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Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

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...

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Autor principal: Blanchet, Luc
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2006
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5255899/
https://www.ncbi.nlm.nih.gov/pubmed/28179874
http://dx.doi.org/10.12942/lrr-2006-4
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author Blanchet, Luc
author_facet Blanchet, Luc
author_sort Blanchet, Luc
collection PubMed
description 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 nonlinear 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.
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spelling pubmed-52558992017-02-06 Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries Blanchet, Luc Living Rev Relativ Review Article 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 nonlinear 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. Springer International Publishing 2006-06-01 2006 /pmc/articles/PMC5255899/ /pubmed/28179874 http://dx.doi.org/10.12942/lrr-2006-4 Text en © The Author(s) 2006
spellingShingle Review Article
Blanchet, Luc
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
title Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
title_full Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
title_fullStr Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
title_full_unstemmed Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
title_short Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
title_sort gravitational radiation from post-newtonian sources and inspiralling compact binaries
topic Review Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5255899/
https://www.ncbi.nlm.nih.gov/pubmed/28179874
http://dx.doi.org/10.12942/lrr-2006-4
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