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The Chaoticity of the Bianchi IX Cosmological Model

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Part of the book series: NATO ASI Series ((NSSB,volume 332))

Abstract

We briefly review the primeval role played by the Bianchi IX model in understanding the chaotic nature of the Einstein equations.

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References

  1. Belinskii, V.A., Lifshitz E.M., and Khalatnikov I.M., 1970, Usp. Fiz. Nauk., 102, 463

    Article  ADS  Google Scholar 

  2. Belinskii, V.A., Lifshitz E.M., and Khalatnikov I.M., 1971, Sov. Phys. Usp., 13, 745

    Article  ADS  Google Scholar 

  3. Belinskii, V.A., Khalatnikov, I.M., and Lifshitz E.M., 1970, Adv. Phys., 19, 525.

    Article  ADS  Google Scholar 

  4. Misner, C.W., 1969, Phys. Rev. Lett., 22, 1071.

    Article  ADS  MATH  Google Scholar 

  5. Lifshitz, E.M., Lifshitz, I.M., and Khalatnikov, I.M., 1970, Zh. Eksp. Teor. Fiz., 59, 322

    ADS  Google Scholar 

  6. Lifshitz, E.M., Lifshitz, I.M., and Khalatnikov, I.M., 1971, Sov. Phys. JETP, 32, 173.

    ADS  Google Scholar 

  7. Barrow, J.D., 1982, Phys. Rep., 85C, 1.

    Article  MathSciNet  ADS  Google Scholar 

  8. Chernoff, D.F., and Barrow, J.D., 1983, Phys. Rev. Lett., 50, 134.

    Article  MathSciNet  ADS  Google Scholar 

  9. Zardecki, A., 1983, Phys. Rev. D, 28, 1235.

    Article  MathSciNet  ADS  Google Scholar 

  10. Bogoyavlenskii, O.I., 1985, Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics, (New York: Springer Verlag).

    Google Scholar 

  11. Francisco, G., and Matsas, G.E.A., 1988, Gen. Rel. Grav., 20, 1047.

    Article  MathSciNet  ADS  Google Scholar 

  12. Khalatnikov, I.M., Lifshitz, E.M., Khanin, K.M., Schur, L.N., and Sinai, Ya.G., 1985, J. Stat. Phys., 38, 97.

    Article  ADS  Google Scholar 

  13. Burd, A.B., Buric, N., and Ellis, G.F.R., 1989 Abstract of 12th Intern. Conf. on Gen. Relat. held at Boulder (CO)

    Google Scholar 

  14. Burd, A.B., Buric, N., and Ellis, G.F.R., 1990, Gen. Rel. Grav., 22, 349.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Hobill, D., Bernstein, D., Welge, M., and Simkins, D., 1989, Abstract of 12th Intern. Conf. on Gen. Relat. held at Boulder (CO)

    Google Scholar 

  16. Hobill, D., Bernstein, D., Welge, M., and Simkins, D., 1991, Class. Quant. Grav., 8, 1155.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Ma, P.K-H., and Wainwright, J., 1989, Proceed. of the Third Hungarian Relativity Workshop, Budapest, (unpublished).

    Google Scholar 

  18. Rugh, S.E., and Jones, B.J.Y., 1990, Phys. Lett A, 147, 353.

    Article  MathSciNet  ADS  Google Scholar 

  19. Berger, B.K., 1990, Class. Quant Grav. 7, 203.

    Article  ADS  Google Scholar 

  20. Burd, A.B., Buric, N., and Tavakol, R.K., 1991, Class. Quant Grav., 8, 123.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Berger, B.K., 1993, Phys. Rev. D, 47, 3222.

    Article  ADS  Google Scholar 

  22. Pullin, J., 1991, in SILARG VII Relativity and Gravitation: Classical and Quantum, edited by J.C. D’Olivio, E. Nahmad-Achar, M. Rosenbaum, M.P. Ryan, Jr., L.F. Urrutia, and F. Zertuche (World Scientific, Singapore)

    Google Scholar 

  23. Ferraz, K., Francisco, G., Matsas, G.E.A., 1991, Phys. Lett A, 156, 407.

    Article  ADS  Google Scholar 

  24. Berger, B.K., 1991, Gen. Rel Grav., 23, 1385.

    Article  ADS  Google Scholar 

  25. Misner, C.W., Thorne, K.S., Wheeler, J.A., 1973, Gravitation (Freeman, San Francisco).

    Google Scholar 

  26. Ferraz, K., and Francisco, G., 1992, Phys. Rev. D, 45, 1158.

    Article  MathSciNet  ADS  Google Scholar 

  27. Szydlowskii, M., 1993, Phys. Lett A 176, 22.

    Article  MathSciNet  ADS  Google Scholar 

  28. Burd, A., and Tavakol, R., 1993, Phys. Rev. D, 47, 5336.

    Article  ADS  Google Scholar 

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Francisco, G., Matsas, G.E.A. (1994). The Chaoticity of the Bianchi IX Cosmological Model. In: Hobill, D., Burd, A., Coley, A. (eds) Deterministic Chaos in General Relativity. NATO ASI Series, vol 332. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9993-4_21

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  • DOI: https://doi.org/10.1007/978-1-4757-9993-4_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9995-8

  • Online ISBN: 978-1-4757-9993-4

  • eBook Packages: Springer Book Archive

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