Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
arXiv:2410.09796 · doi:10.1103/PhysRevD.111.103007
Abstract
A binary extreme-mass-ratio inspiral (b-EMRI) is a hierarchical triple system consisting of a stellar-mass binary black hole (BBH) orbiting a central Kerr supermassive black hole (SMBH). Although predicted by several astrophysical models, b-EMRIs pose a challenge in waveform modeling due to their complex three-body dynamics and strong relativistic effects. Here we take advantage of the hierarchical nature of b-EMRI systems to transform the internal motion of the small binary into global trajectories around the SMBH. This allows us to use black hole perturbation theory to calculate both the low-frequency gravitational waveform due to its EMRI nature and the high-frequency waveform generated by the inner motion of the BBH. When the inner binary's separation vanishes, our calculation recovers the standard relativistic adiabatic EMRI waveform. Furthermore, by including the high-frequency perturbation, we find a correction to the waveform as large as the adiabatic order when the frequency matches the quasinormal modes (QNMs) of the SMBH, therefore supporting an earlier proof-of-concept study claiming that the small BBH can resonantly excite the QNMs of the SMBH. More importantly, we find that b-EMRIs can evolve faster than regular EMRIs due to this resonant dissipation through the high-frequency modes. These characteristics distinguish b-EMRI waveform templates from regular EMRI templates for future space-based gravitational-wave detectors.
arXiv commentPRD published
References in corpus (73)
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- Quasinormal modes of black holes and black branes
- TianQin: a space-borne gravitational wave detector
- GW190521: A Binary Black Hole Merger with a Total Mass of
- 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
- Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
- Theoretical Black Hole Mass Distributions
- Candidate Electromagnetic Counterpart to the Binary Black Hole Merger Gravitational Wave Event S190521g
- Formation and Evolution of Compact Object Binaries in AGN Disks
- Analytic black hole perturbation approach to gravitational radiation
- The Mass Distribution of Stellar Black Holes
- 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
- Migration Traps in Disks Around Supermassive Black Holes
- Long-Term Cycling of Kozai-Lidov Cycles: Extreme Eccentricities and Inclinations Excited by a Distant Eccentric Perturber
- Relativistic Dynamics and Extreme Mass Ratio Inspirals
- FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
- Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
- Towards a formalism for mapping the spacetimes of massive compact objects: Bumpy black holes and their orbits
- Black Hole Perturbation
- 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
- Formation Rate of Extreme Mass Ratio Inspirals in Active Galactic Nuclei
- Spacetime and orbits of bumpy black holes
- Phase effects from strong gravitational lensing of gravitational waves
- Detecting triple systems with gravitational wave observations
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation
- qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients
- An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole
- Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
- Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
- Mechanics of extended masses in general relativity
- Radiation-reaction-induced evolution of circular orbits of particles around Kerr Black Holes
- Mass-redshift Degeneracy for Gravitational-wave Sources in the Vicinity of a Supermassive Black Hole
- Self-Force Calculations with a Spinning Secondary
- A New Type of Extreme-mass-ratio Inspirals Produced by Tidal Capture of Binary Black Holes
- Science with the TianQin Observatory: Preliminary Results on Testing the No-hair Theorem with EMRI
- The last migration trap of compact objects in AGN accretion disc
- Improved analytic extreme-mass-ratio inspiral model for scoping out eLISA data analysis
- Effect of gravitational radiation reaction on circular orbits around a spinning black hole
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II. Solutions of the Continued Fraction Equation
- Binary radial velocity measurements with space-based gravitational-wave detectors
- Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
- A Direct Probe of Mass Density Near Inspiraling Binary Black Holes
- Gravitational Radiations from a Spinning Compact Object around a supermassive Kerr black hole in circular orbit
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
- A census of transient orbital resonances encountered during binary inspiral
- Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain
- Gravitational tuning forks and hierarchical triple systems
- Detecting the Beaming Effect of Gravitational Waves
- Prospects for determining the nature of the secondaries of extreme mass-ratio inspirals using the spin-induced quadrupole deformation
- Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
- Testing general relativity using binary extreme-mass-ratio inspirals
- Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity
- Tidal deformations of a binary system induced by an external Kerr black hole
- Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
- Kerr metric, static observers and Fermi coordinates
- General Transformation Formulas for Fermi-Walker Coordinates
- Binary mergers in strong gravity background of Kerr black hole
- Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
- Fast inspirals and the treatment of orbital resonances
- Binaries Wandering Around Supermassive Black Holes Due To Gravito-electromagnetism
- BHPWAVE: An adiabatic gravitational waveform model for compact objects undergoing quasi-circular inspirals into rotating massive black holes
- Post-Newtonian expansions of extreme mass ratio inspirals of spinning bodies into Schwarzschild black holes
- Recipes for computing radiation from a Kerr black hole using a generalized Sasaki-Nakamura formalism: Homogeneous solutions
- Calculating the Gravitational Waves Emitted from High-speed Sources
- The appearance of a merging binary black hole very close to a spinning supermassive black hole
- Dynamical perturbations around an extreme mass ratio inspiral near resonance
Cited by in corpus (4)
- Strong-gravity precession resonances for binary systems orbiting a Schwarzschild black hole
- Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
- Observable signature of magnetic tidal coupling in hierarchical triple systems
- Constraining Kerr supermassive black hole properties using gravitational waves from inspiraling stellar-mass binary black holes