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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

Several Pulsar Timing Array (PTA) collaborations have recently found evidence for a Gravitational Wave Background (GWB) by measuring the perturbations that this background induces in the time-of-arrivals of pulsar signals. These…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-03 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni

Pulsar timing array (PTA) is expected to detect gravitational wave background (GWB) in the nanohertz band within the next decade. This provides an opportunity to test the gravity theory and cosmology. A typical data analysis method to…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Yu Hu , Pan-Pan Wang , Yu-Jie Tan , Cheng-Gang Shao

Pulsar Timing Array (PTA) searches for nHz gravitational-wave backgrounds (GWBs) typically model time-correlated noise by assuming a diagonal covariance in Fourier space, neglecting inter-frequency correlations introduced by the finite…

Instrumentation and Methods for Astrophysics · Physics 2025-06-18 Marco Crisostomi , Rutger van Haasteren , Patrick M. Meyers , Michele Vallisneri

Recent years have seen a burgeoning interest in using pulsar timing arrays (PTAs) as gravitational-wave (GW) detectors. To date, that interest has focused mainly on three particularly promising source types: supermassive--black-hole…

General Relativity and Quantum Cosmology · Physics 2014-02-26 Curt Cutler , Sarah Burke-Spolaor , Michele Vallisneri , Joseph Lazio , Walid Majid

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they create in the arrival times of pulses from different pulsars. The mean correlation, a function of the angle $\gamma$ between the directions to two…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Bruce Allen , Joseph D. Romano

Pulsar timing arrays (PTAs) are used to search for long-wavelength gravitational waves (GWs) by monitoring a set of spin-stable millisecond pulsars. Most theoretical analyses assume that the relevant GW sources are much more distant from…

Astrophysics of Galaxies · Physics 2018-01-03 Dustin R. Madison , David F. Chernoff , James M. Cordes

Supermassive black hole -- host galaxy relations are key to the computation of the expected gravitational wave background (GWB) in the pulsar timing array (PTA) frequency band. It has been recently pointed out that standard relations…

Astrophysics of Galaxies · Physics 2016-09-07 A. Sesana , F. Shankar , M. Bernardi , R. K. Sheth

The recent detection of a stochastic gravitational wave background by pulsar timing arrays has opened a new window in understanding supermassive black hole binaries and in probing the universe at the early time. Recently, pulsar timing…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Fengting Xie , Zhi-Chao Zhao , Qing-Hua Zhu , Xin Li

We carry out the determination of the amplitude of relic gravitational waves power spectrum. Indirect best-fit technique was applied to compare observational data and theory predictions. As observations we have used data on large-scale…

Astrophysics · Physics 2007-05-23 B. Novosyadlyj , S. Apunevych

Gravitational wave (GW) searches using pulsar timing arrays (PTAs) are assumed to be limited by the typical average observational cadence of $1/(2~{\rm weeks})$ for a single pulsar to GW frequencies $\lesssim 4\times 10^{-7}$ Hz. We show…

High Energy Astrophysical Phenomena · Physics 2021-02-10 Yan Wang , Soumya D. Mohanty , Zhoujian Cao

In the nanohertz band, the spatial correlations in pulsar timing arrays (PTAs) produced by interfering gravitational waves (GWs) from multiple sources likely deviate from the traditional ones without interference under the assumption of an…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Yu-Mei Wu , Yan-Chen Bi , Qing-Guo Huang

Fermi LAT observations of gamma-ray pulsars can be used to build a pulsar timing array (PTA) experiment to search for gravitational wave (GW) signals at nanohertz frequencies. At those frequencies, the dominant signal is expected to be a…

The nanohertz stochastic gravitational wave background (SGWB) is an excellent early universe laboratory for testing the fundamental properties of gravity. In this letter, we elucidate on the full potential of pulsar timing array (PTA) by…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Reginald Christian Bernardo , Kin-Wang Ng

Pulsar Timing Array (PTA) experiments have entered a new era with evidence for a nanoHertz gravitational wave background (GWB). This review describes the physics of detection, detailing the noise models and cross-correlation techniques…

High Energy Astrophysical Phenomena · Physics 2026-04-01 C. M. F. Mingarelli , J. A. Casey-Clyde , Y. T. Chang , E. Eisenberg , F. Hutchison , N. Khusid , B. Larsen , A. Moran , F. Semenzato , L. Willson , Q. Zheng

Supermassive black hole binaries are one of the primary targets for gravitational wave searches using pulsar timing arrays. Gravitational wave signals from such systems are well represented by parametrized models, allowing the standard…

Instrumentation and Methods for Astrophysics · Physics 2016-01-25 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

Arrays of precisely-timed millisecond pulsars are used to search for gravitational waves with periods of months to decades. Gravitational waves affect the path of radio pulses propagating from a pulsar to Earth, causing the arrival times of…

High Energy Astrophysical Phenomena · Physics 2025-11-13 Stephen R. Taylor

Within the next several years, pulsar-timing array programs will likely usher in the next era of gravitational-wave astronomy through the detection of a stochastic background of nanohertz-frequency gravitational waves, originating from a…

Instrumentation and Methods for Astrophysics · Physics 2020-10-21 Stephen R. Taylor , Rutger van Haasteren , Alberto Sesana

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

Most analysis of Cosmic Microwave Background spherical harmonic coefficients a_lm has focused on estimating the power spectrum C_l=<|a_lm|^2> rather than the coefficients themselves. We present a minimum-variance method for measuring a_lm…

Astrophysics · Physics 2009-10-07 Angelica de Oliveira-Costa , Max Tegmark