General relativistic magnetohydrodynamics for the numerical construction of dynamical spacetimes

被引:58
作者
Baumgarte, TW
Shapiro, SL
机构
[1] Bowdoin Coll, Dept Phys & Astron, Brunswick, ME 04011 USA
[2] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[3] Univ Illinois, Dept Astron, Urbana, IL 61801 USA
[4] Univ Illinois, NCSA, Urbana, IL 61801 USA
基金
美国国家科学基金会;
关键词
MHD; relativity;
D O I
10.1086/346103
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3 + 1 form. These consist of the complete coupled set of Maxwell's equations for the electromagnetic field, Einstein's equations for the gravitational field, and the equations of relativistic MHD for a perfectly conducting ideal gas. The adopted form of the equations is suitable for evolving numerically a relativistic MHD fluid in a dynamical spacetime characterized by a strong gravitational field.
引用
收藏
页码:921 / 929
页数:9
相关论文
共 53 条
[1]   Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity -: art. no. 124011 [J].
Alcubierre, M ;
Allen, G ;
Brügmann, B ;
Seidel, E ;
Suen, WM .
PHYSICAL REVIEW D, 2000, 62 (12) :1-15
[2]   Fixing Einstein's equations [J].
Anderson, A ;
York, JW .
PHYSICAL REVIEW LETTERS, 1999, 82 (22) :4384-4387
[3]   On the relevance of the r-mode instability for accreting neutron stars and white dwarfs [J].
Andersson, N ;
Kokkotas, KD ;
Stergioulas, N .
ASTROPHYSICAL JOURNAL, 1999, 516 (01) :307-314
[4]   A new class of unstable modes of rotating relativistic stars [J].
Andersson, N .
ASTROPHYSICAL JOURNAL, 1998, 502 (02) :708-713
[5]  
Arnowitt R. L., 1962, GRAVITATION INTRO CU
[6]  
ARRAS P, 2002, UNPUB APJ
[7]   Evolution of rotating supermassive stars to the onset of collapse [J].
Baumgarte, TW ;
Shapiro, SL .
ASTROPHYSICAL JOURNAL, 1999, 526 (02) :941-952
[8]   Collapse of a magnetized star to a black hole [J].
Baumgarte, TW ;
Shapiro, SL .
ASTROPHYSICAL JOURNAL, 2003, 585 (02) :930-947
[9]   On the maximum mass of differentially rotating neutron stars [J].
Baumgarte, TW ;
Shapiro, SL ;
Shibata, M .
ASTROPHYSICAL JOURNAL, 2000, 528 (01) :L29-L32
[10]   Numerical integration of Einstein's field equations [J].
Baumgarte, TW ;
Shapiro, SL .
PHYSICAL REVIEW D, 1999, 59 (02)