Vol. 9 (2006) > lrr-2006-4

doi: 10.12942/lrr-2006-4
Living Rev. Relativity 9 (2006), 4

Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

1 Institut d'Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

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Article Abstract

The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian sources. The exterior field of the source is investigated by means of a combination of analytic post-Minkowskian and multipolar approximations. The physical observables in the far-zone of the source are described by a specific set of radiative multipole moments. By matching the exterior solution to the metric of the post-Newtonian source in the near-zone we obtain the explicit expressions of the source multipole moments. The relationships between the radiative and source moments involve many non-linear multipole interactions, among them those associated with the tails (and tails-of-tails) of gravitational waves. Part B of the article is devoted to the application to compact binary systems. We present the equations of binary motion, and the associated Lagrangian and Hamiltonian, at the third post-Newtonian (3PN) order beyond the Newtonian acceleration. The gravitational-wave energy flux, taking consistently into account the relativistic corrections in the binary moments as well as the various tail effects, is derived through 3.5PN order with respect to the quadrupole formalism. The binary's orbital phase, whose prior knowledge is crucial for searching and analyzing the signals from inspiralling compact binaries, is deduced from an energy balance argument.

Keywords: gravitational radiation, post-Newtonian approximation, multipolar expansion, inspiralling compact binary

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Article Citation

Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Luc Blanchet,
"Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries",
Living Rev. Relativity 9,  (2006),  4. URL (cited on <date>):
http://www.livingreviews.org/lrr-2006-4

Article History

ORIGINAL http://www.livingreviews.org/lrr-2002-3
Title Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Author Luc Blanchet
Date accepted 1 February 2002, published 30 April 2002
FAST-TRACK REVISION  
Date accepted 6 June 2005, published 27 June 2005
Changes For detailed description see here .
UPDATE http://www.livingreviews.org/lrr-2006-4
Title Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Author Luc Blanchet
Date accepted 16 May 2006, published 1 June 2006
Changes Updated article and added 65 references. Included new sections 5.5, 8.3, 8.4, 9.4, 9.5, and 9.6.
UPDATE http://www.livingreviews.org/lrr-2014-2
Title Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Author Luc Blanchet
Date accepted 27 January 2014, published 13 February 2014
Changes Major revision, updated and expanded. About 180 new references.
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