Lorentz spacetimes of constant curvature

被引:127
|
作者
Mess, Geoffrey [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
基金
美国国家科学基金会;
关键词
spacetimes; flat; anti-de Sitter; de Sitter; globally hyperbolic; domain of dependence;
D O I
10.1007/s10711-007-9155-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is unpublished work of Geoffrey Mess written in 1990, which gives a classification of flat and anti-de Sitter domains of dependence in 2+1 dimensions.
引用
收藏
页码:3 / 45
页数:43
相关论文
共 50 条
  • [41] Spacelike hypersurfaces with constant rth mean curvature in steady state type spacetimes
    Aquino C.P.
    de Lima H.F.
    dos Santos F.R.
    Velásquez M.A.L.
    [J]. Journal of Geometry, 2015, 106 (1) : 85 - 96
  • [42] KILLING VECTORS IN HIGHER-DIMENSIONAL SPACETIMES WITH CONSTANT SCALAR CURVATURE INVARIANTS
    Mcnutt, David
    Pelavas, Nicos
    Coley, Alan
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (08) : 1349 - 1369
  • [43] Phase structure of renormalizable four-fermion models in spacetimes of constant curvature
    Elizalde, E
    Leseduarte, S
    Odintsov, SD
    Shilnov, YI
    [J]. PHYSICAL REVIEW D, 1996, 53 (04): : 1917 - 1926
  • [44] Lorentz violations in multifractal spacetimes
    Calcagni, Gianluca
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (05):
  • [45] Constant mean curvature slices and trapped surfaces in asymptotically flat spherical spacetimes
    Iriondo, M.
    Malec, E.
    Murchadha, N. O.
    [J]. Physical Review D Particles, Fields, Gravitation and Cosmology, 54 (08):
  • [46] The behaviour of geodesics in constant-curvature spacetimes with expanding impulsive gravitational waves
    Svarc, Robert
    Podolsky, Jiri
    [J]. SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS, 2011, 314
  • [47] Constant mean curvature slices and trapped surfaces in asymptotically flat spherical spacetimes
    Iriondo, M
    Malec, E
    Murchadha, NO
    [J]. PHYSICAL REVIEW D, 1996, 54 (08): : 4792 - 4798
  • [48] Lorentz violations in multifractal spacetimes
    Gianluca Calcagni
    [J]. The European Physical Journal C, 2017, 77
  • [49] Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space
    López, R
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (03) : 971 - 993
  • [50] COMPLETENESS OF LORENTZ MANIFOLDS OF CONSTANT CURVATURE ADMITTING KILLING VECTOR-FIELDS
    KAMISHIMA, Y
    [J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1993, 37 (03) : 569 - 601