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Journal Article

Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole

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Buonanno,  A.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
Maryland Astronomy Center for Theory and Computation & Joint Space-Science Institute, Department of Astronomy, University of Maryland;

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Fulltext (public)

1009.6013.pdf
(Preprint), 872KB

PhysRevD.83.044044.pdf
(Any fulltext), 848KB

Erratum.pdf
(Any fulltext), 27KB

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Citation

Yunes, N., Buonanno, A., Hughes, S. A., Pan, Y., Barausse, E., Miller, M. C., et al. (2011). Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole. Physical Review D, 83(4): 044044. doi:10.1103/PhysRevD.83.044044.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0023-F7F1-9
Abstract
We construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, 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 radian 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 radians in a one year evolution. These corrections are usually one order of magnitude larger than those introduced by the spin of the small object in a one year evolution. These results suggest that the effective-one-body approach for extreme mass ratio inspirals is a good compromise between accuracy and computational price for LISA data analysis purposes.