Energy losses by gravitational radiation in inspiraling compact binaries to 5/2 post-Newtonian order

被引:143
作者
Blanchet, L
机构
[1] Département d'Astrophysique Relativiste et de Cosmologie, Observatoire de Paris, Meudon Cedex
关键词
D O I
10.1103/PhysRevD.54.1417
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiraling compact binary system to the 5/2 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 quasicircular orbit, we find that the 2.5PN contribution in the energy loss rate is entirely due tb 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 inspiraling compact binaries in future gravitational-wave detectors such as VIRGO and LIGO.
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页码:1417 / 1438
页数:22
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