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Pulsar timing arrays (PTAs) are limited in localizing nanohertz continuous gravitational waves (CGWs) by uncertainties in pulsar distances. We introduce a method to infer pulsar distances in two dimensions, using phase information from the…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Si-Ren Xiao , Ji-Yu Song , Yue Shao , Ling-Feng Wang , Jing-Fei Zhang , Xin Zhang

The announcement in the summer of 2023 about the discovery of evidence for a gravitational wave background (GWB) using pulsar timing arrays (PTAs) has ignited both the PTA and the larger scientific community's interest in the experiment and…

Instrumentation and Methods for Astrophysics · Physics 2025-04-22 Nima Laal , Stephen R. Taylor , Rutger van Haasteren , William G Lamb , Xavier Siemens

Gravitational-wave astronomy has developed enormously over the last decade, with the first detections and continuous development across broad frequency bands. However, the decihertz range has largely been left out of this development.…

Instrumentation and Methods for Astrophysics · Physics 2026-05-06 Lucas M. B. Alves , Andrew G. Sullivan , Xingyu Ji , Doğa Veske , Imre Bartos , Sebastian Will , Zsuzsa Márka , Szabolcs Márka

Pulsar timing arrays (PTAs) are ensembles of millisecond pulsars observed for years to decades. The primary goal of PTAs is to study gravitational-wave astronomy at nanohertz frequencies, with secondary goals of undertaking other…

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

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)…

Detecting continuous nanohertz gravitational waves (GWs) generated by individual close binaries of supermassive black holes (CB-SMBHs) is one of the primary objectives of pulsar timing arrays (PTAs). The detection sensitivity is slated to…

Instrumentation and Methods for Astrophysics · Physics 2021-12-08 Yu-Yang Songsheng , Yi-Qian Qian , Yan-Rong Li , Pu Du , Jie-Wen Chen , Yan Wang , Soumya D. Mohanty , Jian-Min Wang

As pulsar timing arrays (PTAs) transition into the detection era of the stochastic gravitational wave background (GWB), it is important for PTA collaborations to review and possibly revise their observing campaigns. The detection of a…

High Energy Astrophysical Phenomena · Physics 2024-12-18 Jeremy G. Baier , Jeffrey S. Hazboun , Joseph D. Romano

The pulsar timing array (PTA) collaborations have recently suggested the presence of a gravitational wave background at nano-Hertz frequencies. In this paper, we explore potential inflationary interpretation of this signal within the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-14 Chengjie Fu , Jing Liu , Xing-Yu Yang , Wang-Wei Yu , Yawen Zhang

The pattern of neutrino flavor oscillations could be altered by the influence of noisy perturbations such as those arising from a gravitational wave background (GWB). A stochastic process that is consistent with a GWB has been recently…

High Energy Astrophysical Phenomena · Physics 2024-01-17 Gaetano Lambiase , Leonardo Mastrototaro , Luca Visinelli

The recent announcement of evidence for a stochastic background of gravitational waves (GWB) in pulsar timing array (PTA) data has piqued interest across the scientific community. A combined analysis of all currently available data holds…

Instrumentation and Methods for Astrophysics · Physics 2025-09-01 Serena Valtolina , Rutger van Haasteren

The nanohertz gravitational wave background (GWB) is expected to be an aggregate signal of an ensemble of gravitational waves emitted predominantly by a large population of coalescing supermassive black hole binaries in the centres of…

Within the next several years pulsar timing arrays (PTAs) are positioned to detect the stochastic gravitational-wave background (GWB) likely produced by the collection of inspiralling super-massive black holes binaries, and potentially…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Yacine Ali-Haïmoud , Tristan L. Smith , Chiara M. F. Mingarelli

Pulsar timing arrays (PTAs) are currently the only experiments directly sensitive to gravitational waves with decade-long periods. Within the next five to ten years, PTAs are expected to detect the stochastic gravitational-wave background…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Yacine Ali-Haïmoud , Tristan L. Smith , Chiara M. F. Mingarelli

Pulsar Timing Arrays (PTAs) are a collection of precisely timed millisecond pulsars (MSPs) that can search for gravitational waves (GWs) in the nanohertz frequency range by observing characteristic signatures in the timing residuals. The…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Brian Christy , Ryan Anella , Andrea Lommen , Lee Samuel Finn , Richard Camuccio , Emma Handzo

The recent discovery of ultra-long wavelength gravitational waves through the advent of pulsar timing arrays (PTA) has opened up new avenues for fundamental science. Here we show that every PTA source will be diffractively lensed by…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-04 Dylan L. Jow , Ue-Li Pen

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…

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

Pulsar timing arrays (PTAs) can be used to search for very low frequency ($10^{-9}$--$10^{-7}$ Hz) gravitational waves (GWs). In this paper we present a general method for the detection and localization of single-source GWs using PTAs. We…

Instrumentation and Methods for Astrophysics · Physics 2015-03-27 Xing-Jiang Zhu , Linqing Wen , George Hobbs , Yilin Zhang , Yan Wang , Dustin R. Madison , Richard N. Manchester , Matthew Kerr , Pablo A. Rosado , Jingbo Wang