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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

Pulsar timing array (PTA) collaborations recently presented evidence for a gravitational-wave background (GWB) signal at nanohertz frequencies. In this paper, we introduce new refitting techniques for PTA data analysis that elevate related…

General Relativity and Quantum Cosmology · Physics 2025-07-01 David Esmyol , Antonio J. Iovino , Kai Schmitz

Pulsar timing offers an independent avenue to test general relativity and alternative gravity theories. This requires an understanding of how metric polarizations beyond the familiar transverse tensor ones imprint as a stochastic…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Reginald Christian Bernardo , Kin-Wang Ng

Abbreviated: We investigate the potential of detecting the gravitational wave from individual binary black hole systems using pulsar timing arrays (PTAs) and calculate the accuracy for determining the GW properties. This is done in a…

High Energy Astrophysical Phenomena · Physics 2015-05-27 K. J. Lee , N. Wex , M. Kramer , B. W. Stappers , C. G. Bassa , G. H. Janssen , R. Karuppusamy , R. Smits

We present a detailed analysis of the International Pulsar Timing Array (IPTA) Second Mock Data Challenge. We tested our analysis methods using the open datasets, and then analyzed the closed datasets. In both the open and the closed…

Instrumentation and Methods for Astrophysics · Physics 2020-01-01 P. T. Baker , P. R. Brook , W. C. Fiore , N. Garver-Daniels , A. R. Kaiser , M. T. Lam , B. J. Shapiro-Albert , C. A. Witt

We investigate the cross-correlation between astrometric and timing-residual observables for distant sources, such as pulsars and galaxies, and equivalent observables for nearby solar system bodies. Using the unified spin-weighted formalism…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Elias Fink , Carlo Contaldi , Giorgio Mentasti

We discuss the observability of circular polarisation of the stochastic gravitational-wave background (SGWB) generated by helical turbulence following a first-order cosmological phase transition, using a model that incorporates the effects…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-29 John Ellis , Malcolm Fairbairn , Marek Lewicki , Ville Vaskonen , Alastair Wickens

A new model independent method is presented for the analysis of pulsar timing data and the estimation of the spectral properties of an isotropic gravitational wave background (GWB). We show that by rephrasing the likelihood we are able to…

Instrumentation and Methods for Astrophysics · Physics 2013-06-26 Lindley Lentati , Paul Alexander , Michael P. Hobson , Stephen Taylor , Jonathon Gair , Sreekumar T. Balan , Rutger van Haasteren

The detection of compact binary mergers with sub-solar masses at gravitational-wave observatories could mark the groundbreaking discovery of primordial black holes (PBHs). Concurrently, evidence for a nHz stochastic gravitational wave…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 Yann Gouttenoire , Sokratis Trifinopoulos , Miguel Vanvlasselaer

Pulsar timing arrays (PTAs) perform Bayesian posterior inference with expensive MCMC methods. Given a dataset of ~10-100 pulsars and O(10^3) timing residuals each, producing a posterior distribution for the stochastic gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2023-10-20 David Shih , Marat Freytsis , Stephen R. Taylor , Jeff A. Dror , Nolan Smyth

Pulsar Timing Arrays (PTAs) are approaching the sensitivity required for a $5\sigma$ detection of the nanohertz stochastic gravitational-wave background (GWB). This makes it crucial to deeply understand the behaviour of our analysis…

High Energy Astrophysical Phenomena · Physics 2026-05-27 Irene Ferranti , Mikel Falxa , Federico Fantoccoli , Alberto Sesana , Golam Mohiuddin Shaifullah

We demonstrate that the recently announced signal for a stochastic gravitational wave background (SGWB) from pulsar timing array (PTA) observations, if attributed to new physics, is compatible with primordial GW production due to…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Caner Unal , Alexandros Papageorgiou , Ippei Obata

We introduce a technique for gravitational-wave analysis, where Gaussian process regression is used to emulate the strain spectrum of a stochastic background using population-synthesis simulations. This leads to direct Bayesian inference on…

Astrophysics of Galaxies · Physics 2017-05-10 Stephen R. Taylor , Joseph Simon , Laura Sampson

The gravitational waves (GWs) from supermassive binary black holes (BBHs) are long sought by pulsar timing array experiments (PTAs), in the forms of both a stochastic GW background (GWB) and individual sources. The evidence for a GWB was…

High Energy Astrophysical Phenomena · Physics 2024-09-27 Yunfeng Chen , Qingjuan Yu , Youjun Lu

The subtle influence of gravitational waves on the apparent positioning of celestial bodies offers novel observational windows. We calculate the expected astrometric signal induced by an isotropic Stochastic Gravitational Wave Background…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Giorgio Mentasti , Carlo R. Contaldi

Recently, several major pulsar timing array (PTA) collaborations have assembled strong evidence for the existence of a gravitational-wave background at frequencies around the nanohertz regime. Assuming that the PTA signal is attributed to…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-27 Lang Liu , You Wu , Zu-Cheng Chen

Multiple pulsar timing array (PTA) collaborations recently announced the evidence of common-spectral processes caused by gravitational waves (GWs). These can be the stochastic GW background and its origin may be astrophysical and/or…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-05 Keisuke Inomata , Kazunori Kohri , Takahiro Terada

Gravitational waves (GWs) at ultra-low frequencies (${\lesssim 100\,\mathrm{nHz}}$) are key to understanding the assembly and evolution of astrophysical black hole (BH) binaries with masses $\sim 10^{6}-10^{9}\,M_\odot$ at low redshifts.…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-26 Christopher J. Moore , Alberto Vecchio

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…

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