Remnant group of local Lorentz transformations in f(T) theories

被引:70
|
作者
Ferraro, Rafael [1 ,2 ]
Fiorini, Franco [3 ]
机构
[1] Univ Buenos Aires, CONICET, Inst Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, RA-1428 Buenos Aires, DF, Argentina
[3] Univ Nacl Cuyo, Inst Balseiro, RA-5500 Mendoza, Argentina
来源
PHYSICAL REVIEW D | 2015年 / 91卷 / 06期
关键词
D O I
10.1103/PhysRevD.91.064019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is shown that the extended teleparallel gravitational theories, known as f(T) theories, inherit some on shell local Lorentz invariance associated with the tetrad field defining the spacetime structure. We discuss some enlightening examples, such as Minkowski spacetime and cosmological (Friedmann-RobertsonWalker and Bianchi type I) manifolds. In the first case, we show that the absence of gravity reveals itself as an incapability in the selection of a preferred parallelization at a local level, due to the fact that the infinitesimal local Lorentz subgroup acts as a symmetry group of the frame characterizing Minkowski spacetime. Finite transformations are also discussed in these examples and, contrary to the common lore on the subject, we conclude that the set of tetrads responsible for the parallelization of these manifolds is quite vast and that the remnant group of local Lorentz transformations includes one-and two-dimensional Abelian subgroups of the Lorentz group.
引用
收藏
页数:10
相关论文
共 50 条
  • [21] Galileo and Lorentz Transformations: A study via group theory
    Rocha, A. N.
    Rizzuti, B. F.
    Mota, D. S.
    REVISTA BRASILEIRA DE ENSINO DE FISICA, 2013, 35 (04):
  • [22] GROUP-STRUCTURE OF SUPERLUMINAL LORENTZ TRANSFORMATIONS AND THEIR REPRESENTATION
    CHANDOLA, HC
    RAJPUT, BS
    CANADIAN JOURNAL OF PHYSICS, 1989, 67 (07) : 645 - 648
  • [23] GENERALIZED LORENTZ GROUP OF SPACE-TIME TRANSFORMATIONS
    Yarman, Tolga
    Altintas, Azmi A.
    Kholmetskii, Alexander L.
    Arik, Metin
    Marchal, Christian B.
    Yarman, Ozan
    Ozaydin, Fatih
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (04): : 987 - 1008
  • [24] THE COHOMOLOGY PROBLEM OF RIGID LORENTZ TRANSFORMATIONS IN AXIAL GAUGE-THEORIES
    BALASIN, H
    PIGUET, O
    SCHWEDA, M
    STIERLE, M
    PHYSICS LETTERS B, 1988, 215 (02) : 328 - 330
  • [25] QUANTUM-MECHANICS, LOCAL REALISTIC THEORIES, AND LORENTZ-INVARIANT REALISTIC THEORIES
    HARDY, L
    PHYSICAL REVIEW LETTERS, 1992, 68 (20) : 2981 - 2984
  • [26] GENERALIZED LORENTZ GROUP FOR TRANSFORMATIONS OF COORDINATES IN MASSIVE SYSTEMS OF REFERENCE
    SADYKOV, BS
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1981, (06): : 55 - 59
  • [27] Lorentz Symmetry Group, Retardation and Energy Transformations in a Relativistic Engine
    Rajput, Shailendra
    Yahalom, Asher
    Qin, Hong
    SYMMETRY-BASEL, 2021, 13 (03):
  • [28] GROUP PROPERTIES OF GENERALIZED LORENTZ TRANSFORMATIONS IN 8-DIMENSIONS
    CHANDOLA, HC
    RAJPUT, BS
    INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 1984, 22 (05) : 301 - 302
  • [29] SUPERLUMINAL FRAMES AND GROUP OF GENERALIZED LORENTZ TRANSFORMATIONS IN 4 DIMENSIONS
    MIGNANI, R
    LOMBARDO, U
    RECAMI, E
    LETTERE AL NUOVO CIMENTO, 1972, 4 (13): : 624 - &
  • [30] PARAMETRIZATION OF THE TRANSFORMATIONS OF THE LORENTZ COMPLEX GROUP FOR SPACES WITH REAL METRICS
    Kurochkin, Yurii A.
    Tomilchik, Lev M.
    DOKLADY NATSIONALNOI AKADEMII NAUK BELARUSI, 2018, 62 (02): : 159 - 163