Eccentric self-forced inspirals into a rotating black hole

Abstract

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for eccentric, equatorial (i.e., spin-aligned) motion in Kerr spacetime. The forcing terms are provided by an efficient spectral interpolation of the first-order gravitational self-force in the outgoing radiation gauge. We apply a near-identity (averaging) transformation to eliminate all dependence of the orbital phases from the equations of motion, while maintaining all secular effects of the first-order gravitational self-force at post-adiabatic order. This implies that the model can be evolved without having to resolve all $\mathcal{O}(10^5)$ orbit cycles of an EMRI, yielding an inspiral model that can be evaluated in less than a second for any mass-ratio. In the case of a non-rotating central black hole, we compare inspirals evolved using self-force data computed in the Lorenz and radiation gauges. We find that the two gauges generally produce differing inspirals with a deviation of comparable magnitude to the conservative self-force correction. This emphasizes the need for including the (currently unknown) dissipative second order self-force to obtain gauge independent, post-adiabatic waveforms.

arXiv comment46 pages, 12 figures

References in corpus (90)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• The motion of point particles in curved spacetime
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
• Gravitational Radiation Reaction to a Particle Motion
• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• Self-force and radiation reaction in general relativity
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• Self-force via a Green's function decomposition
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Gravitational self force in extreme mass-ratio inspirals
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission: II. Inspiral trajectories and gravitational waveforms
• Mode sum regularization approach for the self-force in black hole spacetime
• Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
• The Transition from Inspiral to Plunge for a Compact Body in a Circular Equatorial Orbit Around a Massive, Spinning Black Hole
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
• Periastron Advance in Black-Hole Binaries
• Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
• Second-order self-force calculation of the gravitational binding energy in compact binaries
• Approximating the inspiral of test bodies into Kerr black holes
• The Fast and the Fiducial: Augmented kludge waveforms for detecting extreme-mass-ratio inspirals
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Gravitational self force on a particle in circular orbit around a Schwarzschild black hole
• The Mock LISA Data Challenges: from Challenge 3 to Challenge 4
• Evolution of inspiral orbits around a Schwarzschild black hole
• Rotating black hole orbit functionals in the frequency domain
• 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
• Transient resonances in the inspirals of point particles into black holes
• Gravitational self-force on generic bound geodesics in Kerr spacetime
• Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole
• 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
• Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
• Gravitational self force and gauge transformations
• Analytic Solutions of the Teukolsky Equation and their Properties
• Two approaches for the gravitational self force in black hole spacetime: Comparison of numerical results
• New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation
• Highly eccentric inspirals into a black hole
• An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole
• Black hole perturbation theory and gravitational self-force
• Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
• Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
• The location of the last stable orbit in Kerr spacetime
• Gravitational self-force from radiation-gauge metric perturbations
• Forced motion near black holes
• Observing mergers of non-spinning black-hole binaries
• Evolution of small-mass-ratio binaries with a spinning secondary
• Fast Self-forced Inspirals
• Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
• Self-force corrections to the periapsis advance around a spinning black hole
• Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
• Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
• Importance of transient resonances in extreme-mass-ratio inspirals
• Completion of metric reconstruction for a particle orbiting a Kerr black hole
• Self force on a scalar charge in Kerr spacetime: eccentric equatorial orbits
• Improved analytic extreme-mass-ratio inspiral model for scoping out eLISA data analysis
• Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
• Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
• Self-consistent orbital evolution of a particle around a Schwarzschild black hole
• Resonantly enhanced and diminished strong-field gravitational-wave fluxes
• Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
• Conditions for Sustained Orbital Resonances in Extreme Mass Ratio Inspirals
• Frequency-domain algorithm for the Lorenz-gauge gravitational self-force
• Assessing the impact of transient orbital resonances
• Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
• Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
• The Mock LISA Data Challenges: An overview
• A Fast Frequency-Domain Algorithm for Gravitational Self-Force: I, Circular Orbits in Schwarzschild Spacetime
• Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
• Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
• New Kludge Scheme for the Construction of Approximate Waveforms for Extreme-Mass-Ratio Inspirals
• The mass and angular momentum of reconstructed metric perturbations
• Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform
• Gauge and motion in perturbation theory
• Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits
• Self-consistent adiabatic inspiral and transition motion
• Self-force from reconstructed metric perturbations: numerical implementation in Schwarzschild spacetime
• Is motion under the conservative self-force in black hole spacetimes an integrable Hamiltonian system?
• Transition of EMRIs through resonance: corrections to higher order in the on-resonance flux modification
• The transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits

Cited by in corpus (8)

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• Extreme-mass-ratio burst detection with TianQin
• New self-force method via elliptic partial differential equations for Kerr inspiral models
• Action-Angle formalism for extreme mass ratio inspirals in Kerr spacetime
• Approach to the separatrix with eccentric orbits
• Regularization of a scalar charged particle for generic orbits in Kerr spacetime