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Abstract:

Inflationary cosmologies, regarded as dynamical systems, have rather simple asymptotic behavior insofar as the cosmic baldness principle holds. Nevertheless, in the early stages of an inflationary process the dynamical behavior may be very complex. In this paper, we show how even a simple inflationary scenario, based on Linde's "chaotic inflation" proposal, manifests nontrivial dynamical effects such as the breakup of invariant tori, the formation of cantori, and Arnol'd's diffusion. The relevance of such effects is highlighted by the facts that even the occurrence or nonoccurrence of inflation in a given universe is dependent upon them. © 1995 The American Physical Society.

Registro:

Documento: Artículo
Título:Nontrivial dynamics in the early stages of inflation
Autor:Calzetta, E.; El Hasi, C.
Filiación:Instituto de Astronomía y Física del Espacio, C.Correo No. 67, Sucursal 28, 1428 Buenos Aires, Argentina
Departamento de Física, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1995
Volumen:51
Número:6
Página de inicio:2713
Página de fin:2728
DOI: http://dx.doi.org/10.1103/PhysRevD.51.2713
Título revista:Physical Review D
ISSN:05562821
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v51_n6_p2713_Calzetta

Referencias:

  • Linde, A.D., (1983) Phys. Lett., 129 B, p. 177
  • Gibbons, G., Hawking, S.W., (1977) Phys. Rev. D, 15, p. 2738
  • Starobinsky, A.A., (1983) Pis'ma Zh. Eksp. Teor. Fiz., 37, p. 55
  • (1983) JETP Lett., 37, p. 66
  • Nakao, K., Maeda, K., Nakamura, T., Oohara, K., (1991) Phys. Rev. D, 43, p. 1788
  • Nakao, K., Maeda, K., Nakamura, T., Oohara, K., (1993) Phys. Rev. D, 47, p. 3194
  • Arnol'd, V.I., (1963) Usp. Mat. Nauk., 18, p. 13
  • (1963) Russ. Math. Sur., 18, p. 9
  • 18, 91 (1963) [18, 85 (1963)];; Arnol'd, V.I., Avez, A., (1968) Ergodic Problems of Classical Mechanics, , Benjamin, New York
  • Percival, I.C., (1974) J. Phys. A, 7, p. 794
  • Percival, I.C., (1979) J. Phys. A, 12, p. L57
  • in Nonlinear Dynamics and the Beam Beam Interaction, edited by M. Month and J. Herrera, AIP Conf. Proc. No. 57 (AIP, New York, 1979), p. 302 [reprinted in Hamiltonian Dynamical Systems, edited by R. MacKay and J. Meiss (Hilger, Bristol, 1987), p. 367];; Katok, A., (1983) Dynamical Systems and Chaos, , edited by, L. Garrido, Springer Lecture Notes in Physics Vol. 179, (Springer, New York, 47 reprinted in Hamiltonian Dynamical Systems, edited by R. MacKay and J. Meiss, Hilger, Bristol, 1987), p. 376;
  • Aubry, S., (1983) Physica, 7 D, p. 240. , reprinted in Hamiltonian Dynamical Systems, edited by R. MacKay and J. Meiss (Hilger, Bristol, 1987), p. 746];
  • Mather, J.N., (1984) Erg. Theor. Dyn. Syst., 4, p. 301. , reprinted in Hamiltonian Dynamical Systems, edited by R. MacKay and J. Meiss (Hilger, Bristol, 1987), p. 395];
  • MacKay, R., Meiss, J., Percival, I., (1984) Physica, 13 D, p. 55
  • Meiss, J.D., (1992) Rev. Mod. Phys., 64, p. 795
  • Baesens, C., MacKay, R., (1993) Physica, 69 D, p. 59
  • Arnol'd, V.I., (1964) Dokl. Akad. Nauk. SSSR, 156, p. 9
  • (1964) Sov. Math. Dokl., 5, p. 581
  • Chirikov, B.V., (1979) Phys. Rep., 52, p. 263
