Computational Efficiency of Frequency- and Time-Domain Calculations of Extreme Mass-Ratio Binaries: Equatorial Orbits - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: Gravitational waveforms and fluxes from extreme mass-ratio inspirals can becomputed using time-domain methods with accuracy that is fast approaching thatof frequency-domain methods. We study in detail the computational efficiencyof these methods for equatorial orbits of fast spinning Kerr black holes, andfind the number of modes needed in either method -as functions of the orbitalparameters- in order to achieve a desired accuracy level. We then estimate thetotal computation time and argue that for high eccentricity orbits thetime-domain approach is more efficient computationally. We suggest that inpractice low-$m$ modes are computed using the frequency-domain approach, andhigh-$m$ modes are computed using the time-domain approach, where $m$ is theazimuthal mode number.



Author: Jonathan L. Barton, David J. Lazar, Daniel J. Kennefick, Gaurav Khanna, Lior M. Burko

Source: https://arxiv.org/







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