Evolution equations for gravitating ideal fluid bodies in general relativity

被引:46
作者
Friedrich, H [1 ]
机构
[1] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14473 Potsdam, Germany
来源
PHYSICAL REVIEW D | 1998年 / 57卷 / 04期
关键词
D O I
10.1103/PhysRevD.57.2317
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of sound and the specific enthalpy are positive. Using a Lagrangian description of the fluid flow, we obtain evolution equations which are symmetric hyperbolic. Pressure free matter is discussed as a simple subcase.
引用
收藏
页码:2317 / 2322
页数:6
相关论文
共 9 条
[1]  
[Anonymous], 1967, RELATIVISTIC HYDRODY
[2]  
ELLIS FR, 1971, GEN RELATIVITY COSMO
[3]  
Foures-Bruhat Y., 1958, B SOC MATH FR, V86, P155, DOI DOI 10.24033/BSMF.1502
[4]   Hyperbolic reductions for Einstein's equations [J].
Friedrich, H .
CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (06) :1451-1469
[5]   SYMMETRIC HYPERBOLIC LINEAR DIFFERENTIAL EQUATIONS [J].
FRIEDRICHS, KO .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1954, 7 (02) :345-392
[6]   INITIAL-BOUNDARY VALUE-PROBLEM FOR THE SPHERICALLY SYMMETRICAL EINSTEIN EQUATIONS FOR A PERFECT FLUID [J].
KIND, S ;
EHLERS, J .
CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (10) :2123-2136
[7]  
KIND S, 1991, THESIS MUNICH U
[8]  
MAKINO T, 1986, PATTERNS WAVES
[9]   THE INITIAL-VALUE PROBLEM FOR A CLASS OF GENERAL RELATIVISTIC FLUID BODIES [J].
RENDALL, AD .
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (03) :1047-1053