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The sensitivity curve of a canonical pulsar timing array is calculated for two types of source: a monochromatic wave and a stochastic background. These calculations are performed in both a Bayesian and frequentist framework, using both…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Christopher J. Moore , Stephen R. Taylor , Jonathan R. Gair

The observation of massive black hole binaries (MBHBs) with Pulsar Timing Arrays (PTAs) is one of the goals of gravitational wave astronomy in the coming years. Massive (>10^8 solar masses) and low-redshift (< 1.5) sources are expected to…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-19 Alberto Sesana , Alberto Vecchio

Modeling the stochastic gravitational wave background from various astrophysical sources is a key objective in view of upcoming observations with ground- and space-based gravitational wave observatories such as Advanced LIGO, VIRGO, eLISA…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Irina Dvorkin , Jean-Philippe Uzan , Elisabeth Vangioni , Joseph Silk

Revealing the nature of the nanoHz gravitational wave (GW) signal recently reported by Pulsar Timing Arrays (PTAs) collaborations around the world is the next goal of low-frequency GW astronomy. The signal likely originates from the…

Within the next several years pulsar timing arrays (PTAs) are positioned to detect the stochastic gravitational-wave background (GWB) likely produced by the collection of inspiralling super-massive black holes binaries, and potentially…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Yacine Ali-Haïmoud , Tristan L. Smith , Chiara M. F. Mingarelli

Pulsar timing array collaborations, such as the North American Nanohertz Observatory for Gravitational Waves (NANOGrav), are seeking to detect nanohertz gravitational waves emitted by supermassive black hole binaries formed in the aftermath…

We derive scaling laws for the signal-to-noise ratio of the optimal cross-correlation statistic, and show that the large power-law increase of the signal-to-noise ratio as a function of the the observation time $T$ that is usually assumed…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Xavier Siemens , Justin Ellis , Fredrick Jenet , Joseph D. Romano

Pulsar timing array observations have found evidence for an isotropic gravitational wave background with the Hellings-Downs angular correlations, expected from general relativity. This interpretation hinges on the measured shape of the…

High Energy Astrophysical Phenomena · Physics 2024-11-21 Gabriella Agazie , Jeremy G. Baier , Paul T. Baker , Bence Becsy , Laura Blecha , Kimberly K. Boddy , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Rand Burnette , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Megan E. DeCesar , Paul B. Demorest , Heling Deng , Lankeswar Dey , Timothy Dolch , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Emiko C. Gardiner , Kyle A. Gersbach , Joseph Glaser , Deborah C. Good , Kayhan Gultekin , Jeffrey S. Hazboun , Ross J. Jennings , Aaron D. Johnson , David L. Kaplan , Luke Zoltan Kelley , Joey S. Key , Nima Laal , Michael T. Lam , William G. Lamb , Bjorn Larsen , T. Joseph W. Lazio , Natalia Lewandowska , Tingting Liu , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Patrick M. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Jonathan Nay , David J. Nice , Stella Koch Ocker , Ken D. Olum , Timothy T. Pennucci , Polina Petrov , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Jessie C. Runnoe , Alexander Saffer , Shashwat C. Sardesai , Kai Schmitz , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Tristan L. Smith , Sophia V. Sosa Fiscella , Ingrid H. Stairs , Daniel R. Stinebring , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob Taylor , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Joris Verbiest , Sarah J. Vigeland , Caitlin A. Witt , David Wright , Olivia Young

Basic aspects of the background of gravitational waves and its mathematical characterization are reviewed. The spectral energy density parameter $\Omega(f)$, commonly used as a quantifier of the background, is derived for an ensemble of…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Pablo A. Rosado

By correlating the signals from a pair of gravitational-wave detectors, one can undertake sensitive searches for a stochastic background of gravitational radiation. If the stochastic background is anisotropic, then this correlated signal…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Bruce Allen , Adrian C. Ottewill

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Wang-Wei Yu , Bruce Allen

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 Alexander Harvey Nitz

Coalescence of two massive black holes is the strongest and most promising source for LISA. In fact, gravitational signal from the end of inspiral and merger will be detectable throughout the Universe. In this article we describe the first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stanislav Babak

A gravitational-wave background can be detected in pulsar-timing-array data as Hellings--Downs correlations among the timing residuals measured for different pulsars. The optimal statistic implements this concept as a classical…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Michele Vallisneri , Patrick M. Meyers , Katerina Chatziioannou , Alvin J. K. Chua

In the gravitational-wave analysis of pulsar-timing-array datasets, parameter estimation is usually performed using Markov Chain Monte Carlo methods to explore posterior probability densities. We introduce an alternative procedure that…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Michele Vallisneri , Marco Crisostomi , Aaron D. Johnson , Patrick M. Meyers

The merger rate of black hole binaries inferred from the detections in the first Advanced LIGO science run, implies that a stochastic background produced by a cosmological population of mergers will likely mask the primordial…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-19 T. Regimbau , M. Evans , N. Christensen , E. Katsavounidis , B. Sathyaprakash , S. Vitale

We review detection methods that are currently in use or have been proposed to search for a stochastic background of gravitational radiation. We consider both Bayesian and frequentist searches using ground-based and space-based laser…

General Relativity and Quantum Cosmology · Physics 2017-04-11 Joseph D. Romano , Neil J. Cornish

Efforts to detect gravitational waves by timing an array of pulsars have focused traditionally on stationary gravitational waves: e.g., stochastic or periodic signals. Gravitational wave bursts --- signals whose duration is much shorter…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Lee Samuel Finn , Andrea N. Lommen

The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) has recently reported evidence for the presence of a common stochastic signal across their array of pulsars. The origin of this signal is still unclear. One of the…

High Energy Astrophysical Phenomena · Physics 2021-02-03 Hannah Middleton , Alberto Sesana , Siyuan Chen , Alberto Vecchio , Walter Del Pozzo , Pablo A. Rosado

Incredible progress on the theoretical uncertainty of the spatial correlations of the stochastic gravitational wave (GW) background were recently made. However, it remains to realize the impact of this theoretical uncertainty on PTA cross…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Reginald Christian Bernardo , Kin-Wang Ng