Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-04-07
Phys.Rev.D78:064042,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 figures, 6 tables
Scientific paper
10.1103/PhysRevD.78.064042
Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in detail the computational efficiency of these methods for equatorial orbits of fast spinning Kerr black holes, and find the number of modes needed in either method --as functions of the orbital parameters-- in order to achieve a desired accuracy level. We then estimate the total computation time and argue that for high eccentricity orbits the time--domain approach is more efficient computationally. We suggest that in practice low--$m$ modes are computed using the frequency--domain approach, and high--$m$ modes are computed using the time--domain approach, where $m$ is the azimuthal mode number.
Barton Jonathan L.
Burko Lior M.
Kennefick Daniel J.
Khanna Gaurav
Lazar David J.
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