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For the first time, the expected stochastic gravitational wave background is probably discovered after observing the Hellings Downs correlation curve by several pulsar timing array (PTA) collaborations around the globe including NANOGrav,…

High Energy Physics - Phenomenology · Physics 2024-02-14 Siyu Jiang , Aidi Yang , Jiucheng Ma , Fa Peng Huang

Pulsar timing arrays (PTAs) are sensitive to oscillations in the gravitational potential along the line-of-sight due to ultralight particle pressure. We calculate the probing power of PTAs for ultralight bosons across all frequencies, from…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-12 Caner Unal , Federico R. Urban , Ely D. Kovetz

Pulsar timing arrays (PTAs) can detect disturbances in the fabric of spacetime on a galactic scale by monitoring the arrival time of pulses from millisecond pulsars (MSPs). Recent advancements have enabled the use of $\gamma$-ray radiation…

High Energy Astrophysical Phenomena · Physics 2024-03-14 Hoang Nhan Luu , Tao Liu , Jing Ren , Tom Broadhurst , Ruizhi Yang , Jie-Shuang Wang , Zhen Xie

Ultralight axionlike dark matter (ALDM) is a leading candidate in the dark matter realm, characterized by its prominent wave properties on astronomical scales. Pulsar timing arrays (PTAs) and Pulsar polarization arrays (PPAs) aim to detect…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-03 Ximeng Li , Yonghao Liu , Zu-Cheng Chen , Shi Dai , Boris Goncharov , Xiao-Song Hu , Qing-Guo Huang , Tao Liu , Jing Ren , Yu-Mei Wu , Xiao Xue , Xingjiang Zhu

An astrophysical population of supermassive black hole binaries is thought to be the strongest source of gravitational waves in the frequency range covered by Pulsar Timing Arrays (PTAs). A potential cause for concern is that the standard…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Neil J. Cornish , A. Sesana

Ultralight dark matter may couple quadratically to Standard Model particles. Such quadratic interactions give rise to both coherent and stochastic signals in pulsar timing array (PTA) observations. In this work, we characterize these…

High Energy Physics - Phenomenology · Physics 2026-05-28 Xucheng Gan , Hyungjin Kim , Andrea Mitridate

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

A coherently oscillating ultra-light axion can behave as dark matter. In particular, its coherently oscillating pressure perturbations can source an oscillating scalar metric perturbation, with a characteristic oscillation frequency which…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-02 Jai-chan Hwang , Donghui Jeong , Hyerim Noh , Clemente Smarra

Dark matter substructure on small scales is currently weakly constrained, and its study may shed light on the nature of the dark matter. In this work we study the gravitational effects of dark matter substructure on measured pulsar phases…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-06 Harikrishnan Ramani , Tanner Trickle , Kathryn M. Zurek

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…

General Relativity and Quantum Cosmology · Physics 2025-04-25 Cyril Pitrou , Giulia Cusin

Millisecond pulsars are extremely precise celestial clocks: as they rotate, the beamed radio waves emitted along the axis of their magnetic field can be detected with radio telescopes, which allows for tracking subtle changes in the…

Pulsar timing arrays (PTAs) provide a way to detect gravitational waves at nanohertz frequencies. In this band, the most likely signals are stochastic, with a power spectrum that rises steeply at lower frequencies. Indeed, the observation…

Instrumentation and Methods for Astrophysics · Physics 2023-06-02 Bruce Allen , Sanjeev Dhurandhar , Yashwant Gupta , Maura McLaughlin , Priyamvada Natarajan , Ryan M. Shannon , Eric Thrane , Alberto Vecchio

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…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Elias Fink , Carlo Contaldi , Giorgio Mentasti

Pulsar timing arrays (PTA) are a promising probe to the cosmologically novel nanohertz gravitational wave (GW) regime through the stochastic GW background. In this work, we consider subluminal GW modes as a possible source of correlations…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Reginald Christian Bernardo , Kin-Wang Ng

Pulsar Timing Arrays (PTAs) have recently found strong evidence for low-frequency gravitational waves (GWs) in the nanohertz frequency regime. As GWs pass, they produce deviations in measured lengths and light-travel times. PTA experiments…

High Energy Astrophysical Phenomena · Physics 2025-05-05 Luke Zoltan Kelley

Pulsar timing arrays (PTAs) will enable the detection of nanohertz gravitational waves (GWs) from a population of supermassive binary black holes (SMBBHs) in the next $\sim 3-7$ years. In addition, PTAs provide a rare opportunity to probe…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Xavier Siemens , Jeffrey S. Hazboun , Paul T. Baker , Sarah Burke-Spolaor , Dustin Madison , Chiara Mingarelli , Joseph Simon , Tristan Smith

Pulsar Timing Arrays (PTAs) are exceptionally sensitive detectors in the frequency band $\text{nHz} \lesssim f \lesssim \mu\text{Hz}$. Ultralight dark matter (ULDM), with mass in the range $10^{-23}\,\text{eV} \lesssim m_\phi \lesssim…

High Energy Physics - Phenomenology · Physics 2022-09-14 David E. Kaplan , Andrea Mitridate , Tanner Trickle

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…

Instrumentation and Methods for Astrophysics · Physics 2015-11-26 Sarah Burke-Spolaor

Recent evidence for stochastic gravitational waves reported by pulsar timing array (PTA) collaborations might open a new window for studying cosmology and astrophysical phenomena. In addition to signals from gravitational waves, there is…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Qing-Hua Zhu

Pulsar timing is a technique that uses the highly stable spin periods of neutron stars to investigate a wide range of topics in physics and astrophysics. Pulsar timing arrays (PTAs) use sets of extremely well-timed pulsars as a Galaxy-scale…

Instrumentation and Methods for Astrophysics · Physics 2021-10-05 J. P. W. Verbiest , S. Oslowski , S. Burke-Spolaor