A homogeneous space-time model with singularities

被引:4
|
作者
Bromberg, S [1 ]
Medina, A
机构
[1] UAM Iztapalapa, Dept Matemat, Mexico City, DF, Mexico
[2] Univ Montpellier 2, Dept Math, F-34095 Montpellier 5, France
关键词
D O I
10.1063/1.1320858
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show the existence of a left invariant pseudo-Riemannian metric on the Oscillator Group of dimension four, such that this group becomes a space-time with singularities in the sense of Hawking and Penrose. As an application we exhibit new incomplete, nonhomeomorphic compact Lorentzian manifolds. (C) 2000 American Institute of Physics. [S0022-2488(00)01612-1].
引用
收藏
页码:8190 / 8195
页数:6
相关论文
共 50 条
  • [41] Null geodesics and wave front singularities in the Godel space-time
    Kling, Thomas P.
    Roebuck, Kevin
    Grotzke, Eric
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2018, 50 (01)
  • [42] SINGULARITIES IN THE DELTA=3 TOMIMATSU-SATO SPACE-TIME
    CALVANI, M
    TUROLLA, R
    [J]. LETTERE AL NUOVO CIMENTO, 1980, 28 (14): : 492 - 496
  • [43] RESOLUTION OF SIMPLE SINGULARITIES YIELDING PARTICLE SYMMETRIES IN A SPACE-TIME
    RAINER, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (02) : 646 - 655
  • [44] Space-Time Foam Dense Singularities and de Rham Cohomology
    Anastasios Mallios
    Elemer E. Rosinger
    [J]. Acta Applicandae Mathematica, 2001, 67 : 59 - 89
  • [45] Space-time in the SYK model
    Das, Sumit R.
    Ghosh, Animik
    Jevicki, Antal
    Suzuki, Kenta
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (07):
  • [46] RECIPROCAL SPACE-TIME AND MOMENTUM-SPACE SINGULARITIES IN NARROW RESONANCE APPROXIMATION
    GREEN, MB
    [J]. NUCLEAR PHYSICS B, 1976, 116 (02) : 449 - 469
  • [47] Bilinear space-time estimates for homogeneous wave equations
    Foschi, D
    Klainerman, S
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2000, 33 (02): : 211 - 274
  • [48] A SPACE-TIME MODEL OF HEALTH
    BURKE, JB
    [J]. AVIATION SPACE AND ENVIRONMENTAL MEDICINE, 1986, 57 (11): : 1102 - 1103
  • [49] QUANTUM MODEL FOR SPACE-TIME
    CHAPLINE, G
    [J]. MODERN PHYSICS LETTERS A, 1992, 7 (22) : 1959 - 1965
  • [50] SPACE-TIME MODEL OF ISOSPACE
    ALLCOCK, GR
    [J]. NUCLEAR PHYSICS, 1961, 27 (02): : 204 - &