Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes

Abstract

We study the gravitational waveforms generated by critical, equatorial plunging geodesics of the Kerr metric that start from an unstable-circular-orbit, which describe the test-mass limit of spin-aligned eccentric black-hole mergers. The waveforms are generated employing a time-domain Teukolsky code. We span different values of the Kerr spin $-0.99\le a\le 0.99$ and of the critical eccentricity $e_c$, for bound ($0\le e_c<1$) and unbound plunges ($e_c\ge 1$). We find that, contrary to expectations, the waveform modes $h_{\ell m}$ do not always manifest a peak for high eccentricities or spins. In case of the dominant $h_{22}$ mode, we determine the precise region of the parameter space in which its peak exists. In this region, we provide a characterization of the merger quantities of the $h_{22}$ mode and of the higher-order modes, providing the merger structure of the equatorial eccentric plunges of the Kerr spacetime in the test-mass limit.

arXiv comment29 pages, 16 figures

References in corpus (105)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• 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
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Effective one-body approach to general relativistic two-body dynamics
• Transition from inspiral to plunge in binary black hole coalescences
• Black hole mergers in the universe
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
• Production of Intermediate-Mass Black Holes in Globular Clusters
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• The SXS Collaboration catalog of binary black hole simulations
• Surrogate models for precessing binary black hole simulations with unequal masses
• 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
• Systematic parameter errors in inspiraling neutron star binaries
• The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Fast and accurate prediction of numerical relativity waveforms from binary black hole coalescences using surrogate models
• Compact Binary Coalescences in the Band of Ground-based Gravitational-Wave Detectors
• 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
• Black hole mergers from an evolving population of globular clusters
• A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• Dynamics of perturbations of rotating black holes
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• Effective-one-body multipolar waveforms for eccentric binary black holes with non-precessing spins
• On the multipole expansion of the gravitational field
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
• Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
• 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
• Simulations of non-equal mass black hole binaries with spectral methods
• Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
• Improved methods for simulating nearly extremal binary black holes
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• Remnant of binary black-hole mergers: New simulations and peak luminosity studies
• Simulating merging binary black holes with nearly extremal spins
• Accurate gravitational waveforms for binary-black-hole mergers with nearly extremal spins
• Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or anti-aligned spins
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix
• A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries
• Modeling multipolar gravitational-wave emission from small mass-ratio mergers
• Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism
• Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
• On the accuracy and precision of numerical waveforms: Effect of waveform extraction methodology
• Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
• Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
• High accuracy simulations of black hole binaries:spins anti-aligned with the orbital angular momentum
• Rush the inspiral: efficient Effective One Body time-domain gravitational waveforms
• Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
• Binary black hole merger gravitational waves and recoil in the large mass ratio limit
• Effective one-body model for extreme-mass-ratio spinning binaries on eccentric equatorial orbits: testing radiation reaction and waveform
• A first survey of spinning eccentric black hole mergers: Numerical relativity simulations, hybrid waveforms, and parameter estimation
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• Accuracy and precision of gravitational-wave models of inspiraling neutron star -- black hole binaries with spin: comparison with numerical relativity in the low-frequency regime
• Systematic bias on parameterized tests of general relativity due to neglect of orbital eccentricity
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• Possible Causes of False General Relativity Violations in Gravitational Wave Observations
• Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait
• Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
• Inspiral into Gargantua
• Nearly extremal apparent horizons in simulations of merging black holes
• 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
• Numerical relativity surrogate model with memory effects and post-Newtonian hybridization
• New Avenue for Accurate Analytical Waveforms and Fluxes for Eccentric Compact Binaries
• Towards a gravitational self force-informed effective-one-body waveform model for nonprecessing, eccentric, large-mass-ratio inspirals
• Systematic bias on the inspiral-merger-ringdown consistency test due to neglect of orbital eccentricity
• The most powerful astrophysical events: Gravitational-wave peak luminosity of binary black holes as predicted by numerical relativity
• Blind spots and biases: the dangers of ignoring eccentricity in gravitational-wave signals from binary black holes
• Unveiling the merger structure of black hole binaries in generic planar orbits
• Mergers of black-hole binaries with aligned spins: Waveform characteristics
• 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
• Ringdown amplitudes of nonspinning eccentric binaries
• Upgraded waveform model of eccentric binary black hole based on effective-one-body-numerical-relativity for spin-aligned binary black holes
• Eccentricity-induced systematic error on parametrized tests of general relativity: Hierarchical Bayesian inference applied to a binary black hole population
• Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM
• A study of the Inspiral-Merger-Ringdown Consistency Test with gravitational-wave signals from compact binaries in eccentric orbits
• The nonspinning binary black hole merger scenario revisited
• Critical phenomena at the threshold of immediate merger in binary black hole systems: the extreme mass ratio case
• Gravitational wave surrogate model for spinning, intermediate mass ratio binaries based on perturbation theory and numerical relativity
• A complete characterisation of the orbital shapes of the non-circular Kerr geodesic solutions with circular orbit constants of motion
• Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• 2.5PN accurate waveform information for generic-planar-orbit binaries in effective one-body models
• Mimicking Mergers: Mistaking Black Hole Captures as Mergers
• Testing eccentric corrections to the radiation-reaction force in the test-mass limit of effective-one-body models
• Decoding the final state in binary black hole mergers
• Parametrized tests of general relativity using eccentric compact binaries
• Importance of eccentricities in parameter estimation of compact binary inspirals with decihertz gravitational-wave detectors
• Approach to the separatrix with eccentric orbits

Cited by in corpus (3)

• Transition-to-plunge self-force waveforms with a spinning primary
• Advancing the Effective-One-Body Framework in the Test-Mass Limit
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane