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Article
Semi-Relativistic Approximation to Gravitational Radiation from Encounters with Non-Spinning Black Holes
Physical Review D
  • Jonathan R. Gair
  • Daniel J. Kennefick
  • Shane L. Larson, Utah State University
Document Type
Article
Publication Date
1-1-2005
DOI
10.1103/PhysRevD.72.084009
Arxiv Identifier
arXiv:gr-qc/0508049v3
Abstract
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. Formulas are presented for the semirelativistic energy and angular momentum fluxes as a function of general orbital parameters.
Comments
See also: Erratum: Jonathan R. Gair, Daniel J. Kennefick, and Shane L. Larson, Erratum: Semirelativistic approximation to gravitational radiation from encounters with nonspinning black holes [Phys. Rev. D 72, 084009 (2005)], Phys. Rev. D 74, 109901 (2006).

Published by American Physical Society in Physical Review D. Publisher version is available through link above.

Citation Information
Jonathan R. Gair, Daniel J. Kennefick, and Shane L. Larson, Semirelativistic approximation to gravitational radiation from encounters with nonspinning black holes, Phys. Rev. D 72, 084009 (2005).