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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

The signals from international pulsar timing arrays have presented a hint of gravitational stochastic background in nHz band frequency. Further confirmation will be based on whether the signals follow the angular correlation curves…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Qing-Hua Zhu

Pulsar timing arrays seek and study gravitational waves (GWs) through the angular two-point correlation function of timing residuals they induce in pulsars. The two-point correlation function induced by the standard transverse-traceless GWs…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-24 Neha Anil Kumar , Marc Kamionkowski

Several papers have recently calculated the contribution to pulsar timing array overlap reduction functions (ORFs) induced by our peculiar velocity with respect to the rest frame of the stochastic gravitational-wave background. Here we show…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Neha Anil Kumar , Keisuke Inomata , Marc Kamionkowski

Detection of a gravitational-wave stochastic background via ground or space-based gravitational-wave detectors requires the cross-correlation of the response of two or more independent detectors. The cross-correlation involves a…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Lee Samuel Finn , Shane L. Larson , Joseph D. Romano

We present an efficient technique for calculating the angular two-point correlation functions (or ``overlap reduction functions'') induced by gravitational waves in both the pulse arrival times of pulsars and in the angular deflections of…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-27 Keisuke Inomata , Marc Kamionkowski , Celia M. Toral , Stephen R. Taylor

The positive evidence of a nano-hertz gravitational wave background recently found by several pulsar timing array (PTA) collaborations opened up a window to test modified gravity theories in a unique frequency band in parallel to other…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-21 Qiuyue Liang , Ippei Obata , Misao Sasaki

The pulsar timings are sensitive to both the nanohertz gravitational-wave background and the oscillation of ultralight dark matter. The Hellings-Downs angular correlation curve provides a criterion to search for stochastic…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Rong-Gen Cai , Jing-Rui Zhang , Yun-Long Zhang

A successful measurement of the Stochastic Gravitational Wave Background (SGWB) in Pulsar Timing Arrays (PTAs) would open up a new window through which to test the predictions of General Relativity (GR). We consider how these measurements…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Qiuyue Liang , Meng-Xiang Lin , Mark Trodden

We report on our update to [1] on the hadronic running of electroweak couplings from $O(a)$-improved Wilson fermions with $N_f=2+1$ flavours. The inclusion of additional ensembles at very fine lattice spacings together with a number of…

High Energy Physics - Lattice · Physics 2025-02-17 Alessandro Conigli , Georg von Hippel , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

We explore the potential of Pulsar Timing Arrays (PTAs) such as NANOGrav, EPTA, and PPTA to detect the Stochastic Gravitational Wave Background (SGWB) in theories of massive gravity. In General Relativity, the function describing the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Qiuyue Liang , Mark Trodden

The Hellings-Downs (HD) correlation serves as the fundamental benchmark for detecting the gravitational-wave background (GWB) in pulsar timing arrays (PTAs) within General Relativity (GR). However, this canonical signature relies on the…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Yan-Chen Bi , Yu-Mei Wu , Qing-Guo Huang

Periodic spatial variations of some parameter arise in analogue gravity experiments aimed at detecting the analogue version of the Hawking effect in a white hole flow. Having the same spatial periodicity as low-frequency dispersive modes,…

General Relativity and Quantum Cosmology · Physics 2018-04-23 Florent Michel , Renaud Parentani , Scott Robertson

We study the impact of a minimal length, implied by generalized uncertainty principles and quantum gravity models, on unbounded (scattering) trajectories in the Kepler problem. The analysis is based on the precession of the Hamilton vector,…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Mykola Samar , Mariia Seniak

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

When the gravitational lensing of the large-scale structure is calculated from a cosmological model a few assumptions enter: $(i)$ one assumes that the photons follow unperturbed background geodesics, which is usually referred to as the…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Carolina Cuesta-Lazaro , Arnau Quera-Bofarull , Robert Reischke , Bjoern Malte Schaefer

In non-central relativistic heavy ion collisions, the created matter possesses a large initial orbital angular momentum. Particles produced in the collisions could be polarized globally in the direction of the orbital angular momentum due…

Nuclear Theory · Physics 2018-03-15 Shaowei Lan , Zi-Wei Lin , Shusu Shi , Xu Sun

Searches for stochastic gravitational-wave backgrounds using pulsar timing arrays look for correlations in the timing residuals induced by the background across the pulsars in the array. The correlation signature of an isotropic,…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Fredrick A. Jenet , Joseph D. Romano

We present a unified spin-weighted harmonic framework that delivers analytic, diagonal expressions for the overlap (correlation) functions of three low frequency gravitational wave observables-pulsar timing redshifts, astrometric…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-30 Giorgio Mentasti , Carlo R. Contaldi

We consider the effect of a small cut-off epsilon on the velocity of a traveling wave in one dimension. Simulations done over more than ten orders of magnitude as well as a simple theoretical argument indicate that the effect of the cut-off…

Condensed Matter · Physics 2009-10-31 Eric Brunet , Bernard Derrida
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