Burnett's conjecture in general relativity

被引:0
|
作者
Touati, Arthur [1 ,2 ]
机构
[1] Bordeaux Univ, CNRS, Bordeaux, France
[2] Bordeaux Univ, IMB, Bordeaux, France
来源
COMPTES RENDUS MECANIQUE | 2025年 / 353卷
关键词
Einstein equations; Backreaction; Relativistic kinetic theory; Compensated compactness; Geo- metric optics; High-frequency gravitational waves; HIGH-FREQUENCY; EINSTEIN EQUATIONS; GRAVITATIONAL-RADIATION; COMPENSATED COMPACTNESS; ASYMPTOTIC EXPANSIONS; NULL CONDITION; WAVES; LIMIT; OSCILLATIONS; VACUUM;
D O I
10.5802/crmeca.288
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present the literature on Burnett's conjecture in general relativity, which relate weak limits of vacuum solutions to relativistic kinetic theory. A special care is put on relating these works with early Choquet-Bruhat's results on high-frequency gravitational waves and geometric optics.
引用
收藏
页数:23
相关论文
共 50 条
  • [41] Von Neumann's quantization of general relativity
    Arbuzov, A. B.
    Cherny, A. Yu.
    Cirilo-Lombardo, D. J.
    Nazmitdinov, R. G.
    Nguyen Suan Han
    Pavlov, A. E.
    Pervushin, V. N.
    Zakharov, A. F.
    PHYSICS OF ATOMIC NUCLEI, 2017, 80 (03) : 491 - 504
  • [42] Von Neumann’s quantization of general relativity
    A. B. Arbuzov
    A. Yu. Cherny
    D. J. Cirilo-Lombardo
    R. G. Nazmitdinov
    Nguyen Suan Han
    A. E. Pavlov
    V. N. Pervushin
    A. F. Zakharov
    Physics of Atomic Nuclei, 2017, 80 : 491 - 504
  • [43] Gravity: An Introduction to Einstein's General Relativity
    Helbig, Phillip
    OBSERVATORY, 2021, 141 (1285): : 303 - 304
  • [44] A discretization of Holst’s action for general relativity
    Carlos E. Beltrán
    José A. Zapata
    General Relativity and Gravitation, 2023, 55
  • [45] Eddington’s Prediction for General Relativity Revisited
    M. L. Fil’chenkov
    Yu. P. Laptev
    Gravitation and Cosmology, 2018, 24 : 371 - 374
  • [46] SPECIAL RELATIVITY IN GENERAL RELATIVITY
    HIRONDEL, D
    JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (09) : 1471 - 1473
  • [47] Xiao's conjecture for general fibred surfaces
    Angel Barja, Miguel
    Gonzalez-Alonso, Victor
    Carlos Naranjo, Juan
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2018, 739 : 297 - 308
  • [49] On Lang's conjecture for surfaces of general type
    Kang, CX
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (02) : 945 - 957
  • [50] A COMPLEX CASE OF VOJTA'S GENERAL ABC CONJECTURE AND CASES OF CAMPANA'S ORBIFOLD CONJECTURE
    Guo, Ji
    Wang, Julie tzu-yueh
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 377 (07) : 4961 - 4991