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
  • [1] TRILINEAR COMPENSATED COMPACTNESS AND BURNETT'S CONJECTURE IN GENERAL RELATIVITY
    Huneau, Cecile
    Luk, Jonathan
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2024, 57 (02): : 385 - 472
  • [2] Failure of a stability conjecture in general relativity
    Gurtug, O
    Halilsoy, M
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2002, 117 (05): : 493 - 499
  • [3] ON THE INVARIANT MASS CONJECTURE IN GENERAL-RELATIVITY
    CHRUSCIEL, PT
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 120 (02) : 233 - 248
  • [4] PROOF OF THE POSITIVE MASS CONJECTURE IN GENERAL-RELATIVITY
    SCHOEN, R
    YAU, ST
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 65 (01) : 45 - 76
  • [5] Hamiltonian general relativity and the Belinskii-Khalatnikov-Lifshitz conjecture
    Ashtekar, Abhay
    Henderson, Adam
    Sloan, David
    CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (05)
  • [6] The resolution of the bounded L 2 curvature conjecture in general relativity
    Klainerman, Sergiu
    Rodnianski, Igor
    Szeftel, Jeremie
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2016, 47 (02): : 445 - 456
  • [7] PROOF OF THE GEROCH CONJECTURE FOR ELECTROMAGNETIC AND NEUTRINO FIELDS IN THE GENERAL-RELATIVITY
    SIBGATULLIN, NR
    DOKLADY AKADEMII NAUK SSSR, 1983, 271 (03): : 603 - 607
  • [8] The resolution of the bounded L2 curvature conjecture in general relativity
    Sergiu Klainerman
    Igor Rodnianski
    Jeremie Szeftel
    Bulletin of the Brazilian Mathematical Society, New Series, 2016, 47 : 445 - 456
  • [9] Global one-dimensionality conjecture within quantum general relativity
    Łukasz Andrzej Glinka
    Gravitation and Cosmology, 2010, 16 : 7 - 15
  • [10] The resolution of the bounded L2 curvature conjecture in general relativity
    Klainerman, Sergiu
    Rodnianski, Igor
    Szeftel, Jeremie
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III, 2014, : 895 - 913
12345