Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order

Details Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order

1996-03-26

arxiv.org/abs/gr-qc/9603048v2

Phys.Rev. D54 (1996) 1417-1438; Erratum-ibid. D71 (2005) 129904

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

39 pages, version which includes the correction of an Erratum to be published in Phys. Rev. D (2005)

Scientific paper

10.1103/PhysRevD.54.1417

This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiralling compact binary system to the five halves post-Newtonian (2.5PN) approximation of general relativity. Extending a recently developed gravitational-wave generation formalism valid for arbitrary (slowly-moving) systems, we compute the mass multipole moments of the system and the relevant tails present in the wave zone to 2.5PN order. In the case of two point-masses moving on a quasi-circular orbit, we find that the 2.5PN contribution in the energy loss rate is entirely due to tails. Relying on an energy balance argument we derive the laws of variation of the instantaneous frequency and phase of the binary. The 2.5PN order in the accumulated phase is significantly large, being grossly of the same order of magnitude as the previous 2PN order, but opposite in sign. However finite mass effects at 2.5PN order are small. The results of this paper should be useful when analyzing the data from inspiralling compact binaries in future gravitational-wave detectors like VIRGO and LIGO.

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