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Mapping gravitational-wave background (GWB) anisotropy with pulsar timing arrays (PTAs) is affected by harmonic-space mode suppression and mode coupling arising from an array's nonuniform sky response. Spherical harmonic expansions must be…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Deepali Agarwal , Joseph D. Romano , Yacine Ali-Haïmoud , Tristan L. Smith

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

Recent pulsar timing array (PTA) analyses show evidence for a gravitational wave background (GWB) with angular correlations consistent with the Hellings-Downs curve. Anisotropies are a key discriminator of the origin of this GWB, as they…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-01 Valerie Domcke , Gabriele Franciolini , Mauro Pieroni

We extend our previous work on applying CMB techniques to the mapping of gravitational-wave backgrounds to backgrounds which have non-GR polarisations. Our analysis and results are presented in the context of pulsar-timing array…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Jonathan R. Gair , Joseph D. Romano , Stephen R. Taylor

A number of pulsar timing arrays have recently reported preliminary evidence for the existence of a nanohertz frequency gravitational-wave background. These analyses rely on detailed noise analyses, which are inherently complex due to the…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Valentina Di Marco , Andrew Zic , Ryan M. Shannon , Eric Thrane

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

The sensitivity of Pulsar Timing Arrays to gravitational waves depends on the noise present in the individual pulsar timing data. Noise may be either intrinsic or extrinsic to the pulsar. Intrinsic sources of noise will include rotational…

Pulsar timing arrays (PTA) hunt for gravitational waves (GW) by searching for the correlations that GWs induce in the time-of-arrival residuals from different pulsars. If the GW sources are of astrophysical origin, then they are located at…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Bruce Allen , Deepali Agarwal , Joseph D. Romano , Serena Valtolina

Pulsar timing uses the highly stable pulsar spin period to investigate many astrophysical topics. In particular, pulsar timing arrays make use of a set of extremely well-timed pulsars and their time correlations as a challenging detector of…

Astrophysics of Galaxies · Physics 2021-12-16 Michele Maiorano , Francesco De Paolis , Achille A. Nucita

Pulsar Timing Array projects have found evidence of a stochastic background of gravitational waves (GWB) using data from an ensemble of pulsars. In the literature, minimal assumptions are made about the signal and noise processes that…

Instrumentation and Methods for Astrophysics · Physics 2024-11-28 Rutger van Haasteren

We study the observation of stochastic gravitational-wave background (SGWB) made by pulsar-timing arrays in the spherical harmonic space. Instead of using the Shapiro time delay, we keep the Sachs-Wolfe line-of-sight integral for the timing…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Guo-Chin Liu , Kin-Wang Ng

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

Recent findings from several Pulsar Timing Array (PTA) collaborations point to the existence of a Gravitational Wave Background (GWB) at nanohertz frequencies. A key next step towards characterizing this signal and identifying its origin is…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni

Angular anisotropy techniques for cosmic diffuse radiation maps are powerful probes, even for quite small data sets. A popular observable is the angular power spectrum; we present a detailed study applicable to any unbinned source skymap…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Sheldon S. Campbell

One of the most exciting targets of current and future gravitational-wave observations is the angular power spectrum of the astrophysical GW background. This cumulative signal encodes information about the large-scale structure of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-25 Nikolaos Kouvatsos , Alexander C. Jenkins , Arianna I. Renzini , Joseph D. Romano , Mairi Sakellariadou

We investigate the correlation between the distribution of galaxies and the predicted gravitational-wave background of astrophysical origin. We show that the large angular scale anisotropies of this background are dominated by nearby…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-19 Guadalupe Cañas-Herrera , Omar Contigiani , Valeri Vardanyan

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…

Pulsar-timing arrays (PTAs) are in the near future expected to detect a stochastic gravitational-wave background (SGWB) produced by a population of inspiralling super-massive black hole binaries. In this work, we consider a background that…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-20 Gabriela Sato-Polito , Marc Kamionkowski

Massive black holes are key ingredients of the assembly and evolution of cosmic structures. Pulsar Timing Arrays (PTAs) currently provide the only means to observe gravitational radiation from massive black hole binary systems with masses…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-27 A. Sesana , A. Vecchio

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs