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We provide a complete study of the factors influencing gravitational-wave signal localization using pulsar timing arrays. We derive analytical expressions for the Cram\'er-Rao sky localization precision that delineate the impact of the…

High Energy Astrophysical Phenomena · Physics 2026-03-12 Stephen R. Taylor

Analysis of pulsar timing data-sets may provide the first direct detection of gravitational waves. This paper, the third in a series describing the mathematical framework implemented into the tempo2 pulsar timing package, reports on using…

Solar and Stellar Astrophysics · Physics 2009-11-13 G. Hobbs , F. Jenet , K. J. Lee , J. P. W. Verbiest , D. Yardley , R. Manchester , A. Lommen , W. Coles , R. Edwards , C. Shettigara

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

Pulsar timing array projects measure the pulse arrival times of millisecond pulsars for the primary purpose of detecting nanohertz-frequency gravitational waves. The measurements include contributions from a number of astrophysical and…

The pulsar timing array community has recently reported the first evidence of a low-frequency stochastic gravitational wave background. With longer observational timespans we expect to be able to resolve individual gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2024-07-17 Gabriel E. Freedman , Sarah J. Vigeland

We describe the design of a gravitational wave timing array, a novel scheme that can be used to search for low-frequency gravitational waves by monitoring continuous gravitational waves at higher frequencies. We show that observations of…

General Relativity and Quantum Cosmology · Physics 2022-07-25 María José Bustamante-Rosell , Joel Meyers , Noah Pearson , Cynthia Trendafilova , Aaron Zimmerman

A method is suggested to explore the gravitational wave background (GWB) in the frequency range from $10^{-12}$ to \hbox{$10^{-8}$ Hz}. That method is based on the precise measurements of pulsars' rotational parameters: the influence of the…

Instrumentation and Methods for Astrophysics · Physics 2009-10-08 M. S. Pshirkov

We review the motivations for the search of stochastic backgrounds of gravitational waves and we compare the experimental sensitivities that can be reached in the near future with the existing bounds and with the theoretical predictions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Maggiore

Gravitational waves, although generally associated with extremely microscopic effects, can displace by hundreds of kilometers the pulsar interstellar scintillation patterns that bathe the Earth. The combination of the pulsar and the…

Astrophysics · Physics 2008-02-03 Redouane Fakir

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

In order to analyze data produced by the kilometer-scale gravitational wave detectors that will begin operation early next century, one needs to develop robust statistical tools capable of extracting weak signals from the detector noise.…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Jolien D. E. Creighton

Pulsar timing arrays (PTAs) seek to detect a nano-Hz stochastic gravitational-wave background (GWB) by searching for the characteristic Hellings and Downs angular pattern of timing residual correlations. So far, the evidence remains below…

Instrumentation and Methods for Astrophysics · Physics 2025-09-09 Rutger van Haasteren , Bruce Allen , Joseph D. Romano

Pulsars are very stable clocks in space which have many applications to problems in physics and astrophysics. Observations of double-neutron-star binary systems have given the first observational evidence for the existence of gravitational…

High Energy Astrophysical Phenomena · Physics 2010-04-22 R. N. Manchester

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

Pulsar timing, i.e. the analysis of the arrival times of pulses from a pulsar, is a powerful tool in modern astrophysics. It allows us to measure the time delays of an electromagnetic signal caused by a number of physical processes as the…

Instrumentation and Methods for Astrophysics · Physics 2025-02-04 Konstantin A. Postnov , Nataliya K. Porayko , Maxim S. Pshirkov

Pulsars are the most stable macroscopic clocks found in nature. Spinning with periods as short as a few milliseconds, their stability can supersede that of the best atomic clocks on Earth over timescales of a few years. Stable clocks are…

High Energy Astrophysical Phenomena · Physics 2019-03-06 Delphine Perrodin , Alberto Sesana

In the near future we will witness the coming to a full operational regime of laser interferometers and resonant mass detectors of spherical shape. In this work we study the sensitivity of pairs of such gravitational wave detectors to a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Babusci , L. Baiotti , F. Fucito , A. Nagar

Direct detection of low-frequency gravitational waves ($10^{-9} - 10^{-8}$ Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB)…

Pulsar Timing Arrays have recently reported strong evidence for a stochastic gravitational wave background. In standard analyses, it is modeled through pulsar-dependent Fourier coefficients assumed to follow gaussian statistics, so that the…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Adrien Kuntz , Clemente Smarra , Massimo Vaglio