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We introduce a technique for gravitational-wave analysis, where Gaussian process regression is used to emulate the strain spectrum of a stochastic background using population-synthesis simulations. This leads to direct Bayesian inference on…

Astrophysics of Galaxies · Physics 2017-05-10 Stephen R. Taylor , Joseph Simon , Laura Sampson

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 European Pulsar Timing Array (EPTA) network is a collaboration between the five largest radio telescopes in Europe aiming to study the astrophysics of millisecond pulsars and to detect cosmological gravitational waves in the nano-Hertz…

Astrophysics of Galaxies · Physics 2010-02-04 K. Lazaridis

Transient gravitational waves (aka gravitational wave bursts) within the nanohertz frequency band could be generated by a variety of astrophysical phenomena such as the encounter of supermassive black holes, the kinks or cusps in cosmic…

General Relativity and Quantum Cosmology · Physics 2023-07-13 Heling Deng , Bence Bécsy , Xavier Siemens , Neil J. Cornish , Dustin R. Madison

The stochastic gravitational wave background (SGWB) detected recently by the pulsar timing arrays (PTAs) observations may have cosmological origins. In this work we consider a model of single field inflation containing an intermediate phase…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Hassan Firouzjahi , Alireza Talebian

Inspiralling supermassive black-hole binaries (SMBHBs) are expected to be the main source of the nanohertz gravitational-wave background (GWB) targeted by pulsar timing arrays (PTAs). We provide a simple and general analytic expression for…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-22 Yacine Ali-Haïmoud

The detection of a gravitational wave background in the nano-Hertz frequency range from Pulsar Timing Array (PTA) observations offers new insights into evolution of the early universe. In this work we analyze gravitational wave data from…

High Energy Physics - Phenomenology · Physics 2025-05-16 Jinzheng Li , Pran Nath

Next-generation gravitational wave (GW) experiments will explore higher frequency ranges, where GW wavelengths approach the size of the detector itself. In this regime, GWs may be detected not just through the well-known mechanical…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Lars Fischer , Tom Krokotsch , Gudrid Moortgat-Pick

We assess the detectability of a nanohertz gravitational wave (GW) background with respect to additive red and white noise in the timing of millisecond pulsars. We develop detection criteria based on the cross-correlation function summed…

Astrophysics of Galaxies · Physics 2015-05-28 J. M. Cordes , R. M. Shannon

A method is suggested to explore the gravitational wave background (GWB) in the frequency range from $10^{-12}$ to \hbox{$10^{-8}$ Hz}. That method is based on the precise measurements of pulsars' rotational parameters: the influence of the…

Instrumentation and Methods for Astrophysics · Physics 2009-10-08 M. S. Pshirkov

Mapping gravitational-wave background (GWB) anisotropy with pulsar timing arrays (PTAs) is affected by harmonic-space mode suppression and mode coupling arising from an array's nonuniform sky response. Spherical harmonic expansions must be…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Deepali Agarwal , Joseph D. Romano , Yacine Ali-Haïmoud , Tristan L. Smith

Gravitational wave background results from the superposition of gravitational waves generated from all sources across the Universe. Previous efforts on detecting such a background with pulsar timing arrays assume it is an isotropic Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Xihao Deng

Strong evidence for an isotropic, Gaussian gravitational wave background (GWB) has been found by multiple pulsar timing arrays (PTAs). The GWB is expected to be sourced by a finite population of supermassive black hole binaries (SMBHBs)…

General Relativity and Quantum Cosmology · Physics 2026-05-21 William G. Lamb , Jeremy M. Wachter , Andrea Mitridate , Shashwat C. Sardesai , Bence Bécsy , Emily L. Hagen , Stephen R. Taylor , Luke Zoltan Kelley

Ongoing research on Pulsar Timing Array (PTA) to detect gravitational radiation is reviewed. Here, we discuss the use of millisecond pulsars as a gravitational wave detector, the sources of gravitational radiation detectable by PTAs and the…

Instrumentation and Methods for Astrophysics · Physics 2020-03-23 Pravin Kumar Dahal

We show via both analytical calculation and numerical simulation that the optimal cross-correlation statistic (OS) for stochastic gravitational-wave-background (GWB) searches using data from pulsar timing arrays follows a generalized…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Jeffrey S. Hazboun , Patrick M. Meyers , Joseph D. Romano , Xavier Siemens , Anne M. Archibald

The null hypothesis in Pulsar Timing Array (PTA) analyses includes assumptions about ensemble properties of pulsar time-correlated noise. These properties are encoded in prior probabilities for the amplitude and the spectral index of the…

High Energy Astrophysical Phenomena · Physics 2025-02-06 Boris Goncharov , Shubhit Sardana

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…

High Energy Astrophysical Phenomena · Physics 2013-05-30 Latham Boyle , Ue-Li Pen

We develop a unified framework for testing gravity beyond General Relativity (GR) with continuous gravitational waves (CWs) from individual supermassive black hole binaries (SMBHBs). These long-lived, nearly monochromatic nanohertz signals…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Qinyuan Zheng , Bjorn Larsen , Ellis Eisenberg , Chiara M. F. Mingarelli