From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics

被引:0
|
作者
Kinasiewicz, Bogusz [1 ]
Mach, Patryk [1 ]
机构
[1] Jagiellonian Univ, M Smoluchowski Inst Phys, PL-30059 Krakow, Poland
来源
ACTA PHYSICA POLONICA B | 2007年 / 38卷 / 01期
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two general-relativistic hydrodynamical models are considered: a model of self-gravitating static configurations of perfect fluid and a model of steady accretion of fluid onto a black hole. We generalise analytic results obtained for the original polytropic versions of these models onto a wider class of barotropic equations of state. The knowledge about the polytropic solutions is used to establish bounds on certain characteristic quantities appearing in both cases.
引用
收藏
页码:39 / 60
页数:22
相关论文
共 50 条
  • [21] THE HAMILTONIAN-STRUCTURE OF GENERAL RELATIVISTIC PERFECT FLUIDS
    BAO, D
    MARSDEN, J
    WALTON, R
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 99 (03) : 319 - 345
  • [22] STABILITY OF GENERAL-RELATIVISTIC POLYTROPES
    BLUDMAN, SA
    ASTROPHYSICAL JOURNAL, 1973, 183 (02): : 637 - 648
  • [23] GENERAL-RELATIVISTIC PERIASTRON ADVANCES
    KOCH, RH
    ASTROPHYSICAL JOURNAL, 1973, 183 (01): : 275 - 277
  • [24] NONSTATIONARY GENERAL-RELATIVISTIC STRINGS
    SHAVER, E
    LAKE, K
    PHYSICAL REVIEW D, 1989, 40 (10): : 3287 - 3301
  • [25] Discontinuous Galerkin methods for general-relativistic hydrodynamics: Formulation and application to spherically symmetric spacetimes
    Radice, David
    Rezzolla, Luciano
    PHYSICAL REVIEW D, 2011, 84 (02):
  • [26] A GENERAL-RELATIVISTIC COLLISIONLESS PLASMA
    SCHWARTZ, M
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1970, 67 (02): : 121 - &
  • [27] Potentials for general-relativistic geodesy
    Laemmerzahl, Claus
    Perlick, Volker
    PHYSICAL REVIEW D, 2024, 109 (04)
  • [28] NONSINGULAR GENERAL-RELATIVISTIC COSMOLOGIES
    BEKENSTEIN, JD
    PHYSICAL REVIEW D, 1975, 11 (08): : 2072 - 2075
  • [29] General-relativistic spin system
    Artigas, Danilo
    Bilski, Jakub
    Crowe, Sean
    Mielczarek, Jakub
    Trzesniewski, Tomasz
    PHYSICAL REVIEW D, 2020, 102 (12)
  • [30] On numerical relativistic hydrodynamics and barotropic equations of state
    Maria Ibanez, Jose
    Cordero-Carrion, Isabel
    Antonio Miralles, Juan
    CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (15)