PALATINI FORMALISM AND NEW CANONICAL VARIABLES FOR GL(4)-INVARIANT GRAVITY

被引：21
|
作者：
FLOREANINI, R [1 ]
PERCACCI, R [1 ]
机构：
[1] SCUOLA INT SUPER STUDI AVANZATI,TRIESTE,ITALY
来源：
CLASSICAL AND QUANTUM GRAVITY | 1990年 / 7卷 / 10期
关键词：
D O I：
10.1088/0264-9381/7/10/011
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In the context of a recently proposed GL(4)-invariant formulation of general relativity the authors discuss a generalized Palatini formalism in which the conditions of metricity and torsionlessness are both obtained as dynamical equations. This theory can be reformulated in terms of new variables which, in a special gauge, reduce to the ones introduced by Ashtekar (1987,8). They describe the emergence of the new variables both in Lagrangian and in Hamiltonian language.
引用
收藏
页码：1805 / 1818
页数：14
相关论文
共 50 条
  • [1] CANONICAL ALGEBRA OF GL(4)-INVARIANT GRAVITY
    FLOREANINI, R
    PERCACCI, R
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (06) : 975 - 984
  • [2] Scale-invariant quadratic gravity and inflation in the Palatini formalism
    Gialamas, Ioannis D.
    Karam, Alexandros
    Pappas, Thomas D.
    Spanos, Vassilis C.
    [J]. PHYSICAL REVIEW D, 2021, 104 (02)
  • [3] Unified formalism for Palatini gravity
    Capriotti, S.
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (03)
  • [4] Affine gravity, Palatini formalism and charges
    Joseph Katz
    Gideon I. Livshits
    [J]. General Relativity and Gravitation, 2011, 43 : 3313 - 3336
  • [5] Cosmology with a new f (R) gravity model in Palatini formalism
    Gogoi, Dhruba Jyoti
    Goswami, Umananda Dev
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2022, 31 (06):
  • [6] Affine gravity, Palatini formalism and charges
    Katz, Joseph
    Livshits, Gideon I.
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2011, 43 (12) : 3313 - 3336
  • [7] Thermodynamics in f(R) gravity in the Palatini formalism
    Bamba, Kazuharu
    Geng, Chao-Qiang
    [J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2010, (06):
  • [8] Cosmological consequences of exponential gravity in Palatini formalism
    Campista, M.
    Santos, B.
    Santos, J.
    Alcaniz, J. S.
    [J]. PHYSICS LETTERS B, 2011, 699 (05) : 320 - 324
  • [9] Constraining f (R) gravity in the Palatini formalism
    Sotiriou, TP
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (04) : 1253 - 1267
  • [10] A note on the canonical formalism for gravity
    Witten, Edward
    [J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2023, 27 (01) : 311 - 380
12345