Abstract
The long-term behavior of Bianchi-type VIII models with three different types of stress-energy tensors are examined and compared. The vacuum model, a matter-filled model, and a model with an electromagnetic field are considered. In each case the existence of chaotic behavior and transitions to chaotic behavior are discussed.
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Misner, C. W. (1969).Phys. Rev. Lett.,22, 1071.
Misner, C. W. (1976).Phys. Rev. D14, 2460.
Barrow, J. D., and Tipler, F. J. (1978).Nature,276, 453.
York, J. W. (1972).Phys. Rev. Lett.,28, 1082.
Barrow, J. D., and Sonoda, D. H., (1985).Gen. Rel. Grav.,17, 409.
Belinskii, V. A., Lifshitz, E. M., and Khalatnikov, I. M. (1970).Sov. Phys. JETP Lett.,11, 123.
Barrow, J. D. (1981).Phys. Rev. Lett.,46, 963.
Barrow, J. D., private communication.
Zeldovic, Y. B., (1962).Sov. Phys. JETP,14, 1143.
Belinskii, V. A., and Khalatnikov, I. M. (1973).Sov. Phys. JETP,36, 591.
Landau, L. and Lifshitz, E. M. (1975).Fluid Mechanics (Pergamon, Oxford).
Marsden, J., and McCracken, M. (1976).The Hopf Bifurcation and its Applications (Springer, New York).
Barrow, J. D. (1982).Phys. Rep.,85, 1.
Feigenbaum, M. J. (1978).J. Stat. Phys.,19, 25;21, 669.
Belinskii, V. A., and Khalatnikov, I. M. (1976). Preprint, Landau Institute of Theoretical Physics (Chernogolovka, USSR).
Elskens, Y. (1983).Phys. Rev.,D28, 1033.
Arnowitt, R., Deser, S., and Misner, C. W. (1962). InGravitation: An Introduction to Current Research, L. Witten, ed. (Wiley, New York), p. 227–265.
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Halpern, P. Chaos in the long-term behavior of some Bianchi-type VIII models. Gen Relat Gravit 19, 73–94 (1987). https://doi.org/10.1007/BF01119812
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DOI: https://doi.org/10.1007/BF01119812