Standard static Finsler spacetimes

被引：31
|
作者：
Caponio, Erasmo [1 ]
Stancarone, Giuseppe [2 ]
机构：
[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy
[2] Univ Bari, Dipartimento Matemat, Via Orabona 4, I-70125 Bari, Italy
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2016年 / 13卷 / 04期
关键词：
Finsler spacetime; static spacetime; causality; GLOBALLY HYPERBOLIC SPACETIMES; TIME FUNCTIONS; GEOMETRY; METRICS; KINEMATICS; DYNAMICS; GRAVITY; THEOREM; SPACES;
D O I：
10.1142/S0219887816500407
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We introduce the notion of a standard static Finsler spacetime RxM where the base M is a Finsler manifold. We prove some results which connect causality with the Finslerian geometry of the base extending analogous ones for static and stationary Lorentzian spacetimes.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] Observable effects in a class of spherically symmetric static Finsler spacetimes
    Laemmerzahl, Claus
    Perlick, Volker
    Hasse, Wolfgang
    [J]. PHYSICAL REVIEW D, 2012, 86 (10):
  • [2] Causal boundary for standard static spacetimes
    Harris, SG
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 2971 - 2981
  • [3] Spacelike hypersurfaces in standard static spacetimes
    Colombo, Giulio
    Pelegrin, Jose A. S.
    Rigoli, Marco
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2019, 51 (01)
  • [4] Spacelike hypersurfaces in standard static spacetimes
    Giulio Colombo
    José A. S. Pelegrín
    Marco Rigoli
    [J]. General Relativity and Gravitation, 2019, 51
  • [5] ENERGY CONDITIONS IN STANDARD STATIC SPACETIMES
    ALLISON, D
    [J]. GENERAL RELATIVITY AND GRAVITATION, 1988, 20 (02) : 115 - 122
  • [6] Cosmological Finsler Spacetimes
    Hohmann, Manuel
    Pfeifer, Christian
    Voicu, Nicoleta
    [J]. UNIVERSE, 2020, 6 (05)
  • [7] Topology of the causal boundary for standard static spacetimes
    Flores, Jose L.
    Harris, Steven G.
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (05) : 1211 - 1260
  • [8] Weakly trapped submanifolds in standard static spacetimes
    Freitas, Allan G.
    de Lima, Henrique F.
    Lima, Eraldo A., Jr.
    Santos, Marcio S.
    [J]. ARKIV FOR MATEMATIK, 2019, 57 (02): : 317 - 332
  • [9] On generalized quasi Einstein standard static spacetimes
    Guler, Sinem
    Demirbag, Sezgin Altay
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2021, 170
  • [10] Redshift in Finsler spacetimes
    Hasse, Wolfgang
    Perlick, Volker
    [J]. PHYSICAL REVIEW D, 2019, 100 (02)
12345