Second-post-Newtonian generation of gravitational radiation

Details Second-post-Newtonian generation of gravitational radiation Second-post-Newtonian generation of gravitational radiation

1995-01-24

arxiv.org/abs/gr-qc/9501030v1

Phys.Rev.D51:2559-2583,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

58 pages, LaTeX-ReVTeX, no figures

Scientific paper

10.1103/PhysRevD.51.2559

This paper derives the expressions of the multipole moments of an isolated gravitating source with an accuracy corresponding to the second post-Newtonian (2-PN) approximation of general relativity. The moments are obtained by a procedure of matching of the external gravitational field of the source to the inner field, and are found to be given by integrals extending over the stress-energy distribution of the matter fields and the gravitational field. Although this is not manifest on their expressions, the moments have a compact support limited to the material source only (they are thus perfectly well-defined mathematically). From the multipole moments we deduce the expressions of the asymptotic gravitational waveform and associated energy generated by the source at the 2-PN approximation. This work, together with a forthcoming work devoted to the application to coalescing compact binaries, will be used in the future observations of gravitational radiation by laser interferometric detectors.

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