Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries

Abstract

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in Schwarzschild and Kerr, we find agreement to within 1% or better, which we believe can be even further improved. We apply our method to orbits for which frequency-domain calculations have a relative disadvantage, specifically high-eccentricity (elliptical and parabolic) "zoom-whirl" orbits, and find the energy fluxes, waveforms, and characteristic strain in gravitational waves.

6 pages, 9 figures, 2 tables; Changes: some errors corrected. Comparison with Frequency-domain now done in stronger field

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Cited by in corpus (31)

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• The TianQin project: current progress on science and technology
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• Test bodies and naked singularities: is the self-force the cosmic censor?
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• Zoom-Whirl Orbits in Black Hole Binaries
• Testing the Cosmic Censorship Conjecture with point particles: the effect of radiation reaction and the self-force
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• Regularization of fields for self-force problems in curved spacetime: foundations and a time-domain application
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• Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions
• m-Mode Regularization Scheme for the Self Force in Kerr Spacetime
• Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
• Observing the Galaxy's massive black hole with gravitational wave bursts
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• Numerical modeling of gravitational wave sources accelerated by OpenCL
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• Excitation of Kerr quasinormal modes in extreme--mass-ratio inspirals
• A spectral collocation approximation for the radial-infall of a compact object into a Schwarzschild black hole
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• Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter
• Comparing numerical relativity and perturbation theory waveforms for a non-spinning equal-mass binary