Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms

Abstract

We numerically solve the Teukolsky equation in the time domain to obtain the gravitational-wave emission of a small mass inspiraling and plunging into the equatorial plane of a Kerr black hole. We account for the dissipation of orbital energy using the Teukolsky frequency-domain gravitational-wave fluxes for circular, equatorial orbits, down to the light-ring. We consider Kerr spins $-0.99\le q\le 0.99$, and compute the inspiral-merger-ringdown (2,2), (2,1), (3,3), (3,2), (4,4), and (5,5) modes. We study the large-spin regime, and find a great simplicity in the merger waveforms, thanks to the extremely circular character of the plunging orbits. We also quantitatively examine the mixing of quasinormal modes during the ringdown, which induces complicated amplitude and frequency modulations in the waveforms. Finally, we explain how the study of small mass-ratio black-hole binaries helps extending effective-one-body models for comparable-mass, spinning black-hole binaries to any mass ratio and spin magnitude.

arXiv comment20 pages, 15 figures

References in corpus (56)

• Quasinormal modes of black holes and black branes
• Effective one-body approach to general relativistic two-body dynamics
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Transition from inspiral to plunge in binary black hole coalescences
• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• Hidden Conformal Symmetry of the Kerr Black Hole
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• CFT Duals for Extreme Black Holes
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• Dynamics of perturbations of rotating black holes
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Black Hole Perturbation
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Anatomy of the binary black hole recoil: A multipolar analysis
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
• Binary black hole merger in the extreme mass ratio limit
• Mergers of nonspinning black-hole binaries: Gravitational radiation characteristics
• The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit
• Branching of quasinormal modes for nearly extremal Kerr black holes
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole :Effects of Black Hole Absorption
• Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
• Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or anti-aligned spins
• Modeling multipolar gravitational-wave emission from small mass-ratio mergers
• Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
• Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
• Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
• Post-Newtonian expansion of gravitational waves from a particle in circular orbits around a rotating black hole: Up to $O(v^8)$ beyond the quadrupole formula
• A numerical study of the quasinormal mode excitation of Kerr black holes
• Decoding mode-mixing in black-hole merger ringdown
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
• Gravitational waves from extreme mass ratio inspirals: Challenges in mapping the spacetime of massive, compact objects
• Gravitational Radiation from Plunging Orbits - Perturbative Study -
• Horizon-absorbed energy flux in circularized, nonspinning black-hole binaries and its effective-one-body representation
• Constructing EOB dynamics with numerical energy flux for intermediate-mass-ratio inspirals
• Mergers of black-hole binaries with aligned spins: Waveform characteristics
• New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole

Cited by in corpus (57)

• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes
• An improved analysis of GW150914 using a fully spin-precessing waveform model
• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• On the properties of the massive binary black hole merger GW170729
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• The Science of the Einstein Telescope
• Black hole perturbation theory and gravitational self-force
• A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries
• Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers
• Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
• Importance of mirror modes in binary black hole ringdown waveform
• Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
• Exciting black hole modes via misaligned coalescences: II. The mode content of late-time coalescence waveforms
• Hairy binary black holes in Einstein-Maxwell-dilaton theory and their effective-one-body description
• Exciting black hole modes via misaligned coalescences: I. Inspiral, transition, and plunge trajectories using a generalized Ori-Thorne procedure
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Tests of general relativity in the nonlinear regime: a parametrized plunge-merger-ringdown gravitational waveform model
• Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
• iResum: a new paradigm for resumming gravitational wave amplitudes
• Accelerating the evaluation of inspiral-merger-ringdown waveforms with adapted grids
• Impact of Numerical Relativity information on effective-one-body waveform models
• Angular emission patterns of remnant black holes
• Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform
• Black hole binary inspiral: Analysis of the plunge
• An analytic family of post-merger template waveforms
• Gravitational wave from extreme mass-ratio inspirals as a probe of extra dimensions
• Numerical-relativity validation of effective-one-body waveforms in the intermediate-mass-ratio regime
• Self-force framework for transition-to-plunge waveforms
• Gravitational wave surrogate model for spinning, intermediate mass ratio binaries based on perturbation theory and numerical relativity
• Self-consistent adiabatic inspiral and transition motion
• The antikick strikes back: recoil velocities for nearly-extremal binary black hole mergers in the test-mass limit
• Time-domain metric reconstruction for self-force applications
• Phenomenology and origin of late-time tails in eccentric binary black hole mergers
• Transition from inspiral to plunge into a highly spinning black hole
• Gravitational memory: new results from post-Newtonian and self-force theory
• Measuring quasi-normal mode amplitudes with misaligned binary black hole ringdowns
• Testing eccentric corrections to the radiation-reaction force in the test-mass limit of effective-one-body models
• Enhancing interferometer sensitivity without sacrificing bandwidth and stability: beyond single-mode and resolved-sideband approximation
• The implications of stochastic gas torques for asymmetric binaries in the LISA band
• Fast Evolution and Waveform Generator for Extreme-Mass-Ratio Inspirals in Equatorial-Circular Orbits
• Real modes and null memory contributions in effective-one-body models
• Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
• Arrival Times of Gravitational Radiation Peaks for Binary Inspiral
• Success of the small mass ratio approximation during the final orbits of binary black hole simulations
• Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
• Advancing the Effective-One-Body Framework in the Test-Mass Limit
• Asymptotically matched quasi-circular inspiral and transition-to-plunge in the small mass ratio expansion
• Analysis of late-time tails in spin-aligned eccentric binary black hole mergers
• Constants of motion in gravitational self-force theory