Projective symmetry in FRW spacetimes

被引:20
|
作者
Hall, GS [1 ]
机构
[1] Univ Aberdeen, Kings Coll, Dept Math Sci, Aberdeen AB24 3UE, Scotland
关键词
D O I
10.1088/0264-9381/17/22/304
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
This paper presents a general discussion of projective symmetry in FRW spacetimes. It is shown that there is at most one proper projective vector field admitted in the sense that any other projective vector field is a linear combination of the original and a homothetic vector field. The situation is, essentially, solved completely for the FRW models with k = +/-1 and up to quadratures in the case k = 0.
引用
收藏
页码:4637 / 4644
页数:8
相关论文
共 50 条
  • [31] FRW string cosmological solutions via Hojman symmetry
    Darabi, F.
    Golmohammadi, M.
    Rezaei-Aghdam, A.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (12)
  • [32] Recognition of plane projective symmetry
    Curwen, RW
    Mundy, JL
    Stewart, CV
    SIXTH INTERNATIONAL CONFERENCE ON COMPUTER VISION, 1998, : 1115 - 1122
  • [33] Projective Geometry and Phenomenological Symmetry
    Kyrov, V. A.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2012, 5 (01): : 82 - 90
  • [34] Recognition of plane projective symmetry
    Curwen, RW
    Mundy, JL
    Stewart, C
    40TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1 AND 2, 1998, : 896 - 900
  • [35] Dark energy and projective symmetry
    Gibbons, G. W.
    Warnick, C. M.
    PHYSICS LETTERS B, 2010, 688 (4-5) : 337 - 340
  • [36] Modified hoop conjecture in expanding spacetimes and primordial black hole production in FRW universe
    Saini, Anshul
    Stojkovic, Dejan
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2018, (05):
  • [37] General forms of the metric for spacetimes with axial symmetry
    Gauthier, C
    Gravel, P
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2000, 115 (10): : 1195 - 1201
  • [38] Lifshitz symmetry: Lie algebras, spacetimes and particles
    Figueroa-O'Farrill, Jose
    Grassie, Ross
    Prohazka, Stefan
    SCIPOST PHYSICS, 2023, 14 (03):
  • [39] Conformal symmetry inheritance in null fluid spacetimes
    Tupper, BOJ
    Keane, AJ
    Hall, GS
    Coley, AA
    Carot, J
    CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (05) : 801 - 811
  • [40] Global Foliations of Matter Spacetimes¶with Gowdy Symmetry
    Håkan Andréasson
    Communications in Mathematical Physics, 1999, 206 : 337 - 365