Generalized Robertson-Walker spacetimes - A survey

被引:129
|
作者
Mantica, Carlo Alberto [1 ]
Molinari, Luca Guido [2 ,3 ]
机构
[1] IIS Lagrange, Via L Modignani 65, I-20161 Milan, Italy
[2] Univ Milan, Dept Phys, Via Celoria 16, I-20133 Milan, Italy
[3] INFN Sezione Milano, Via Celoria 16, I-20133 Milan, Italy
关键词
Generalized Robertson-Walker spacetime; perfect fluid spacetime; Killing vector; conformal Killing vector; torse-forming vector; concircular vector; conformal Killing tensor; Robertson-Walker spacetime; CONSTANT MEAN-CURVATURE; SPACELIKE HYPERSURFACES; NULL HYPERSURFACES; UNIQUENESS; EQUATION; STABILITY; GEOMETRY; PRODUCT; TIMES;
D O I
10.1142/S021988781730001X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Generalized Robertson-Walker spacetimes extend the notion of Robertson-Walker spacetimes, by allowing for spatial non-homogeneity. A survey is presented, with main focus on Chen's characterization in terms of a timelike concircular vector. Together with their most important properties, some new results are presented.
引用
收藏
页数:27
相关论文
共 50 条
  • [1] Null hypersurfaces in generalized Robertson-Walker spacetimes
    Navarro, Matias
    Palmas, Oscar
    Solis, Didier A.
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2016, 106 : 256 - 267
  • [2] On the geometry of generalized Robertson-Walker spacetimes: Geodesics
    Sanchez, M
    [J]. GENERAL RELATIVITY AND GRAVITATION, 1998, 30 (06) : 915 - 932
  • [3] On Spacelike Hypersurfaces in Generalized Robertson-Walker Spacetimes
    Alessa, Norah
    Guediri, Mohammed
    [J]. AXIOMS, 2024, 13 (09)
  • [4] On the Geometry of Generalized Robertson-Walker Spacetimes: Geodesics
    Miguel Sánchez
    [J]. General Relativity and Gravitation, 1998, 30 : 915 - 932
  • [5] A simple characterization of generalized Robertson-Walker spacetimes
    Chen, Bang-Yen
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2014, 46 (12)
  • [6] Willmore surfaces in Generalized Robertson-Walker spacetimes and static spacetimes
    Caballero, Magdalena
    [J]. XVIII INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS, 2010, 1260 : 112 - 118
  • [7] Marginally trapped submanifolds in generalized Robertson-Walker spacetimes
    Alias, Luis J.
    Canovas, Veronica L.
    Gervasio Colares, A.
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2017, 49 (02)
  • [8] ELECTRODYNAMICS IN ROBERTSON-WALKER SPACETIMES
    ALERTZ, B
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1990, 53 (03): : 319 - 342
  • [9] Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes
    Cunha, Antonio W.
    de Lima, Henrique F.
    Lima, Eraldo A., Jr.
    Santos, Marcio S.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 484 (01)
  • [10] Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons
    De, Krishnendu
    Khan, Mohammad Nazrul Islam
    De, Uday Chand
    [J]. HELIYON, 2024, 10 (04)