Importance of including small body spin effects in the modelling of extreme and intermediate mass-ratio inspirals

Abstract

We explore the ability of future low-frequency gravitational wave detectors to measure the spin of stellar mass and intermediate mass black holes that inspiral onto super-massive Kerr black holes (SMBHs). We develop a kludge waveform model based on the equations of motion derived by Saijo et al. [Phys Rev D 58, 064005, 1998] for spinning BH binaries, augmented with spin-orbit and spin-spin couplings taken from perturbative and post-Newtonian (PN) calculations, and the associated conservative self-force corrections, derived by comparison to PN results. We model the inspiral phase using accurate fluxes which include perturbative corrections for the spin of the inspiralling body, spin-spin couplings and higher-order fits to solutions of the Teukolsky equation. We present results of Monte Carlo simulations of parameter estimation errors and of the model errors that arise when we omit conservative corrections from the waveform template. For a source 5000+10^6 solar mass observed with an SNR of 1000, LISA will be able to determine the two masses to within a fractional error of ~0.001, measure the SMBH spin magnitude, q, and the spin magnitude of the inspiralling BH to 0.0001, 10%, respectively, and determine the location of the source in the sky and the SMBH spin orientation to within 0.0001 steradians. For a 10+10^6 solar mass system observed with SNR of 30, LISA will not be able to determine the spin magnitude of the inspiralling BH, although the measurement of the other waveform parameters is not significantly degraded by the presence of spin. The model errors which arise from ignoring conservative corrections become significant for mass-ratios above 0.0001, but including these corrections up to 2PN order may be sufficient to reduce these systematic errors to an acceptable level.

24 pages, 11 figures. v2 mirrors published version in PRD. Edits in Sections V and VI in response to comments from referee

References in corpus (15)

• Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
• LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
• Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
• Observable Properties of Orbits in Exact Bumpy Spacetimes
• The Mock LISA Data Challenges: from Challenge 3 to Challenge 4
• The Mock LISA Data Challenges: from Challenge 1B to Challenge 3
• Triple Michelson Interferometer for a Third-Generation Gravitational Wave Detector
• Forced motion near black holes
• Self force on a scalar charge in Kerr spacetime: circular equatorial orbits
• Self force on a scalar charge in Kerr spacetime: eccentric equatorial orbits
• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
• A Constrained Metropolis-Hastings Search for EMRIs in the Mock LISA Data Challenge 1B
• Improved time-frequency analysis of extreme-mass-ratio inspiral signals in mock LISA data
• Intermediate-mass-ratio-inspirals in the Einstein Telescope: I. Signal-to-noise ratio calculations
• Intermediate-mass-ratio-inspirals in the Einstein Telescope. II. Parameter estimation errors

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