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Gravitational wave background results from the superposition of gravitational waves generated from all sources across the Universe. Previous efforts on detecting such a background with pulsar timing arrays assume it is an isotropic Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Xihao Deng

Pulsar timing arrays (PTAs) provide a way to detect gravitational waves (GWs) at nanohertz frequencies. To ensure the detection of GWs, observational data must exhibit the Hellings-Downs angular correlation. It is also known that PTAs can…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-25 Hidetoshi Omiya , Kimihiro Nomura , Jiro Soda

The pulsar timing residuals induced by gravitational waves from non-evolving single binary sources are affected by many parameters related to the relative positions of the pulsar and the gravitational wave sources. We will fully analyze the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Ming-Lei Tong , Cheng-Shi Zhao , Bao-Rong Yan , Ting-Gao Yang , Yu-Ping Gao

The gravitational wave radiation emitted by all, resolved and unresolved, astrophysical sources in the observable universe generates a stochastic background. This background has a directional dependence inherited from the inhomogeneities of…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-27 Giulia Cusin , Cyril Pitrou , Jean-Philippe Uzan

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

The detection of a stochastic background of low-frequency gravitational waves by pulsar-timing and astrometric surveys will enable tests of gravitational theories beyond general relativity. These theories generally permit gravitational…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Wenzer Qin , Kimberly K. Boddy , Marc Kamionkowski

We suggest a new approach to the detection of gravitational waves using observations of a group of millisecond pulsars. In contrast to the usual method, based on increasing the accuracy of the arrival times of pulses by excluding possible…

Instrumentation and Methods for Astrophysics · Physics 2011-07-26 Alexander E. Rodin

Pulsar-timing arrays (PTAs) are seeking gravitational waves from supermassive-black-hole binaries, and there are prospects to complement these searches with stellar-astrometry measurements. Theorists still disagree, however, as to whether…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-19 Selim C. Hotinli , Marc Kamionkowski , Andrew H. Jaffe

The relationship between pulsar-like compact stars and gravitational waves is briefly reviewed. Due to regular spins, pulsars could be useful tools for us to detect ~nano-Hz low-frequency gravitational waves by pulsar-timing array…

High Energy Astrophysical Phenomena · Physics 2011-09-14 K. J. Lee , R. X. Xu , G. J. Qiao

We describe the signatures of a circularly polarized gravitational-wave background on the timing residuals obtained with pulsar-timing arrays. Most generally, the circular polarization will depend on the gravitational-wave direction, and we…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-08 Enis Belgacem , Marc Kamionkowski

Localized astronomical sources like a double stellar system, rotating neutron star, or a massive black hole at the center of the Milky Way emit periodic gravitational waves. For a long time only a far-zone contribution of gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

By regularly monitoring the most stable millisecond pulsars over many years, pulsar timing arrays (PTAs) are positioned to detect and study correlations in the timing behaviour of those pulsars. Gravitational waves (GWs) from supermassive…

We provide an observation method for gravitational waves using a pulsar timing array to extend the observational frequency range up to the rotational frequency of pulsars. For this purpose, we perform an analysis of a perturbed…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Chan Park

We study how to probe bispectra of stochastic gravitational waves with pulsar timing arrays. The bispectrum is a key to probe the origin of stochastic gravitational waves. In particular, the shape of the bispectrum carries valuable…

General Relativity and Quantum Cosmology · Physics 2019-03-25 Makoto Tsuneto , Asuka Ito , Toshifumi Noumi , Jiro Soda

Pulsar timing array projects are carrying out high precision observations of millisecond pulsars with the aim of detecting ultra-low frequency (~ 10^{-9} to 10^{-8} Hz) gravitational waves. We show how unambiguous detections of such waves…

Solar and Stellar Astrophysics · Physics 2015-05-19 George Hobbs

Pulsar Timing Array (PTA) searches for gravitational waves (GWs) aim to detect a characteristic correlation pattern in the timing residuals of galactic millisecond pulsars. This pattern is described by the PTA overlap reduction function…

General Relativity and Quantum Cosmology · Physics 2025-02-03 Nina Cordes , Andrea Mitridate , Kai Schmitz , Tobias Schröder , Kim Wassner

We investigate the potential to detect low-frequency gravitational waves (GWs) through their imprints on the proper motions of distant quasars observed by the Gaia mission. Using astrometric data from Gaia DR3, we simulate the effect of GWs…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 V. Akhmetov , L. Filipello , M. Crosta , M. G. Lattanzi , B. Bucciarelli , U. Abbas , F. Santucci

Gravitational waves (GW) are expected to interact with dark energy and dark matter, affecting their propagation on cosmological scales. In order to model this interaction, we derive a gauge invariant effective equation and action valid for…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-29 Antonio Enea Romano

We investigate the matching of continuous gravitational wave (CGW) signals in an all sky search with reference to Earth based laser interferometric detectors. We consider the source location as the parameters of the signal manifold and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 S. K. Sahay

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
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