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We present a method to search for gravitational waves from coalescing supermassive binary black holes in LISA data. The search utilizes the $\mathcal{F}$-statistic to maximize over, and determine the values of, the extrinsic parameters of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 I. W. Harry , S. Fairhurst , B. S. Sathyaprakash

Pulsar timing arrays aim to detect nanohertz-frequency gravitational waves (GWs). A background of GWs modulates pulsar arrival times and manifests as a stochastic process, common to all pulsars, with a signature spatial correlation. Here we…

Most of compact binary systems are expected to circularize before the frequency of emitted gravitational waves (GWs) enters the sensitivity band of the ground based interferometric detectors. However, several mechanisms have been proposed…

We study the capability of a pulsar timing array (PTA) to individually resolve and localize in the sky monochromatic gravitational wave (GW) sources. Given a cosmological population of inspiralling massive black hole binaries, their…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Stanislav Babak , Alberto Sesana

The Laser Interferometer Space Antenna (LISA) defines new demands on data analysis efforts in its all-sky gravitational wave survey, recording simultaneously thousands of galactic compact object binary foreground sources and tens to…

Instrumentation and Methods for Astrophysics · Physics 2009-11-06 Alexander Stroeer , John Veitch

One of the primary gravitational wave (GW) sources for pulsar timing arrays (PTAs) is the stochastic background formed by supermassive black holes binaries (SMBHBs). In this paper, we investigate how the environments of SMBHBs will effect…

Instrumentation and Methods for Astrophysics · Physics 2016-12-14 Sarah J. Vigeland , Xavier Siemens

Coalescing massive Black Hole binaries are the strongest and probably the most important gravitational wave sources in the LISA band. The spin and orbital precessions bring complexity in the waveform and make the likelihood surface richer…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Antoine Petiteau , Yu Shang , Stanislav Babak , Farhan Feroz

The formation of merging binary black holes can occur through multiple astrophysical channels such as, e.g., isolated binary evolution and dynamical formation or, alternatively, have a primordial origin. Increasingly large…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Simone S. Bavera , Gabriele Franciolini , Giulia Cusin , Antonio Riotto , Michael Zevin , Tassos Fragos

Coalescing binary black-hole systems are among the most promising sources of gravitational waves for ground-based interferometers. While the \emph{inspiral} and \emph{ring-down} stages of the binary black-hole coalescence are well-modelled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Ajith

Supermassive black hole binaries (SMBHBs) formed in galaxy mergers are promising multi-messenger sources. They can be identified as quasars with periodic variability in electromagnetic (EM) time-domain surveys. The most massive of those…

Astrophysics of Galaxies · Physics 2025-10-13 Maria Charisi , Stephen Taylor , Jessie Runnoe , Caitlin Witt , Polina Petrov

Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

The detection of gravitational waves from the merger of binary black holes by the LIGO Collaboration has opened a new window to astrophysics. With the sensitivities of ground based detectors in the coming years we can only detect the local…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Ilias Cholis

Massive black hole binaries (MBHBs) produce gravitational waves (GWs) that are detectable with pulsar timing arrays. We determine the properties of the host galaxies of simulated MBHBs at the time they are producing detectable GW signals.…

Astrophysics of Galaxies · Physics 2025-01-28 Katharine Cella , Stephen R. Taylor , Luke Zoltan Kelley

These lecture notes provide a brief introduction to methods used to search for a stochastic background of gravitational radiation -- a superposition of gravitational-wave signals that are either too weak or too numerous to individually…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Joseph D. Romano

Pulsar timing observations are used to place constraints on the rate of coalescence of supermassive black-hole (SMBH) binaries as a function of mass and redshift. In contrast to the indirect constraints obtained from other techniques,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Z. L. Wen , F. A. Jenet , D. Yardley , G. B. Hobbs , R. N. Manchester

The detection of a stochastic gravitational-wave signal from the superposition of many inspiraling supermassive black holes with pulsar timing arrays (PTAs) is likely to occur within the next decade. With this detection will come the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Laura Sampson , Neil J. Cornish , Sean T. McWilliams

Relativistic binary pulsars orbiting white dwarfs and neutron stars have already provided excellent tests of gravity. However, despite observational efforts, a pulsar orbiting a black hole has remained elusive. One possible explanation is…

Instrumentation and Methods for Astrophysics · Physics 2022-01-05 Vishnu Balakrishnan , David Champion , Ewan Barr , Michael Kramer , V. Venkatraman Krishnan , Ralph P. Eatough , Rahul Sengar , Matthew Bailes

While the third LIGO--Virgo gravitational-wave transient catalog includes 90 signals, it is believed that ${\cal O}(10^5)$ binary black holes merge somewhere in the Universe every year. Although these signals are too weak to be detected…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Xiao-Xiao Kou , Muhammed Saleem , Vuk Mandic , Colm Talbot , Eric Thrane

Biclustering is a powerful unsupervised learning technique for simultaneously identifying coherent subsets of rows and columns in a data matrix, thus revealing local patterns that may not be apparent in global analyses. However, most…

Methodology · Statistics 2026-03-20 Sijian Fan , Ray Bai

Supermassive black hole binaries are the strongest gravitational wave sources in the universe. The systems most likely to be observed with pulsar timing arrays (PTAs) will have particularly high masses ($\gtrsim 10^9 M_\odot$), long periods…

High Energy Astrophysical Phenomena · Physics 2014-11-17 Jeremy D. Schnittman