Computational Efficiency of Frequency-- and Time--Domain Calculations of Extreme Mass--Ratio Binaries: Equatorial Orbits

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dc.creatorBarton, Jonathan L.
dc.creatorLazar, David J.
dc.creatorKennefick, Daniel J.
dc.creatorKhanna, Gaurav
dc.creatorBurko, Lior M.
dc.date2008-04-07
dc.date.accessioned2026-07-07T12:14:22Z
dc.date.available2026-07-07T12:14:22Z
dc.descriptionGravitational 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.
dc.description19 figures, 6 tables
dc.identifierhttps://arxiv.org/abs/0804.1075
dc.identifierhttp://arxiv.org/abs/0804.1075
dc.identifierPhys.Rev.D78:064042,2008
dc.identifierdoi:10.1103/PhysRevD.78.064042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211166
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleComputational Efficiency of Frequency-- and Time--Domain Calculations of Extreme Mass--Ratio Binaries: Equatorial Orbits
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