Static, self-gravitating elastic bodies

被引:18
|
作者
Beig, R
Schmidt, BG
机构
[1] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria
[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany
关键词
elasticity; elastic equilibria; gravitating bodies;
D O I
10.1098/rspa.2002.1031
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
An existence theorem, within the Newtonian theory of gravity, is proved for static, self-gravitating, isolated bodies composed of elastic material. The theorem covers the case where these bodies are small, but allows them to have arbitrary shape.
引用
收藏
页码:109 / 115
页数:7
相关论文
共 50 条
  • [1] Static self-gravitating elastic bodies in Einstein gravity
    Andersson, Lars
    Beig, Robert
    Schmidt, Bernd G.
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2008, 61 (07) : 988 - 1023
  • [2] Ground states of self-gravitating elastic bodies
    Simone Calogero
    Tommaso Leonori
    Calculus of Variations and Partial Differential Equations, 2015, 54 : 881 - 899
  • [3] Ground states of self-gravitating elastic bodies
    Calogero, Simone
    Leonori, Tommaso
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (01) : 881 - 899
  • [4] Static Self-gravitating Newtonian Elastic Balls
    Alho, A.
    Calogero, S.
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 238 (02) : 639 - 669
  • [5] Static Self-gravitating Newtonian Elastic Balls
    A. Alho
    S. Calogero
    Archive for Rational Mechanics and Analysis, 2020, 238 : 639 - 669
  • [6] ON MAGNETOSPHERES OF SELF-GRAVITATING BODIES
    WOLTJER, L
    ASTROPHYSICAL JOURNAL, 1967, 148 (1P1): : 291 - &
  • [7] Self-gravitating static balls of power-law elastic matter
    Alho, Artur
    Calogero, Simone
    Liljenberg, Astrid
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 26 (09) : 2885 - 2908
  • [8] ELASTIC DISLOCATION THEORY FOR A SELF-GRAVITATING ELASTIC CONFIGURATION WITH AN INITIAL STATIC STRESS FIELD
    DAHLEN, FA
    GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1972, 28 (04): : 357 - &
  • [9] On Self-Gravitating Polytropic Elastic Balls
    Calogero, Simone
    ANNALES HENRI POINCARE, 2022, 23 (12): : 4279 - 4318
  • [10] On Self-Gravitating Polytropic Elastic Balls
    Simone Calogero
    Annales Henri Poincaré, 2022, 23 : 4279 - 4318