Event Rate of Strongly Lensed Gravitational Waves of Stellar Binary Black Hole Mergers Produced by Dynamical Interactions

Abstract

Gravitational waves emitted from stellar binary black hole (sBBH) mergers can be gravitationally lensed by intervening galaxies and detected by future ground-based detectors. A large amount of effort has been put into the estimation of the detection rate of lensed sBBH originating from the evolution of massive binary stars (EMBS channel). However, sBBHs produced by the dynamical interaction in dense clusters (dynamical channel) may also be dominant in our universe and their intrinsic distribution of physical properties can be significantly different from those produced by massive stars, especially mass and redshift distribution. In this paper, we investigate the event rate of lensed sBBHs produced via dynamical channel by Monte Carlo simulations and the number is $16_{-12}^{+4.7}$ $\mathrm{y}{\mathrm{r}}^{-1}$ for the Einstein telescope and $24_{-17}^{+6.8}$ $\mathrm{y}{\mathrm{r}}^{-1}$ for Cosmic Explorer, of which the median is about $\sim 2$ times the rate of sBBHs originated from EMBS channel (calibrated by the local merger rate density estimated for the dynamical and the EMBS channel, i.e., $\sim 14_{-10}^{+4.0}$ and $19_{-3.0}^{+42}\mathrm{Gp}{\mathrm{c}}^{-3}\mathrm{y}{\mathrm{r}}^{-1}$ respectively). Therefore, one may constrain the fraction of both EMBS and dynamical channels through the comparison of the predicted and observed number of lensed sBBH events statistically.

arXiv comment9 pages, 4 Figures, Astrophysical Journal in Press

References in corpus (51)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• The first gravitational-wave source from the isolated evolution of two 40-100 Msun stars
• Black hole mergers in the universe
• Gravitationally lensed quasars and supernovae in future wide-field optical imaging surveys
• GW150914: Implications for the stochastic gravitational wave background from binary black holes
• Wave Effects in Gravitational Lensing of Gravitational Waves from Chirping Binaries
• The progenitors of compact-object binaries: impact of metallicity, common envelope and natal kicks
• Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
• Dynamical Formation of the GW150914 Binary Black Hole
• The velocity dispersion function of early-type galaxies
• Internal and Collective Properties of Galaxies in the Sloan Digital Sky Survey
• Phenomenological model for the gravitational-wave signal from precessing binary black holes with two-spin effects
• Gravitational lensing of gravitational waves: A statistical perspective
• Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers
• Gravitational Lensing By Spiral Galaxies
• Precision cosmology from future lensed gravitational wave and electromagnetic signals
• Binary inspiral, gravitational radiation, and cosmology
• Gravitational Lensing of Gravitational Waves from Merging Neutron Star Binaries
• Spin-Orbit Resonance and the Evolution of Compact Binary Systems
• Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
• Localization accuracy of compact binary coalescences detected by the third-generation gravitational-wave detectors and implication for cosmology
• Detecting Lensing-Induced Diffraction in Astrophysical Gravitational Waves
• Localizing merging black holes with sub-arcsecond precision using gravitational-wave lensing
• What if LIGO's gravitational wave detections are strongly lensed by massive galaxy clusters?
• Observational signatures of microlensing in gravitational waves at LIGO/Virgo frequencies
• Strong gravitational lensing of gravitational waves from double compact binaries - perspectives for the Einstein Telescope
• Please repeat: Strong lensing of gravitational waves as a probe of compact binary and galaxy populations
• Probing the Structure of Lensing Galaxies with Quadruple Lenses: The Effect of the ``External'' Shear
• Identifying Type II Strongly Lensed Gravitational-Wave Images in Third-Generation Gravitational-Wave Detectors
• Strongly lensed gravitational waves from intrinsically faint double compact binaries - prediction for the Einstein Telescope
• Observability of lensing of gravitational waves from massive black hole binaries with LISA
• Strong gravitational lensing of gravitational waves in Einstein Telescope
• Host galaxy properties of mergers of stellar binary black holes and their implications for advanced LIGO gravitational wave sources
• Effects of Ellipticity and Shear on Gravitational Lens Statistics
• Constraining cosmological parameters in FLRW metric with lensed GW+EM signals
• Probing the nature of dark matter via gravitational waves lensed by small dark matter halos
• Discovering gravitationally lensed gravitational waves: predicted rates, candidate selection, and localization with the Vera Rubin Observatory
• Lensing or luck? False alarm probabilities for gravitational lensing of gravitational waves
• Strong lensing as a giant telescope to localize the host galaxy of gravitational wave event
• The Observed Rate of Binary Black Hole Mergers can be Entirely Explained by Globular Clusters
• Inferring the lensing rate of LIGO-Virgo sources from the stochastic gravitational wave background
• Detectability and parameter estimation of stellar origin black hole binaries with next generation gravitational wave detectors
• Strong lensing statistics in large, z~<0.2 surveys: bias in the lens galaxy population
• The velocity dispersion function of early-type galaxies and its redshift evolution: the newest results from lens redshift test
• Stochastic Gravitational Wave Background and Eccentric Stellar Compact Binaries
• How does the Earth's rotation affect predictions of gravitational wave strong lensing rates?
• Constraining the origin of stellar binary black hole mergers by detections of their lensed host galaxies and gravitational wave signals
• On the detection of the electromagnetic counterparts from lensed gravitational wave events by binary neutron star mergers

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