Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-08-11
Phys.Rev. D72 (2005) 084009; Erratum Phys.Rev. D74 (2006) 109901
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, 12 figures; v2: revised manuscript includes small changes to make paper consistent with published version; v3: a sta
Scientific paper
10.1103/PhysRevD.72.084009
The capture of compact bodies by black holes in galactic nuclei is an important prospective source for low frequency gravitational wave detectors, such as the planned Laser Interferometer Space Antenna. This paper calculates, using a semirelativistic approximation, the total energy and angular momentum lost to gravitational radiation by compact bodies on very high eccentricity orbits passing close to a supermassive, nonspinning black hole; these quantities determine the characteristics of the orbital evolution necessary to estimate the capture rate. The semirelativistic approximation improves upon treatments which use orbits at Newtonian-order and quadrupolar radiation emission, and matches well onto accurate Teukolsky simulations for low eccentricity orbits. Formulae are presented for the semirelativistic energy and angular momentum fluxes as a function of general orbital parameters.
Gair Jonathan R.
Kennefick Daniel J.
Larson Shane L.
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