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Prog. Theor. Phys. Supplement No.136 (1999) pp. 146-157

[ Full Text PDF : FREE ACCESS (145K) ]

Post-Newtonian Expansion of Gravitational Radiation

Luc Blanchet*

Département d'Astrophysique Relativiste et de Cosmologie
Centre National de la Recherche Scientifique (UMR 8629)
Observatoire de Paris, 92195 Meudon Cedex, France

(Received September 29, 1999)

Abstract:

The post-Newtonian expansion appears to be a relevant tool for predicting the gravitational waveforms generated by some astrophysical systems such as binaries. In particular, inspiralling compact binaries are well-modelled by a system of two point-particles moving on a quasi-circular orbit whose decay by emission of gravitational radiation is described by a post-Newtonian expansion. In this paper we summarize the basics of the computation by means of a series of multipole moments of the exterior field generated by an isolated source in the post-Newtonian approximation. This computation relies on an ansatz of matching the exterior multipolar field to the inner field of a slowly-moving source. The formalism can be applied to point-particles at the price of a further ansatz, that the infinite self-field of point-particles can be regularized in a certain way. As it turns out, the concept of point-particle requires a precise definition in high post-Newtonian approximations of general relativity.


URL : http://ptp.ipap.jp/link?PTPS/136/146/
DOI : 10.1143/PTPS.136.146


*E-mail address: Luc.Blanchet@obspm.fr

[ Full Text PDF : FREE ACCESS (145K) ] Citation:

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