GEOMETRIZED DYNAMICS OF MULTIDIMENSIONAL COSMOLOGICAL MODELS

被引:2
|
作者
SZYDLOWSKI, M
机构
[1] Astronomical Observatory of Jagiellonian University, Krakow, 30-244
关键词
D O I
10.1007/BF00670526
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the present work we reduce the dynamics of multidimensional cosmological models to the geodesics on a pseudo-Riemannian space. The significance of Killing vectors and tensors for the integrability problem is discussed. We also investigate geometric properties of the geodesics representing the evolution of cosmological models.
引用
收藏
页码:715 / 734
页数:20
相关论文
共 50 条
  • [1] THE DYNAMICS OF HOMOGENEOUS MULTIDIMENSIONAL COSMOLOGICAL MODELS
    SZYDLOWSKI, M
    PAJDOSZ, G
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1989, 6 (10) : 1391 - 1408
  • [2] DYNAMICS OF MULTIDIMENSIONAL GENERALIZATION OF BIANCHI TYPE-IX COSMOLOGICAL MODELS
    DEMIANSKI, M
    HELLER, M
    SZYDLOWSKI, M
    [J]. PHYSICAL REVIEW D, 1987, 36 (10): : 2945 - 2954
  • [3] On the billiard approach in multidimensional cosmological models
    V. D. Ivashchuk
    V. N. Melnikov
    [J]. Gravitation and Cosmology, 2009, 15 : 49 - 58
  • [4] DYNAMIC REDUCTION IN MULTIDIMENSIONAL COSMOLOGICAL MODELS
    MAKARUK, H
    [J]. GENERAL RELATIVITY AND GRAVITATION, 1991, 23 (11) : 1205 - 1230
  • [5] QUALITATIVE STUDY OF MULTIDIMENSIONAL COSMOLOGICAL MODELS
    FABRIS, JC
    TOSSA, J
    [J]. PHYSICS LETTERS B, 1992, 296 (3-4) : 307 - 310
  • [6] PHYSICAL CONSTRAINTS ON MULTIDIMENSIONAL COSMOLOGICAL MODELS
    BELOBORODOV, A
    IVANOV, P
    POLNAREV, A
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (03) : 665 - 673
  • [7] On the Billiard Approach in Multidimensional Cosmological Models
    Ivashchuk, V. D.
    Melnikov, V. N.
    [J]. GRAVITATION & COSMOLOGY, 2009, 15 (01): : 49 - 58
  • [8] GEOMETRIZED DYNAMICS AND SEARCH OF STRUCTURAL INSTABILITIES IN SU(2) MODELS
    JEZEK, DM
    HERNANDEZ, ES
    [J]. PHYSICAL REVIEW C, 1987, 35 (04): : 1555 - 1562
  • [9] Integrable multidimensional gravitational and cosmological models and applications
    Ivashchuk, V. D.
    Melnikov, V. N.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2016, 31 (2-3):
  • [10] PHASE-DIAGRAMS OF MULTIDIMENSIONAL COSMOLOGICAL MODELS
    FABRIS, JC
    KERNER, R
    TOSSA, J
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 1994, 3 (01): : 181 - 185