Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order

被引：137

作者：

Blanchet, L ^{[1
]}

Faye, C ^{[1
]}

Ponsot, B ^{[1
]}

机构：

[1] Observ Paris, CNRS, UPR 176, Dept Astrophys Relativiste & Cosmol, F-92195 Meudon, France

来源：

PHYSICAL REVIEW D | 1998年 / 58卷 / 12期

关键词：

D O I：

10.1103/PhysRevD.58.124002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian gravitational field might be used in the problem of initial conditions for the numerical evolution of binary black-hole space-times. On the other hand, we recover the Damour-Deruelle 2.5PN equations of motion of compact binary systems. Our method is based on an expression of the post-Newtonian metric valid for general (continuous) fluids. We substitute into the fluid metric the standard stress-energy tensor appropriate for a system of two pointlike particles. We remove systematically the infinite self-field of each particle by means of the Hadamard finite part regularization. [S0556-2821(98)08820-1].

引用

页数：20

共 46 条

[11] ON THE ORBITAL PERIOD CHANGE OF THE BINARY PULSAR PSR-1913+16 [J].

DAMOUR, T ;

TAYLOR, JH .

ASTROPHYSICAL JOURNAL, 1991, 366 (02) :501-511

[12]

Damour T., 1983, Gravitational Radiation. NATO Advanced Study Institute, Les Houches Summer School, P59

[13] RADIATION REACTION AND ANGULAR-MOMENTUM LOSS IN SMALL-ANGLE GRAVITATIONAL SCATTERING [J].

DAMOUR, T ;

DERUELLE, N .

PHYSICS LETTERS A, 1981, 87 (03) :81-84

[14]

DAMOUR T, 1981, CR ACAD SCI II, V293, P537

[15] GRAVITATIONAL-RADIATION REACTION IN THE BINARY PULSAR AND THE QUADRUPOLE-FORMULA CONTROVERSY [J].

DAMOUR, T .

PHYSICAL REVIEW LETTERS, 1983, 51 (12) :1019-1021

[16] LAGRANGIANS FOR N POINT MASSES AT THE 2ND POST-NEWTONIAN APPROXIMATION OF GENERAL-RELATIVITY [J].

DAMOUR, T ;

SCHAFER, G .

GENERAL RELATIVITY AND GRAVITATION, 1985, 17 (09) :879-905

[17]

DAMOUR T, UNPUB

[18]

DAMOUR T, 1988, P 5 M GROSSM M GEN R, P451

[19]

DERUELLE N, 1982, THESIS U PARIS

[20]

EDDINGTON AS, 1965, MATH THEORY RELATIVI

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