Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
arXiv:2310.08438 · doi:10.1103/PhysRevD.109.064030
Abstract
Understanding the orbits of spinning bodies in curved spacetime is important for modeling binary black hole systems with small mass ratios. At zeroth order in mass ratio, the smaller body moves on a geodesic. Post-geodesic effects are needed to model the system accurately. One very important post-geodesic effect is the gravitational self-force, which describes the small body's interaction with its own contribution to a binary's spacetime. Another post-geodesic effect, the spin-curvature force, is due to the smaller body's spin coupling to spacetime curvature. In this paper, we combine the leading orbit-averaged backreaction of point-particle gravitational-wave emission with the spin-curvature force to construct the worldline and gravitational waveform for a spinning body spiraling into a Kerr black hole. We use an osculating geodesic integrator, which treats the worldline as evolution through a sequence of geodesic orbits, as well as near-identity transformations, which eliminate dependence on orbital phases, allowing for fast computation of inspirals. The resulting inspirals and waveforms include all critical dynamical effects which govern such systems (orbit and precession frequencies, inspiral, strong-field gravitational-wave amplitudes), and as such form an effective first model for the inspiral of spinning bodies into Kerr black holes. We emphasize that our present calculation is not self consistent, since we neglect effects which enter at the same order as effects we include. However, our analysis demonstrates that the impact of spin-curvature forces can be incorporated into EMRI waveform tools with relative ease. The calculation is sufficiently modular that it should not be difficult to include neglected post-geodesic effects as efficient tools for computing them become available. (Abridged)
38 pages, including 17 pages of Appendices, 13 figures. Submitted to Physics Review D. This posting and submission supersedes arXiv:2305.08919, in response to helpful critical referee feedback
References in corpus (34)
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
- Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
- Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
- Gravitational wave snapshots of generic extreme mass ratio inspirals
- FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
- Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
- Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
- Gravitational waveforms for compact binaries from second-order self-force theory
- Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
- Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
- Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
- Gravitational-wave energy flux for compact binaries through second order in the mass ratio
- Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
- Forced motion near black holes
- Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
- Evolution of small-mass-ratio binaries with a spinning secondary
- Self-force corrections to the periapsis advance around a spinning black hole
- Self-Force Calculations with a Spinning Secondary
- Importance of transient resonances in extreme-mass-ratio inspirals
- Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Comparing second-order gravitational self-force and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries II: the large-mass-ratio case
- Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
- Second-order gravitational self-force in a highly regular gauge
- Prospects for determining the nature of the secondaries of extreme mass-ratio inspirals using the spin-induced quadrupole deformation
- Modeling transient resonances in extreme-mass-ratio inspirals
- Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
- Complete set of quasi-conserved quantities for spinning particles around Kerr
- Generalized Carter constant for quadrupolar test bodies in Kerr spacetime
- Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
- Highly eccentric EMRI waveforms via fast self-forced inspirals
- Particle motion under the conservative piece of the self-force is Hamiltonian
- Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin
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- Flux-balance laws for spinning bodies under the gravitational self-force
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- Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
- Secondary spins of extreme mass ratio inspirals: A probe to the formation channels
- Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
- Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
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- Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates
- Gravitational Wave Signatures of Quasi-Periodic Eruptions: LISA Detection Prospects for RX J1301.9+2747
- When vacuum breaks: a self-consistency test for astrophysical environments in extreme mass ratio inspirals
- Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane