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Volumn 32, Issue 6, 1985, Pages 1595-1596

Kaluza-Klein mixmaster universes

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EID: 0001208128     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.32.1595     Document Type: Article
Times cited : (56)

References (22)
  • 12
    • 84927905939 scopus 로고
    • For a different viewpoint and further results on the full mixmaster dynamical system, see Ref. 3;
    • (1971) Sov. Phys. Usp. , vol.13 , pp. 745
  • 18
    • 0347429949 scopus 로고
    • Is Anisotropic Kaluza-Klein Model of Universe Chaotic ?
    • While this paper was being prepared there appeared a paper by, which independently analyzes a similar problem to that considered here. These authors employ a completely different technique of analysis compared to ourselves, and examine the mixmaster behavior employing the Hamiltonian ``qualitative cosmology'' of Misner (Ref. 4);
    • (1985) Progress of Theoretical Physics , vol.73 , pp. 467
    • Furusawa, T.1    Hosoya, A.2
  • 19
    • 0004236662 scopus 로고
    • Springer, Heidelberg, but our conclusions regarding the absence of chaos in higher-dimensional mixmaster models are in agreement.
    • (1972) Hamiltonian Cosmology
    • Ryan, M.1
  • 20
    • 84927197830 scopus 로고    scopus 로고
    • We have recently analyzed the N-dimensional mixmaster universes which possess SO(N)-invariant dynamics [J. D. Barrow and J. Stein-Schabes, Astronomy Centre, University of Sussex report, 1985 (unpublished)]. Again we find that they are only chaotic when N=3.
  • 21
    • 84927242836 scopus 로고
    • It is worth pointing out that chaotic behavior, in the dynamical sense, only occurs in three-dimensional Bianchi type-VIII and -IX spaces when the evolution is followed into the singularity at t = 0. There are an infinite number of space-time oscillations on any interval t member, 0, T for T > 0. However, as first stressed by
    • (1970) Astron. Zh. , vol.47 , pp. 948
    • Doroshkevich, A.1    Novikov, I.D.2
  • 22
    • 49449090169 scopus 로고
    • if the evolution ceases to be of mixmaster type at the Planck time, tPapp 10-43 sec, then only a small number of oscillations could have occurred in the interval of time from tP to the present. Thus, the truncated mixmaster behavior found in the presence of extra dimensions may be as ``chaotic'' as a physically realistic three-dimensional model.
    • (1971) Sov. Astron. , vol.14 , pp. 763


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.