-Robertson-Walker universe conformally coupled to a real, self-interacting, massive scalar field. We apply a full set of tools corresponding to dynamical system theory: fixed points, linear stability analysis, resonances study and numerical evaluation of Poincaré...
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| Otros Autores: | , , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Kluwer Academic Publishers-Plenum Publishers
1994
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| Sumario: | We study the dynamics of a Friedmann-Robertson-Walker universe conformally coupled to a real, self-interacting, massive scalar field. We apply a full set of tools corresponding to dynamical system theory: fixed points, linear stability analysis, resonances study and numerical evaluation of Poincaré sections of the dynamical flux. We can conclude that the chaotic behaviour is possible in the very early universe. In the case of a spatially closed universe we show that the route to chaos is reached by successive breaking of the resonant tori due to the action of 1:1 resonances. © 1994 Plenum Publishing Corporation. |
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| Bibliografía: | Barrow, J.D., (1982) Phys. Rep., 85, p. 1 Kolb, E., Turner, M.S., (1990) The Early Universe, , Addison-Wesley, New York Belinsky, V.A., Grishchuk, L.P., Khalatnikov, I.M., Zel'dovich, (1985) Phys. Lett., 155 B, p. 232 Amendola, L., Litterio, M., Occhionero, F., THE PHASE-SPACE VIEW OF INFLATION I: THE NON-MINIMALLY COUPLED SCALAR FIELD (1990) International Journal of Modern Physics A, 5 A, p. 3861 Calzetta, E., El Hasi, C., (1993) Class. Quant. Grav., 10, p. 1825 Berger, B.K., Moncrief, V., (1993) Phys. Rev., 48 D, p. 4676 Misner, C.W., Thorne, K.S., Wheeler, J.A., (1973) Gravitation, , W. H. Freeman, San Francisco Gutzwiller, M.C., (1990) Chaos in Classical and Quantum Mechanics, , Springer-Verlag, Berlin Tabor, M., (1989) Chaos and Integrability in Nonlinear Dynamic, , John Wiley & Sons, New York Schuster, H.G., (1984) Deterministic Chaos, , Physik-Verlag, Berlin Stolovistzky, G., Hernando, J.A., Resonant structure of integrable and near-integrable two-dimensional systems (1990) Physical Review A, 41 A, p. 3026 Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in Fortran, , 2nd ed., Cambridge University Press, Cambridge Channell, P.J., Scovel, C., (1990) Nonlinearity, 3, p. 231 |
| ISSN: | 00017701 |
| DOI: | 10.1007/BF02108938 |