  • Zaslavsky, G.M., Sagdeev, R.Z., Usikov, D.A., Chernikov, A.A., (1991) Weak Chaos and Quasi Regular Patterns, , Cambridge University Press, Cambridge, England
  • Lieberman, M.A., Tennyson, J.L., (1983) Long Time Prediction in Dynamics, p. 179. , edited by, C. W. Horton, L. E. Reichl, V. G. Szebehely, John Wiley, New York
  • Lucchin, F., Matarrese, S., (1985) Phys. Rev. D, 32, p. 1316
  • La, D., Steinhardt, P., (1989) Phys. Rev. Lett, 62, p. 376
  • Accetta, F., Steinhardt, P., (1990) Phys. Rev. Lett, 64, p. 2740
  • Mollerach, S., Matarrese, S., Ortolan, A., Lucchin, F., (1991) Phys. Rev. D, 44, p. 1670
  • Steinhardt, P.J., (1993) Class. Quantum Grav., 10, p. S33
  • Bento, M., Bertolami, O., Moniz, P., Mour ao, J., Sá, P., (1993) Class. Quantum Grav., 10, p. 285
  • Belinsky, V.A., Grishchuk, L.P., Khalatnikov, I.M., Zel'dovich, Ya. B., (1985) Phys. Lett., 155 B, p. 232
  • [ (1985) Zh. Eksp. Teor. Fiz., 89, p. 346. , 62, 195, Sov. Phys. JETP
  • in Proceedings of the Third Seminar on Quantum Gravity, edited by M. A. Markov, V. A. Berezin, and V. P. Frolov (World Scientific, Singapore, 1985), pp. 566 590;; Gottlober, S., Muller, V., Starobinsky, A., Analysis of inflation driven by a scalar field and a curvature-squared term (1991) Physical Review D, 43, p. 2510
  • 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, p. 3861
  • Burd, A., (1993) Class. Quantum Grav., 10, p. 1495
  • Abolghasem, G., Burd, A., Coley, A., (1993) Phys. Rev. D, 48, p. 557. , and R. van der Hoogen
  • Capozziello, S., Ochionero, F., Amendola, L., (1993) Int. J. Mod. Phys. D, 1, p. 615
  • Halliwell, J., Hawking, S., (1985) Phys. Rev. D, 31, p. 1777
  • Hawking, S.W., (1987) 300 Years of Gravitation, p. 631. , edited by, S. W. Hawking, W. Israel, Cambridge University Press, Cambridge, England
  • Halliwell, J.J., (1993) General Relativity and Gravitation 1992, p. 63. , edited by, R. J. Gleiser, C. N. Kozameh, O. M. Moreschi, Institute of Physics and Physical Society, Bristol
  • Grishchuk, L.P., (1993) Phys. Rev. D, 48, p. 3513
  • Grishchuk, L.P., (1993) Class. Quantum Grav., 10, p. 2449
  • Parker, L., (1968) Phys. Rev. Lett., 21, p. 562
  • Parker, L., (1969) Phys. Rev., 183, p. 1057
  • Parker, L., (1971) Phys. Rev. D, 3, p. 346
  • Calzetta, E., (1991) Phys. Rev. D, 44, p. 3043
  • Calzetta, E., El Hasi, C., (1993) Class. Quantum Grav., 10, p. 1825
  • Calzetta, E., (1994) Deterministic Chaos in General Relativity, , edited by, A. Burd, A. Coley, D. Hobill, Plenum, New York
  • Birrell, N.D., Davies, P.C.W., (1981) Quantum Fields on Curved Spaces, , Cambridge University Press, Cambridge, England
  • Kurki Suonio, H., Laguna, P., Matzner, R., Inhomogeneous inflation: Numerical evolution (1993) Physical Review D, 48, p. 3611
  • Berger, B.K., Moncrief, V., (1993) Phys. Rev. D, 48, p. 4676
  • Bardeen, J.M., (1980) Phys. Rev. D, 22, p. 1882
  • Bombelli, L., Couch, W., Torrence, R., (1994) Class. Quantum Grav., 11, p. 139
  • Brandenberger, R., Feldman, H., Mukhanov, V., Prokopec, T., (1993) Origin of Structure in the Universe, p. 13. , edited by, E. Gunzig, P. Nardone, Kluwer, Dordrecht
  • Laflamme, R., Shellard, E.P.S., (1987) Phys. Rev. D, 35, p. 2315
