Modeling transient resonances in extreme-mass-ratio inspirals
arXiv:2205.04808 · doi:10.1103/PhysRevD.106.104001
Abstract
Extreme-mass-ratio inspirals are one of the most exciting and promising target sources for space-based interferometers (such as LISA, TianQin). The observation of their emitted gravitational waves will offer stringent tests on general theory of relativity, and provide a wealth of information about the dense environment in galactic centers. To unlock such potential, it is necessary to correctly characterize EMRI signals. However, resonances are a phenomena that occurs in EMRI systems and can impact parameter inference, and therefore the science outcome, if not properly modeled. Here, we explore how to model resonances and develop an efficient implementation. Our previous work has demonstrated that tidal resonances induced by the tidal field of a nearby astrophysical object alters the orbital evolution, leading to a significant dephasing across observable parameter space. Here, we extensively explore a more generic model for the tidal perturber with additional resonance combinations, to study the dependence of resonance strength on the intrinsic orbital and tidal parameters. To analyze the resonant signals, accurate templates that correctly incorporate the effects of the tidal field are required. The evolution through resonances is obtained using a step function, whose amplitude is calculated using an analytic interpolation of the resonance jumps. We benchmark this procedure by comparing our approximate method to a numerical evolution. We find that there is no significant error caused by this simplified prescription, as far as the astronomically reasonable range in the parameter space is concerned. Further, we use Fisher matrices to study both the measurement precision of parameters and the systematic bias due to inaccurate modeling. Modeling of self-force resonances can also be carried out using the implementation presented in this study, which will be crucial for EMRI waveform modeling.
arXiv comment18 pages, 14 figures
References in corpus (42)
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- The motion of point particles in curved spacetime
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
- Gravitational Radiation Reaction to a Particle Motion
- An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
- Self-force and radiation reaction in general relativity
- The TianQin project: current progress on science and technology
- Perturbative Approach to an orbital evolution around a Supermassive black hole
- Celestial mechanics in Kerr spacetime
- LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
- FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
- Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
- 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
- The Fast and the Fiducial: Augmented kludge waveforms for detecting extreme-mass-ratio inspirals
- Tidal Love Numbers of Kerr Black Holes
- Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
- Formation Rate of Extreme Mass Ratio Inspirals in Active Galactic Nuclei
- Transient resonances in the inspirals of point particles into black holes
- Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
- Tidal resonance in extreme mass-ratio inspirals
- Tidal deformation of a slowly rotating black hole
- Wet Extreme Mass Ratio Inspirals May Be More Common For Spaceborne Gravitational Wave Detection
- Forced motion near black holes
- Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
- Importance of transient resonances in extreme-mass-ratio inspirals
- X-MRIs: Extremely Large Mass-Ratio Inspirals
- Gravitational waves from bodies orbiting the Galactic Center black hole and their detectability by LISA
- Resonantly enhanced and diminished strong-field gravitational-wave fluxes
- Metric of a tidally perturbed spinning black hole
- Assessing the impact of transient orbital resonances
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Eccentric self-forced inspirals into a rotating black hole
- Second-order gravitational self-force in a highly regular gauge
- Importance of tidal resonances in extreme-mass-ratio inspirals
- General Relativistic Dynamics of an Extreme Mass-Ratio Binary interacting with an External Body
- Resonant self-force effects in extreme-mass-ratio binaries: A scalar model
- The butterfly effect in the extreme-mass ratio inspiral problem
- Evolution of the Carter constant for a resonant inspiral into a Kerr black hole: I. The scalar case
- Observational signatures of the black hole Mass Distribution in the Galactic Center
- Detectability of Gravitational Wave from a population of Inspiralling Black Holes in Milky Way Mass Galaxies
Cited by in corpus (21)
- The Science of the Einstein Telescope
- Gravitational-wave imprints of compact and galactic-scale environments in extreme-mass-ratio binaries
- Gravitational Wave Astronomy With TianQin
- Extreme-mass-ratio inspirals into rotating boson stars: nonintegrability, chaos, and transient resonances
- Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
- Geodesics and gravitational waves in chaotic extreme-mass-ratio inspirals: the curious case of Zipoy-Voorhees black-hole mimickers
- Impact of relativistic waveforms in LISA's science objectives with extreme-mass-ratio inspirals
- Binary mergers in strong gravity background of Kerr black hole
- Self-forced inspirals with spin-orbit precession
- Fast inspirals and the treatment of orbital resonances
- Testing gravity with Extreme-Mass-Ratio Inspirals
- Synchronizing the EMRIs and IMRIs in AGN accretion disks
- Resonant excitation of eccentricity in spherical extreme-mass-ratio inspirals
- Tidally-induced nonlinear resonances in EMRIs with an analogue model
- Cumulative effect of orbital resonances in extreme-mass-ratio inspirals
- Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order
- Resonant interactions from dynamical perturbers on generic orbits around an extreme mass ratio inspiral
- Geometric properties of slowly rotating black holes embedded in matter environments
- Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
- A supplementary radiation-reaction force between two binaries
- Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole