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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…

Observations of low-frequency gravitational waves will require the highest possible timing precision from an array of the most spin-stable pulsars. We can improve the sensitivity of a pulsar timing array (PTA) to different…

High Energy Astrophysical Phenomena · Physics 2018-11-28 M. T. Lam

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

In this work we derive two computationally efficient frequentist detection statistics that can be used in searches for gravitational-wave bursts with memory in pulsar timing data. By maximizing the likelihood ratio in two different ways we…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jerry P. Sun , Xavier Siemens , Dustin R. Madison

Gravitational waves with frequencies below 1~nHz are notoriously difficult to detect. With periods exceeding current experimental lifetimes, they induce slow drifts in observables rather than periodic correlations. Observables with…

High Energy Astrophysical Phenomena · Physics 2024-03-12 William DeRocco , Jeff A. Dror

Long-term precise timing of Galactic millisecond pulsars holds great promise for measuring the long-period (months-to-years) astrophysical gravitational waves. Several gravitational-wave observational programs, called Pulsar Timing Arrays…

Astrophysics · Physics 2009-11-13 Rutger van Haasteren , Yuri Levin , Patrick McDonald , Tingting Lu

The maximum likelihood method is often used for parameter estimation in gravitational wave astronomy. Recently, an interesting approach was proposed by Vallisneri to evaluate the distributions of parameter estimation errors expected for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Naoki Seto , Koutarou Kyutoku

Pulsar Timing Array (PTA) observations have recently gathered substantial evidence for the existence of a gravitational wave background in the nHz frequency band. Searching for anisotropies in this signal is key to determining its origin,…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 Paul Frederik Depta , Valerie Domcke , Gabriele Franciolini , Mauro Pieroni

The stochastic gravitational-wave background is imprinted on the times of arrival of radio pulses from millisecond pulsars. Traditional pulsar timing analyses fit a timing model to each pulsar and search the residuals of the fit for a…

High Energy Astrophysical Phenomena · Physics 2023-11-13 William DeRocco , Jeff A. Dror

A valuable target for advanced gravitational-wave detectors is the stochastic gravitational-wave background. The stochastic background imparts a weak correlated signal into networks of gravitational-wave detectors, and so standard searches…

High Energy Astrophysical Phenomena · Physics 2018-12-26 Thomas Callister , Michael Coughlin , Jonah Kanner

We study the detectability of circular polarization in a stochastic gravitational wave background from various sources such as supermassive black hole binaries, cosmic strings, and inflation in the early universe with pulsar timing arrays.…

General Relativity and Quantum Cosmology · Physics 2016-03-24 Ryo Kato , Jiro Soda

Pulsar Timing Arrays search for nanohertz-frequency gravitational waves by regularly observing ensembles of millisecond pulsars over many years to look for correlated timing residuals. Recently the first evidence for a stochastic…

In the next decade gravitational waves might be detected using a pulsar timing array. In an effort to develop optimal detection strategies for stochastic backgrounds of gravitational waves in generic metric theories of gravity, we…

High Energy Astrophysical Phenomena · Physics 2013-05-30 Sydney J. Chamberlin , Xavier Siemens

At nanohertz frequencies gravitational waves (GWs) cause variations in time-of-arrival of pulsar signals potentially measurable via precision timing observations. Here we compute very-low-frequency GW sensitivity constrained by…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Fredrick A. Jenet , J. W. Armstrong , Massimo Tinto

Gravitational wave (GW) astrophysics is entering a multi-band era with upcoming GW detectors, enabling detailed mapping of the stochastic GW background across vast frequencies. We highlight this potential via a new physics scenario: hybrid…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Yunjia Bao , Tore Boybeyi , Vuk Mandic , Lian-Tao Wang

We present a systematic study of likelihood functions used for Stochastic Gravitational Wave Background (SGWB) searches. By dividing the data into many short segments, one customarily takes advantage of the Central Limit Theorem to justify…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Gabriele Franciolini , Mauro Pieroni , Angelo Ricciardone , Joseph D. Romano

We searched for an isotropic stochastic gravitational wave background in the second data release of the International Pulsar Timing Array, a global collaboration synthesizing decadal-length pulsar-timing campaigns in North America, Europe,…

High Energy Astrophysical Phenomena · Physics 2022-01-12 J. Antoniadis , Z. Arzoumanian , S. Babak , M. Bailes , A. -S. Bak Nielsen , P. T. Baker , C. G. Bassa , B. Becsy , A. Berthereau , M. Bonetti , A. Brazier , P. R. Brook , M. Burgay , S. Burke-Spolaor , R. N. Caballero , J. A. Casey-Clyde , A. Chalumeau , D. J. Champion , M. Charisi , S. Chatterjee , S. Chen , I. Cognard , J. M. Cordes , N. J. Cornish , F. Crawford , H. T. Cromartie , K. Crowter , S. Dai , M. E. DeCesar , P. B. Demorest , G. Desvignes , T. Dolch , B. Drachler , M. Falxa , E. C. Ferrara , W. Fiore , E. Fonseca , J. R. Gair , N. Garver-Daniels , B. Goncharov , D. C. Good , E. Graikou , L. Guillemot , Y. J. Guo , J. S. Hazboun , G. Hobbs , H. Hu , K. Islo , G. H. Janssen , R. J. Jennings , A. D. Johnson , M. L. Jones , A. R. Kaiser , D. L. Kaplan , R. Karuppusamy , M. J. Keith , L. Z. Kelley , M. Kerr , J. S. Key , M. Kramer , M. T. Lam , W. G. Lamb , T. J. W. Lazio , K. J. Lee , L. Lentati , K. Liu , J. Luo , R. S. Lynch , A. G. Lyne , D. R. Madison , R. A. Main , R. N. Manchester , A. McEwen , J. W. McKee , M. A. McLaughlin , M. B. Mickaliger , C. M. F. Mingarelli , C. Ng , D. J. Nice , S. Os lowski , A. Parthasarathy , T. T. Pennucci , B. B. P. Perera , D. Perrodin , A. Petiteau , N. S. Pol , N. K. Porayko , A. Possenti , S. M. Ransom , P. S. Ray , D. J. Reardon , C. J. Russell , A. Samajdar , L. M. Sampson , S. Sanidas , J. M. Sarkissian , K. Schmitz , L. Schult , A. Sesana , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. Simon , T. L. Smith , L. Speri , R. Spiewak , I. H. Stairs , B. W. Stappers , D. R. Stinebring , J. K. Swiggum , S. R. Taylor , G. Theureau , C. Tiburzi , M. Vallisneri , E. van der Wateren , A. Vecchio , J. P. W. Verbiest , S. J. Vigeland , H. Wahl , J. B. Wang , J. Wang , L. Wang , C. A. Witt , S. Zhang , X. J. Zhu

Detecting a stochastic gravitational wave background requires that we first understand and model any astrophysical foregrounds. In the millihertz frequency band, the predominate foreground signal will be from unresolved white dwarf binaries…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Matthew R. Adams , Neil J. Cornish

The characterization of nanohertz-frequency gravitational waves (GWs) with pulsar-timing arrays requires a continual expansion of datasets and monitored pulsars. Whereas detection of the stochastic GW background is predicated on measuring a…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Stephen R. Taylor , Joseph Simon , Levi Schult , Nihan Pol , William G. Lamb

A low-frequency gravitational-wave background (GWB) from the cosmic merger history of supermassive black holes is expected to be detected in the next few years by pulsar timing arrays. A GWB induces distinctive correlations in the pulsar…

Instrumentation and Methods for Astrophysics · Physics 2018-10-30 Chiara M. F. Mingarelli , Angelo B. Mingarelli