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Fermi LAT observations of gamma-ray pulsars can be used to build a pulsar timing array (PTA) experiment to search for gravitational wave (GW) signals at nanohertz frequencies. At those frequencies, the dominant signal is expected to be a…

Pulsar timing arrays (PTAs) have recently reported compelling evidence for the presence of a gravitational-wave background signal. Mapping the gravitational-wave background is key to understanding how it is formed, since anisotropy is a…

Instrumentation and Methods for Astrophysics · Physics 2026-01-21 Kathrin Grunthal , David J. Champion , Eric Thrane , Rowina S. Nathan , Michael Kramer , Matthew T. Miles

The coalescence of the most massive black hole (MBH) binaries releases gravitational waves (GWs) within the detectable frequency range of Pulsar Timing Arrays (PTAs) $(10^{-9} - 10^{-6})$ Hz. The incoherent superposition of GWs from MBH…

Astrophysics of Galaxies · Physics 2024-02-19 Kate Attard , Alessia Gualandris , Justin I. Read , Walter Dehnen

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

Pulsar timing-array correlation measurements offer an exciting opportunity to test the nature of gravity in the cosmologically novel nanohertz gravitational wave regime. The stochastic gravitational wave background is assumed Gaussian and…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Reginald Christian Bernardo , Kin-Wang Ng

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

Close hyperbolic encounters of black holes (BHs) generate certain Burst With Memory (BWM) events in the frequency windows of the operational, planned, and proposed gravitational wave (GW) observatories. We present detailed explorations of…

Scalar-Induced Gravitational Waves (SIGWs), second-order tensor modes sourced by first-order scalar fluctuations in General Relativity (GR), are expected to contribute to the Stochastic Gravitational Wave Background (SGWB) potentially…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Anjali Abirami Kugarajh , Marisol Traforetti , Andrea Maselli , Sabino Matarrese , Angelo Ricciardone

The gravitational waves (GWs) from supermassive binary black holes (BBHs) are long sought by pulsar timing array experiments (PTAs), in the forms of both a stochastic GW background (GWB) and individual sources. The evidence for a GWB was…

High Energy Astrophysical Phenomena · Physics 2024-09-27 Yunfeng Chen , Qingjuan Yu , Youjun Lu

Recent findings from several Pulsar Timing Array (PTA) collaborations point to the existence of a Gravitational Wave Background (GWB) at nanohertz frequencies. A key next step towards characterizing this signal and identifying its origin is…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni

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

Direct detection of low-frequency gravitational waves ($10^{-9} - 10^{-8}$ Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB)…

In Pulsar Timing Array (PTA) data analysis, noise is typically assumed to be Gaussian, and the marginalized likelihood has a well-established analytical form derived within the framework of Gaussian processes. However, this Gaussianity…

Instrumentation and Methods for Astrophysics · Physics 2026-01-30 Mikel Falxa , Alberto Sesana

NANOGrav, EPTA, PPTA, and CPTA have announced the evidence for a stochastic signal from their latest data sets. Supermassive black hole binaries (SMBHBs) are supposed to be the most promising gravitational-wave (GW) sources of pulsar timing…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-16 Yan-Chen Bi , Yu-Mei Wu , Zu-Cheng Chen , Qing-Guo Huang

In Einstein's general relativity (GR), gravity is described by a massless spin-2 metric field, and the extension of GR to include a mass term for the graviton has profound implication for gravitation and cosmology. Besides the gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Lijing Shao

A new detection method for ultra-low frequency gravitational waves (GWs) with a frequency much lower than the observational range of pulsar timing arrays (PTAs) was suggested in Yonemaru et al. (2016). In the PTA analysis, ultra-low…

High Energy Astrophysical Phenomena · Physics 2018-05-02 Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi , Sachiko Kuroyanagi

The recent discovery of ultra-long wavelength gravitational waves through the advent of pulsar timing arrays (PTA) has opened up new avenues for fundamental science. Here we show that every PTA source will be diffractively lensed by…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-04 Dylan L. Jow , Ue-Li Pen

Supermassive black hole binary systems (SMBHBs) should be the most powerful sources of gravitational waves (GWs) in the Universe. Once Pulsar Timing Arrays (PTAs) detect the stochastic GW background from their cosmic merger history,…

High Energy Astrophysical Phenomena · Physics 2023-06-26 Nicole M. Khusid , Chiara M. F. Mingarelli , Priyamvada Natarajan , J. Andrew Casey-Clyde , Anna Barnacka