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We quantify the impact of finite catalog size, or "catalog variance," on current gravitational-wave population analyses. The distribution of merging binary black holes is commonly reconstructed via hierarchical Bayesian inference, with…

High Energy Astrophysical Phenomena · Physics 2026-03-03 Alessia Corelli , Davide Gerosa , Matthew Mould , Cecilia Maria Fabbri

In this paper, the third in a series illustrating the power of generalized linear models (GLMs) for the astronomical community, we elucidate the potential of the class of GLMs which handles count data. The size of a galaxy's globular…

Instrumentation and Methods for Astrophysics · Physics 2019-08-13 R. S. de Souza , J. M. Hilbe , B. Buelens , J. D. Riggs , E. Cameron , E. E. O. Ishida , A. L. Chies-Santos , M. Killedar

LISA might detect gravitational waves from mergers of massive black hole binaries strongly lensed by intervening galaxies (Sereno et al. 2010). The detection of multiple gravitational lensing events would provide a new tool for cosmography.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 M. Sereno , Ph. Jetzer , A. Sesana , M. Volonteri

Black hole population studies are currently performed either using astrophysically motivated models (informed but rigid in their functional forms) or via non-parametric methods (flexible but not directly interpretable). In this paper, we…

Instrumentation and Methods for Astrophysics · Physics 2026-02-25 Stefano Rinaldi

With the increase in the number of observed gravitational wave (GW) signals, detecting strongly lensed GWs by galaxies has become a real possibility. Lens galaxies also contain microlenses (e.g., stars and black holes), introducing further…

Astrophysics of Galaxies · Physics 2022-10-05 Ashish Kumar Meena , Anuj Mishra , Anupreeta More , Sukanta Bose , Jasjeet Singh Bagla

A small fraction of gravitational-wave (GW) signals detected by ground-based observatories will be strongly lensed by intervening galaxies or clusters. This may produce multiple copies of the signals (i.e., lensed images) arriving at…

General Relativity and Quantum Cosmology · Physics 2025-10-28 A. Barsode , K. N. Maity , P. Ajith

Strongly lensed gravitational waves (GWs) from binary coalescence manifest as repeated chirps from the original merger. At the detectors, the phase of the lensed GWs and its arrival time differences will be consistent modulo a fixed…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-17 Jose María Ezquiaga , Wayne Hu , Rico K. L. Lo

Galaxies acting as gravitational lenses are surrounded by, at most, a handful of images. This apparent paucity of information forces one to make the best possible use of what information is available to invert the lens system. In this…

Astrophysics · Physics 2009-11-13 J. Liesenborgs , S. De Rijcke , H. Dejonghe , P. Bekaert

Knowledge of the shape of the mass spectrum of compact objects can be used to help break the degeneracy between the mass and redshift of the gravitational wave (GW) sources, and thus can be used to infer cosmological parameters in the…

General Relativity and Quantum Cosmology · Physics 2021-09-29 S. Mastrogiovanni , K. Leyde , C. Karathanasis , E. Chassande-Mottin , D. A. Steer , J. Gair , A. Ghosh , R. Gray , S. Mukherjee , S. Rinaldi

Gravitational lensing describes the bending of the trajectories of light and gravitational waves due to the gravitational potential of a massive object. Strong lensing by galaxies can create multiple images with different overall…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Simon M. C. Yeung , Mark H. Y. Cheung , Joseph A. J. Gais , Otto A. Hannuksela , Tjonnie G. F. Li

Pulsar timing arrays (PTAs) are presently the only means to search for the gravitational wave stochastic background from supermassive black hole binary populations, considered to be within the grasp of current or near future observations.…

Astrophysics of Galaxies · Physics 2018-05-09 Hannah Middleton , Siyuan Chen , Walter Del Pozzo , Alberto Sesana , Alberto Vecchio

We report on advances to interpret current and future gravitational-wave events in light of astrophysical simulations. A machine-learning emulator is trained on numerical population-synthesis predictions and inserted into a Bayesian…

High Energy Astrophysical Phenomena · Physics 2019-10-30 Kaze W. K. Wong , Davide Gerosa

Gravitational-wave (GW) observations by a network of ground-based laser interferometric detectors allow us to probe the nature of GW polarizations. This would be an interesting test of general relativity (GR), since GR predicts only two…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Srashti Goyal , K. Haris , Ajit Kumar Mehta , Parameswaran Ajith

We consider binary black holes (BBHs) in a hierarchical triple system where a more compact, less-massive binary is emitting detectable gravitational waves (GWs), and the tertiary is a supermassive BH at the center of a nuclear star cluster.…

High Energy Astrophysical Phenomena · Physics 2020-05-06 Daniel J. D'Orazio , Abraham Loeb

The second generation of gravitational-wave detectors is scheduled to start operations in 2015. Gravitational-wave signatures of compact binary coalescences could be used to accurately test the strong-field dynamical predictions of general…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Walter Del Pozzo , Katherine Grover , Ilya Mandel , Alberto Vecchio

In this paper, we study the strong gravitational lensing of gravitational waves (GWs) from a statistical perspective, with particular focus on the high frequency GWs from stellar binary black hole coalescences. These are most promising…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-21 Shun-Sheng Li , Shude Mao , Yuetong Zhao , Youjun Lu

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

Methodology · Statistics 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

When searching for gravitational waves in the data from ground-based gravitational wave detectors it is common to use a detection threshold to reduce the number of background events which are unlikely to be the signals of interest. However,…

Instrumentation and Methods for Astrophysics · Physics 2014-01-03 C. Messenger , J. Veitch

We present an automatic approach to discover analytic population models for gravitational-wave (GW) events from data. As more gravitational-wave (GW) events are detected, flexible models such as Gaussian Mixture Models have become more…

Instrumentation and Methods for Astrophysics · Physics 2022-07-27 Kaze W. K Wong , Miles Cranmer

The recent detection of gravitational waves indicates that stellar-mass black hole binaries are likely to be a key population of sources for forthcoming observations. With future upgrades, ground-based detectors could detect merging black…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Liang Dai , Tejaswi Venumadhav , Kris Sigurdson