  • Hawking, S.W., Laflamme, R., Lyons, G.W., (1993) Phys. Rev. D, 47, p. 5342
  • Börner, G., (1992) The Early Universe, 2nd ed., , Springer Verlag, New York
  • Hénon, M., (1983) Chaotic Behavior of Deterministic Systems, p. 53. , edited by, G. Iooss, R. Hellerman, R. Stora, North Holland, Amsterdam
  • Vilenkin, A., (1983) Phys. Rev. D, 27, p. 2848
  • Nekhoroshev, N.N., (1977) Usp. Mat. Nauk. USSR, 32, p. 6
  • (1977) Russ. Math. Surv., 32, p. 1
  • Benettin, G., Galgani, L., Giorgilli, A., Strelcyn, J.M., (1980) Meccanica, 15, p. 9
  • Benettin, G., Galgani, L., Giorgilli, A., Strelcyn, J.M., (1980) Meccanica, 15, p. 21
  • Wolf, A., Swift, J., Swinney, H., Vastano, J., (1985) Physica, 16 D, p. 285
  • Oseledec, V.I., (1968) Tr. Mosk. Mat. Obsch., 19, p. 179
  • (1968) Trans. Mosc. Math. Soc., 19, p. 197
  • Meyer, H.D., (1986) J. Chem. Phys., 84, p. 3147
  • Burd, A., Tavakol, R., (1993) Phys. Rev. D, 47, p. 5336
  • Pesin, Ya. B., (1977) Usp. Mat. Nauk, 32, p. 55
  • (1977) Russ. Math. Surv., 32, p. 55
  • Lidsey, J.E., Tavakol, R.K., (1993) Phys. Lett. B., 309, p. 23
  • Copeland, E., Kolb, E., Liddle, A., Lidsey, J., (1993) Phys. Rev. D, 48, p. 2529
  • Misner, C., Thorne, K., Wheeler, A., (1972) Gravitation, , Freeman, San Francisco
  • Lifshitz, E.M., Khalatnikov, I.M., Investigations in relativistic cosmology (1963) Advances in Physics, 12, p. 185
  • Blanco, S., Domenech, G., El Hasi, C., Rosso, O., (1994) Gen. Relat. Gravit., 26, p. 1131
  • Gradshteyn, I.S., Ryzhik, I.M., (1980) Table of Integrals, Series, and Products, , Academic Press, New York
  • Mazzitelli, F.D., Paz, J.P., El Hasi, C., (1989) Phys. Rev. D, 40, p. 955
  • Paz, J.P., (1990) Phys. Rev. D, 42, p. 529
  • Kofman, L., Linde, A., Starobinsky, A., ; Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., (1985) Numerical Recipes: The Art of Scientific Computing, , Cambridge University Press, Cambridge, England
  • Hénon, M., (1983) Chaotic Behavior of Deterministic Systems, p. 53. , edited by, G. Iooss, R. H. G. Helleman, R. Stora, North Holland, New York
  • Lichtenberg, A.J., Lieberman, M.A., (1982) Regular and Chaotic Dynamics, , Springer Verlag, New York
  • C. W. Misner, in Magic without Magic: John Archibald Wheeler, edited by J. Klauder (Freeman, San Francisco, 1972); Kucha, K.V., Ryan, M.P., Is minisuperspace quantization valid?: Taub in mixmaster (1989) Physical Review D, 40, p. 3982. , u r and

Citas:

---------- APA ----------
Calzetta, E. & El Hasi, C. (1995) . Nontrivial dynamics in the early stages of inflation. Physical Review D, 51(6), 2713-2728.
http://dx.doi.org/10.1103/PhysRevD.51.2713
---------- CHICAGO ----------
Calzetta, E., El Hasi, C. "Nontrivial dynamics in the early stages of inflation" . Physical Review D 51, no. 6 (1995) : 2713-2728.
http://dx.doi.org/10.1103/PhysRevD.51.2713
---------- MLA ----------
Calzetta, E., El Hasi, C. "Nontrivial dynamics in the early stages of inflation" . Physical Review D, vol. 51, no. 6, 1995, pp. 2713-2728.
http://dx.doi.org/10.1103/PhysRevD.51.2713
---------- VANCOUVER ----------
Calzetta, E., El Hasi, C. Nontrivial dynamics in the early stages of inflation. 1995;51(6):2713-2728.
http://dx.doi.org/10.1103/PhysRevD.51.2713