Eccentric gravitational wave bursts in the post-Newtonian formalism

被引:33
作者
Loutrel, Nicholas [1 ]
Yunes, Nicolas [1 ]
机构
[1] Montana State Univ, Dept Phys, eXtreme Grav Inst, Bozeman, MT 59717 USA
基金
美国国家科学基金会;
关键词
post-Newtonian approximation; eccentric binaries; gravitational waves; BLACK-HOLE MERGERS; RELATIVISTIC CELESTIAL MECHANICS; BINARY-SYSTEMS; HYDRODYNAMICS; RADIATION; EQUATIONS; DYNAMICS; ORBITS;
D O I
10.1088/1361-6382/aa7449
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The detection of GW150914 by ground based gravitational wave observatories has brought about a new era in astrophysics. At optimal sensitivity, these observatories are expected to detect several events each year, with one or two of these occurring with non-negligible eccentricity. Such eccentric binaries will emit bursts of gravitational radiation during every pericenter passage, where orbital velocities can reach greater than ten percent the speed of light. As a result, such binaries may prove to be powerful probes of extreme gravitational physics and astrophysics. A promising method of achieving detection of such binaries is through power stacking, where the power in each burst is added up in time-frequency space. This detection strategy requires a theoretical prior of where the bursts will occur in time and frequency so that one knows where to search for successive bursts. We here present a generic post-Newtonian formalism for constructing such time-frequency model priors at generic post-Newtonian order. We apply our formalism to generate a burst model at third post-Newtonian order, making it potentially the most accurate, fully analytic model to date.
引用
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页数:43
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