Non-lorentzian spacetimes

被引:8
作者
Figueroa-O'Farrill, Jose [1 ]
机构
[1] Univ Edinburgh, Maxwell Inst, Sch Math, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Scotland
关键词
ASYMPTOTIC SYMMETRIES; GENERAL-RELATIVITY; NULL; GALILEI;
D O I
10.1016/j.difgeo.2022.101894
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
I review some of my recent work on non-lorentzian geometry. I review the classification of kinematical Lie algebras and their associated Klein geometries. I then describe the Cartan geometries modelled on them and their characterisation in terms of their intrinsic torsion. (C) 2022 The Author(s). Published by Elsevier B.V.
引用
收藏
页数:24
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共 54 条
  • [11] Leibnizian, Galilean and Newtonian structures of space-time
    Bernal, AN
    Sánchez, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (03) : 1129 - 1149
  • [13] Bianchi L, 1898, MEMORIE MATEMATICA F, VXI, P267
  • [14] GRAVITATIONAL WAVES IN GENERAL RELATIVITY .7. WAVES FROM AXI-SYMMETRIC ISOLATED SYSTEMS
    BONDI, H
    VANDERBU.MG
    METZNER, AWK
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 269 (1336): : 21 - &
  • [15] Cap A., 2009, Math. Surveys Monogr., V154
  • [16] Torsional Newton-Cartan geometry and Lifshitz holography
    Christensen, Morten H.
    Hartong, Jelle
    Obers, Niels A.
    Rollier, B.
    [J]. PHYSICAL REVIEW D, 2014, 89 (06):
  • [17] HOOKES SYMMETRIES AND NONRELATIVISTIC COSMOLOGICAL KINEMATICS .1.
    DEROME, JR
    DUBOIS, JG
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B, 1972, B 9 (02): : 351 - &
  • [18] DIE DIFFERENTIALGEOMETRIE DES GALILEISCHEN RELATIVITATSPRINZIPS
    DOMBROWSKI, HD
    HORNEFFE.K
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1964, 86 (04) : 291 - +
  • [19] BARGMANN STRUCTURES AND NEWTON-CARTAN THEORY
    DUVAL, C
    BURDET, G
    KUNZLE, HP
    PERRIN, M
    [J]. PHYSICAL REVIEW D, 1985, 31 (08): : 1841 - 1853
  • [20] Conformal Carroll groups
    Duval, C.
    Gibbons, G. W.
    Horvathy, P. A.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (33)