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Extreme mass-ratio inspirals in the effective-one-body approach



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PHYSICAL REVIEW D 83 044044 2011 Extreme mass ratio inspirals in the effective one body approach Quasicircular equatorial orbits around a spinning black hole Nicola s Yunes 1 2 3 Alessandra Buonanno 4 Scott A Hughes 2 Yi Pan 4 Enrico Barausse 4 M Coleman Miller 5 and William Throwe2 1 Department of Physics Princeton University Princeton New Jersey 08544 USA 2 Department of Physics and MIT Kavli Institute MIT 77 Massachusetts Avenue Cambridge Massachusetts 02139 USA 3 Harvard Smithsonian Center for Astrophysics 60 Garden Street Cambridge Massachusetts 02138 USA 4 Maryland Center for Fundamental Physics Joint Space Science Institute Department of Physics University of Maryland College Park Maryland 20742 USA 5 Maryland Astronomy Center for Theory and Computation Joint Space Science Institute Department of Astronomy University of Maryland College Park Maryland 20742 USA Received 29 September 2010 published 24 February 2011 We construct effective one body waveform models suitable for data analysis with the Laser Interferometer Space Antenna for extreme mass ratio inspirals in quasicircular equatorial orbits about a spinning supermassive black hole The accuracy of our model is established through comparisons against frequency domain Teukolsky based waveforms in the radiative approximation The calibration of eight high order post Newtonian parameters in the energy flux suffices to obtain a phase and fractional amplitude agreement of better than 1 rad and 1 respectively over a period between 2 and 6 months depending on the system considered This agreement translates into matches higher than 97 over a period between 4 and 9 months depending on the system Better agreements can be obtained if a larger number of calibration parameters are included Higher order mass ratio terms in the effective one body Hamiltonian and radiation reaction introduce phase corrections of at most 30 rad in a 1 yr evolution These corrections are usually 1 order of magnitude larger than those



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