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Pulsar timing now has a rich history in placing limits on the stochastic background of gravitational waves, and we plan soon to reach the sensitivity where we can detect, not just place limits on, the stochastic background. However, the…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Andrea N. Lommen

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

We assess the detectability of a nanohertz gravitational wave (GW) background with respect to additive red and white noise in the timing of millisecond pulsars. We develop detection criteria based on the cross-correlation function summed…

Astrophysics of Galaxies · Physics 2015-05-28 J. M. Cordes , R. M. Shannon

Pulsar timing array collaborations have recently reported evidence for a noise process with a common spectrum among the millisecond pulsars in the arrays. The spectral properties of this common-noise process are consistent with expectations…

Gravitational Waves (GWs) are tiny ripples in the fabric of space-time predicted by Einstein's General Relativity. Pulsar timing arrays (PTAs) are well poised to detect low frequency ($10^{-9}$ -- $10^{-7}$ Hz) GWs in the near future. There…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 J. A. Ellis , F. A. Jenet , M. A. McLaughlin

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

We present an analysis of high-precision pulsar timing data taken as part of the North American Nanohertz Observatory for Gravitational waves (NANOGrav) project. We have observed 17 pulsars for a span of roughly five years using the Green…

Any unambiguous detection of a stochastic gravitational wave background by a pulsar timing array will rest on the measurement of a characteristic angular correlation between pulsars. The ability to measure this correlation will depend on…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Elinore Roebber

We consider the effects of relaxing the assumption that gravitational waves composing the stochastic gravitational wave background (SGWB) are uncorrelated between frequencies in analyses of the data from Pulsar Timing Arrays (PTAs). While…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-30 Wayne Hu , Qiuyue Liang , Meng-Xiang Lin , Mark Trodden

The collection of individually resolvable gravitational wave (GW) events makes up a tiny fraction of all GW signals which reach our detectors, while most lie below the confusion limit and go undetected. Like voices in a crowded room, the…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Arianna I. Renzini , Boris Goncharov , Alexander C. Jenkins , Pat M. Meyers

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

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

Radio pulsars are often used as clocks in a wide variety of experiments. Imperfections in the clock, known as timing noise, have the potential to reduce the significance of, or even thwart e.g. the attempt to find a stochastic gravitational…

High Energy Astrophysical Phenomena · Physics 2019-06-26 Nakornping Namkham , Phrudth Jaroenjittichai , Simon Johnston

We investigate the effects of gravitational waves (GWs) from a simulated population of binary super-massive black holes (SMBHs) on pulsar timing array datasets. We construct a distribution describing the binary SMBH population from an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 V. Ravi , J. S. B. Wyithe , G. Hobbs , R. M. Shannon , R. N. Manchester , D. R. B. Yardley , M. J. Keith

If the cosmological QCD phase transition is strongly first order and lasts sufficiently long, it generates a background of gravitational waves which may be detected via pulsar timing experiments. We estimate the amplitude and the spectral…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Chiara Caprini , Ruth Durrer , Xavier Siemens

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

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

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