Surface-integral expressions for the multipole moments of post-Newtonian sources and the boosted Schwarzschild solution

被引:15
作者
Blanchet, L
Damour, T
Iyer, BR
机构
[1] CNRS, Inst Astrophys Paris, GReCO, F-75014 Paris, France
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
[3] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France
[4] Raman Res Inst, Bangalore 560080, Karnataka, India
关键词
D O I
10.1088/0264-9381/22/1/011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
New expressions for the multipole moments of an isolated post-Newtonian source, in the form of surface integrals in the outer near-zone, are derived. As an application we compute the 'source' quadrupole moment of a Schwarzschild solution boosted to uniform velocity, at the third post-Newtonian (3PN) order. We show that the consideration of this boosted Schwarzschild solution (BSS) is enough to uniquely determine one of the ambiguity parameters in the recent computation of the gravitational wave generation by compact binaries at 3PN order: zeta = -7/33. We argue that this value is the only one for which the Poincare invariance of the 3PN wave generation formalism is realized. As a check, we confirm the value of by a different method, based on the far-zone expansion of the BSS at fixed retarded time, and a calculation of the relevant nonlinear multipole interactions in the external metric at the 3PN order.
引用
收藏
页码:155 / 181
页数:27
相关论文
共 40 条
[1]   GRAVITATIONAL-WAVES FROM INSPIRALLING COMPACT BINARIES - ENERGY-LOSS AND WAVE-FORM TO 2ND-POST-NEWTONIAN ORDER [J].
BLANCHET, L ;
DAMOUR, T .
PHYSICAL REVIEW D, 1995, 51 (10) :5360-5386
[2]   Energy losses by gravitational radiation in inspiraling compact binaries to 5/2 post-Newtonian order [J].
Blanchet, L .
PHYSICAL REVIEW D, 1996, 54 (02) :1417-1438
[3]   On the equations of motion of point-particle binaries at the third post-Newtonian order [J].
Blanchet, L ;
Faye, G .
PHYSICS LETTERS A, 2000, 271 (1-2) :58-64
[4]   Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order -: art. no. 091101 [J].
Blanchet, L ;
Damour, T ;
Esposito-Farèse, G ;
Iyer, BR .
PHYSICAL REVIEW LETTERS, 2004, 93 (09) :091101-1
[5]   Quadrupole-quadrupole gravitational waves [J].
Blanchet, L .
CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (01) :89-111
[6]   Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates -: art. no. 124007 [J].
Blanchet, L ;
Damour, T ;
Esposito-Farèse, G .
PHYSICAL REVIEW D, 2004, 69 (12)
[7]  
BLANCHET L, 1989, ANN I H POINCARE-PHY, V50, P377
[8]   Gravitational-wave inspiral of compact binary systems to 7/2 post-Newtonian order [J].
Blanchet, L ;
Faye, G ;
Iyer, BR ;
Joguet, B .
PHYSICAL REVIEW D, 2002, 65 (06)
[9]  
BLANCHET L, 1986, PHILOS T R SOC A, V320, P380
[10]   General relativistic dynamics of compact binaries at the third post-Newtonian order [J].
Blanchet, L ;
Faye, G .
PHYSICAL REVIEW D, 2001, 63 (06)