Symmetric hyperbolic systems for Bianchi equations

被引:14
作者
Bonilla, MAG
机构
[1] Univ Barcelona, Dept Fis Fonamental, E-08028 Barcelona, Spain
[2] IEC, Societat Catalana Fis, Lab Fis Matemat, Barcelona, Spain
关键词
D O I
10.1088/0264-9381/15/7/014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We obtain a family of first-order symmetric hyperbolic systems for the Bianchi equations. They have only physical characteristics: the light cone and timelike hypersurfaces. In the proof of the hyperbolicity, new positivity properties of the Bel tensor are used.
引用
收藏
页码:2001 / 2005
页数:5
相关论文
共 9 条
[1]  
ANDERSON A, 1997, IN PRESS TOPOLOGICAL
[2]  
BEL L, 1959, CR HEBD ACAD SCI, V248, P1297
[3]   Positivity properties of the Bel-Robinson tensor [J].
Bergqvist, G .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (04) :2141-2147
[4]   NEW FORMALISM FOR NUMERICAL RELATIVITY [J].
BONA, C ;
MASSO, J ;
SEIDEL, E ;
STELA, J .
PHYSICAL REVIEW LETTERS, 1995, 75 (04) :600-603
[5]   Hyperbolic reductions for Einstein's equations [J].
Friedrich, H .
CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (06) :1451-1469
[6]   SYMMETRIC HYPERBOLIC LINEAR DIFFERENTIAL EQUATIONS [J].
FRIEDRICHS, KO .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1954, 7 (02) :345-392
[7]  
Geroch R.:, 1995, GEN RELATIVITY
[8]  
Lichnerowicz A, 1960, ANN MAT PUR APPL, V50, P1
[9]  
Penrose R., 1986, Spinor and twistor methods in space-time geometry, V2