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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

We investigate observational signatures of ultralight vector dark matter with masses $m \sim 10^{-24}$-$10^{-22}$ eV in pulsar timing arrays, taking into account general polarization states of the vector field. We find that vector dark…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-16 Kimihiro Nomura , Hidetoshi Omiya , Takahiro Tanaka

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

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…

General Relativity and Quantum Cosmology · Physics 2025-01-24 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…

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

The Hellings and Downs correlation curve describes the correlation of the timing residuals from pairs of pulsars as a function of their angular separation on the sky and is a smoking-gun signature for the detection of an isotropic…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Alex Kehagias , Antonio Riotto

Recently, the Hellings Downs correlation has been observed by different pulsar timing array (PTA) collaborations, such as NANOGrav, European PTA, Parkes PTA, and Chinese PTA. These PTA measurements of the most precise pulsars within the…

High Energy Physics - Phenomenology · Physics 2024-12-02 Jing Yang , Ning Xie , Fa Peng Huang

Pulsar timing array (PTA) collaborations have recently reported evidence of stochastic gravitational waves. Besides gravitational wave signals from cosmological or astrophysical origins, PTAs are also capable of detecting coherently…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Qing-Hua Zhu

We answer frequently asked questions (FAQs) about the Hellings and Downs correlation curve -- the "smoking-gun" signature that pulsar timing arrays (PTAs) have detected gravitational waves (GWs). Many of these questions arise from…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Joseph D. Romano , Bruce Allen

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…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Tatsuya Sasaki , Kohei Yamauchi , Shun Yamamoto , Hideki Asada

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

Pulsar Timing Arrays (PTAs) offer an independent method for searching for ultralight dark matter (ULDM), whose wavelike nature induces periodic oscillations in the arrival times of radio pulses. In addition to this gravitational effect, the…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Yu-Mei Wu , Qing-Guo Huang

The past decade has been a transformative period for pulsar timing arrays (PTAs) and their search for nanohertz gravitational waves (GWs). This progress has been driven by collective advances in instrumentation for pulsar timing…

High Energy Astrophysical Phenomena · Physics 2026-02-17 Kuo Liu , Siyuan Chen

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…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Bruce Allen , Joseph D. Romano

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…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Gianmassimo Tasinato

Pulsar timing array (PTA) experiments have recently provided strong evidence for the signal of the stochastic gravitational wave background (SGWB) in the nHz-frequency band. These experiments have shown a statistical preference for the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-18 Rubén Arjona , Savvas Nesseris , Sachiko Kuroyanagi

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 array (PTA) collaborations in North America, Australia, and Europe, have been exploiting the exquisite timing precision of millisecond pulsars over decades of observations to search for correlated timing deviations induced by…

The angular correlation of pulsar residuals observed by NANOGrav and other pulsar timing array (PTA) collaborations show evidence in support of the Hellings-Downs correlation expected from stochastic gravitational wave background (SGWB). In…

High Energy Physics - Phenomenology · Physics 2024-10-03 Debtosh Chowdhury , Arpan Hait , Subhendra Mohanty , Suraj Prakash

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,…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 Paul Frederik Depta , Valerie Domcke , Gabriele Franciolini , Mauro Pieroni
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