Inferring Interference: Identifying a Perturbing Tertiary with Eccentric Gravitational Wave Burst Timing

Abstract

[Abridged] Binary black holes may form and merge dynamically. These binaries are likely to become bound with high eccentricities, resulting in a burst of gravitational radiation at their point of closest approach. When such a binary is perturbed by a third body, the evolution of the orbit is affected, and gravitational-wave burst times are altered. The bursts times therefore encode information about the tertiary. In order to extract this information, we require a prescription for the relationship between the tertiary properties and the gravitational-wave burst times. In this paper, we demonstrate a toy model for the burst times of a secular three-body system. We show how Bayesian inference can be employed to deduce the tertiary properties when the bursts are detected by next-generation ground-based gravitational-wave detectors. We study the bursts from an eccentric binary with a total mass of $60$~M${}_{\odot }$ orbiting an $6\times 10^8$~M${}_{\odot }$ supermassive black hole. When we assume no knowledge of the eccentric binary, we are unable to tightly constrain the existence or properties of the tertiary, and we recover biased posterior probability distributions for the parameters of the eccentric binary. However, when the properties of the binary are already well-known -- as is likely if the late inspiral and merger are also detected -- we are able to more accurately infer the mass of the perturber, $m_3$, and its distance from the binary, $R$. When we assume measurement precision on the binary parameters consistent with expectations for next-generation gravitational-wave detectors, we can be greater than $90\%$ confident that the binary is perturbed. [...]

Version accepted for publication in PRD

References in corpus (98)

• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Science Case for the Einstein Telescope
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• The Eccentric Kozai-Lidov Effect and Its Applications
• Tempo2, a new pulsar timing package. II: The timing model and precision estimates
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• BayesWave: Bayesian Inference for Gravitational Wave Bursts and Instrument Glitches
• A guide to LIGO-Virgo detector noise and extraction of transient gravitational-wave signals
• The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
• Binary black hole mergers from field triples: properties, rates and the impact of stellar evolution
• Eccentric Black Hole Mergers Forming in Globular Clusters
• Are merging black holes born from stellar collapse or previous mergers?
• One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways
• GW190521: orbital eccentricity and signatures of dynamical formation in a binary black hole merger signal
• Coherent method for detection of gravitational wave bursts
• Lidov-Kozai Cycles with Gravitational Radiation: Merging Black Holes in Isolated Triple Systems
• On stellar-mass black hole mergers in AGN disks detectable with LIGO
• Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-body Systems
• Post-Newtonian Dynamics in Dense Star Clusters: Highly-Eccentric, Highly-Spinning, and Repeated Binary Black Hole Mergers
• Post-Newtonian Dynamics in Dense Star Clusters: Formation, Masses, and Merger Rates of Highly-Eccentric Black Hole Binaries
• Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
• The origin of spin in binary black holes: Predicting the distributions of the main observables of Advanced LIGO
• AGN as Potential Factories for Eccentric Black Hole Mergers
• Orbital Migration of Interacting Stellar Mass Black Holes in Disks around Supermassive Black Holes
• Black Hole Mergers From Globular Clusters Observable by LISA I: Eccentric Sources Originating From Relativistic $N$-body Dynamics
• A Post-Newtonian diagnostic of quasi-equilibrium binary configurations of compact objects
• Use of gravitational waves to probe the formation channels of compact binaries
• The BayesWave analysis pipeline in the era of gravitational wave observations
• Eccentric Black Hole Gravitational-Wave Capture Sources in Galactic Nuclei: Distribution of Binary Parameters
• Monte-Carlo simulations of black hole mergers in AGN disks: Low ${\chi }_{\mathrm{eff}}$ mergers and predictions for LIGO
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• GW190521 as a dynamical capture of two nonspinning black holes
• Effective-one-body multipolar waveforms for eccentric binary black holes with non-precessing spins
• Measuring eccentricity in binary black hole inspirals with gravitational waves
• Eccentric Black Hole Mergers in Active Galactic Nuclei
• Implications of Eccentric Observations on Binary Black Hole Formation Channels
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
• On the Assembly Rate of Highly Eccentric Binary Black Hole Mergers
• Four eccentric mergers increase the evidence that LIGO--Virgo--KAGRA's binary black holes form dynamically
• Repeated Bursts from Relativistic Scattering of Compact Objects in Galactic Nuclei
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• On the Origin of GW190521-like events from repeated black hole mergers in star clusters
• Distinguishing compact binary population synthesis models using gravitational-wave observations of coalescing binary black holes
• Probing stellar binary black hole formation in galactic nuclei via the imprint of their center of mass acceleration on their gravitational wave signal
• Coherent WaveBurst, a pipeline for unmodeled gravitational-wave data analysis
• Fingerprints of binary black hole formation channels encoded in the mass and spin of merger remnants
• Detecting triple systems with gravitational wave observations
• Signs of eccentricity in two gravitational-wave signals may indicate a sub-population of dynamically assembled binary black holes
• Omicron: a tool to characterize transient noise in gravitational-wave detectors
• Repeated mergers, mass-gap black holes, and formation of intermediate-mass black holes in nuclear star clusters
• Effective-one-body waveforms from dynamical captures in black hole binaries
• Black Hole Mergers from Hierarchical Triples in Dense Star Clusters
• Binary black hole mergers: formation and populations
• The Effect of Eccentricity on Searches for Gravitational-Waves from Coalescing Compact Binaries in Ground-based Detectors
• Detectable environmental effects in GW190521-like black-hole binaries with LISA
• A 3PN Fourier Domain Waveform for Non-Spinning Binaries with Moderate Eccentricity
• Eccentricity or spin precession? Distinguishing subdominant effects in gravitational-wave data
• An Analytical Portrait of Binary Mergers in Hierarchical Triple Systems
• Spin-Orbit Misalignment of Merging Black-Hole Binaries with Tertiary Companions
• A higher-multipole gravitational waveform model for an eccentric binary black holes based on the effective-one-body-numerical-relativity formalism
• High Eccentricities and High Masses Characterize Gravitational-wave Captures in Galactic Nuclei as Seen by Earth-based Detectors
• Binary Black Hole Merger Rates in AGN Disks versus Nuclear Star Clusters: Loud beats Quiet
• Black Hole and Neutron Star Binary Mergers in Triple Systems: II. Merger Eccentricity and Spin-Orbit Misalignment
• Black hole mergers of AGN origin in LIGO/Virgo's O1-O3a observing periods
• A Direct Probe of Mass Density Near Inspiraling Binary Black Holes
• Stability criteria for hierarchical triple systems
• Inspiral into Gargantua
• Impact of eccentricity on the gravitational wave searches for binary black holes: High mass case
• Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform
• Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits
• Long-term Evolution of Tightly-Packed Stellar Black Holes in AGN Disks: Formation of Merging Black-Hole Binaries via Close Encounters
• A Parametrized post-Einsteinian Framework for Gravitational Wave Bursts
• Relativistic orbits around spinning supermassive black holes. Secular evolution to 4.5 post-Newtonian order
• Adding eccentricity to quasicircular binary-black-hole waveform models
• Eccentric Gravitational Wave Bursts in the Post-Newtonian Formalism
• Detecting gravitational waves from highly eccentric compact binaries
• Detectability and parameter estimation of stellar origin black hole binaries with next generation gravitational wave detectors
• Detecting Kozai-Lidov imprints on the gravitational waves of intermediate-mass black holes in galactic nuclei
• The Eccentric Behavior of Inspiraling Compact Binaries
• Impact of a Spinning Supermassive Black Hole on the Orbit and Gravitational Waves of a Nearby Compact Binary
• Detecting Accelerating Eccentric Binaries in the LISA Band
• Aligning Retrograde Nuclear Cluster Orbits with an Active Galactic Nucleus Accretion Disc
• Ready-to-use analytic model for gravitational waves from a hierarchical triple with Kozai-Lidov oscillations
• Direct determination of supermassive black hole properties with gravitational-wave radiation from surrounding stellar-mass black hole binaries
• Observation of eccentric binary black hole mergers with second and third generation gravitational wave detector networks
• Gravitational Waves as a Probe of Globular Cluster Formation and Evolution
• Analytic Waveforms for Eccentric Gravitational Wave Bursts
• Accretion History of AGN III: Radiative Efficiency and AGN Contribution to Reionization
• Pulsar timing and its applications
• Improvement of the parameter measurement accuracy by the third-generation gravitational wave detector Einstein Telescope
• Method for detecting highly-eccentric binaries with a gravitational wave burst search
• Neutron Stars in the Effective Fly-By Framework: $f$-Mode Re-summation
• Parameter Distributions of Binary Black Hole Mergers Near Supermassive Black Holes as Seen by Advanced Gravitational Wave Detectors
• Fast Frequency-Domain Effective Fly-By Waveforms

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