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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 between the directions to two pulsars, was…

广义相对论与量子宇宙学 · 物理学 2025-01-24 Bruce Allen , Joseph D. Romano

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they induce in the arrival times of pulses from different pulsars. We assume that the GWs are described by a Gaussian ensemble. The mean correlation $h^2…

广义相对论与量子宇宙学 · 物理学 2023-08-25 Bruce Allen , Joseph D. Romano

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…

高能天体物理现象 · 物理学 2025-11-13 Stephen R. Taylor

Gravitational waves (GWs) create correlations in the arrival times of pulses from different pulsars. The expected correlation $\mu(\gamma)$ as a function of the angle $\gamma$ between the directions to two pulsars was calculated by Hellings…

广义相对论与量子宇宙学 · 物理学 2023-02-27 Bruce Allen

Gravitational waves (GWs) influence the arrival times of radio signals coming from pulsars. Here, we investigate the harmonic space approach to describing a pulsar's response to GWs. We derive and discuss the "diagonalized form" of the…

广义相对论与量子宇宙学 · 物理学 2024-09-06 Bruce Allen

The Hellings-Downs (HD) correlation, which characterizes the signature of a stochastic gravitational wave background measured via Pulsar Timing Arrays (PTA), is derived using a harmonic formalism. This approach closely follows the framework…

广义相对论与量子宇宙学 · 物理学 2025-04-25 Cyril Pitrou , Giulia Cusin

For pulsar timing arrays (PTAs), the telltale signature of an isotropic stochastic background of gravitational waves is a pattern of pairwise interpulsar timing correlations approximately following the Hellings & Downs (HD) curve. Certain…

天体物理仪器与方法 · 物理学 2024-11-01 Dustin R. Madison

The Hellings-Downs (HD) curve plays a crucial role in search for nano-hertz gravitational waves (GWs) with pulsar timing arrays. We discuss the angular pattern of correlations for pulsar pairs within a celestial hemisphere. The…

广义相对论与量子宇宙学 · 物理学 2024-07-03 Tatsuya Sasaki , Kohei Yamauchi , Shun Yamamoto , Hideki Asada

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,…

广义相对论与量子宇宙学 · 物理学 2015-03-30 Fredrick A. Jenet , Joseph D. Romano

Pulsar Timing Array (PTA) observations have recently gathered substantial evidence for the existence of a gravitational wave background in the nHz frequency band. Searching for anisotropies in this signal is key to determining its origin,…

宇宙学与河外天体物理 · 物理学 2024-09-02 Paul Frederik Depta , Valerie Domcke , Gabriele Franciolini , Mauro Pieroni

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

宇宙学与河外天体物理 · 物理学 2026-04-29 Wang-Wei Yu , Bruce Allen

We have begun an exciting era for gravitational wave detection, as several world-leading experiments are breaching the threshold of anticipated signal strengths. Pulsar timing arrays (PTAs) are pan-Galactic gravitational wave detectors that…

天体物理仪器与方法 · 物理学 2015-11-26 Sarah Burke-Spolaor

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…

广义相对论与量子宇宙学 · 物理学 2025-10-31 Elias Fink , Carlo Contaldi , Giorgio Mentasti

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…

广义相对论与量子宇宙学 · 物理学 2025-02-03 Nina Cordes , Andrea Mitridate , Kai Schmitz , Tobias Schröder , Kim Wassner

Gravitational waves (GWs) induce correlated perturbations to the arrival times of pulses from an array of galactic millisecond pulsars. The expected correlations, obtained by averaging over many pairs of pulsars having the same angular…

广义相对论与量子宇宙学 · 物理学 2024-09-27 Deepali Agarwal , Joseph D. Romano

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…

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…

星系天体物理 · 物理学 2018-01-03 Dustin R. Madison , David F. Chernoff , James M. Cordes

Several pulsar-timing array (PTA) collaborations are finding tantalising hints for a stochastic gravitational wave background signal in the nano-Hertz regime. So far, though, no convincing evidence for the expected Hellings-Downs…

广义相对论与量子宇宙学 · 物理学 2022-04-20 Gianmassimo Tasinato

Pulsar timing arrays (PTAs) are being used to search for very low frequency gravitational waves. A gravitational wave signal appears in pulsar timing residuals through two components: one independent of and one dependent on the pulsar's…

高能天体物理现象 · 物理学 2015-06-03 Matthew Pitkin

Pulsar timing arrays (PTAs) will be sensitive to a finite number of gravitational wave (GW) "point" sources (e.g. supermassive black hole binaries). N quiet pulsars with accurately known distances d_{pulsar} can characterize up to 2N/7…

高能天体物理现象 · 物理学 2013-05-30 Latham Boyle , Ue-Li Pen
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