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The existence of a stochastic gravitational wave background is indicated by the recent pulsar timing array (PTA) experiments. We study the enhanced production of second-order gravitational waves from the scalar perturbations when the…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-26 Masahiro Kawasaki , Kai Murai

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) can be used to detect and study gravitational waves in the nanohertz band (i.e., wavelengths of order light-years). This requires high-precision, decades-long data sets from sensitive, instrumentally stable…

Instrumentation and Methods for Astrophysics · Physics 2018-10-17 NANOGrav Collaboration

We consider the sensitivity of the pulsar timing array (PTA) technique to specific kind of narrow-band stochastic signals in nano-Hz frequency range. Specifically, we examine the narrow-band signal produced by oscillating gravitational…

Instrumentation and Methods for Astrophysics · Physics 2014-11-04 Konstantin A. Postnov , Nataliya K. Porayko

The observations from pulsar timing arrays (PTAs), led by the North American Nanohertz Observatory for Gravitational Waves (NANOGrav), have provided opportunities to constrain primordial gravitational waves at low frequencies. In this…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-07 Lu Yin

Simple analytic expressions are derived for the sensitivity curve of a pulsar timing array (PTA) to both a monochromatic source of gravitational waves and an isotropic stochastic background of gravitational waves. These derivations are…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Christopher J. Moore

Several pulsar timing array (PTA) experiments such as NANOGrav and PPTA recently reported evidence of a gravitational wave (GW) background at nano-Hz frequency band. This signal can originate from scalar-induced gravitational waves (SIGW)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Junsong Cang , Yu Gao , Yiming Liu , Sichun Sun

The goal of the MeerKAT radio telescope's pulsar timing array programme (MPTA) is the detection of gravitational waves (GWs) of nanohertz frequencies. Evidence for such a signal was recently announced by the MPTA and several other pulsar…

The International Pulsar Timing Array project combines observations of pulsars from both Northern and Southern hemisphere observatories with the main aim of detecting ultra-low frequency (~10^-9 to 10^-8 Hz) gravitational waves. Here we…

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

We present results from an all-sky search for continuous gravitational waves from individual supermassive binary black holes using the third data release (DR3) of the Parkes Pulsar Timing Array (PPTA). Even though we recover a…

We present observations and timing analyses of 68 millisecond pulsars (MSPs) comprising the 15-year data set of the North American Nanohertz Observatory for Gravitational Waves (NANOGrav). NANOGrav is a pulsar timing array (PTA) experiment…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Gabriella Agazie , Md Faisal Alam , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Laura Blecha , Victoria Bonidie , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Bence Bécsy , Christopher Chapman , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan E. DeCesar , Paul B. Demorest , Timothy Dolch , Brendan Drachler , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Joseph Glaser , Deborah C. Good , Kayhan Gültekin , Jeffrey S. Hazboun , Ross J. Jennings , Cody Jessup , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Anastasia Kuske , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Ye Lin , Tingting Liu , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Kaleb Maraccini , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Cherry Ng , David J. Nice , Stella Koch Ocker , Ken D. Olum , Elisa Panciu , Timothy T. Pennucci , Benetge B. P. Perera , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Laura Salo , Shashwat C. Sardesai , Carl Schmiedekamp , Ann Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph K. Swiggum , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Sarah J. Vigeland , Haley M. Wahl , Qiaohong Wang , Caitlin A. Witt , Olivia Young

Recently, several regional pulsar timing array collaborations, including CPTA, EPTA, PPTA, and NANOGrav, have individually reported compelling evidence for a stochastic signal at nanohertz frequencies. This signal originates potentially…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Zu-Cheng Chen , Jun Li , Lang Liu , Zhu Yi

Pulsar Timing Arrays search for nanohertz-frequency gravitational waves by regularly observing ensembles of millisecond pulsars over many years to look for correlated timing residuals. Recently the first evidence for a stochastic…

Pulsar timing array projects are carrying out high precision observations of millisecond pulsars with the aim of detecting ultra-low frequency (~ 10^{-9} to 10^{-8} Hz) gravitational waves. We show how unambiguous detections of such waves…

Solar and Stellar Astrophysics · Physics 2015-05-19 George Hobbs

In the non-standard model of relic gravitational waves (RGWs) generated in the early universe, the theoretical spectrum of is mainly described by an amplitude $r$ and a spectral index $\beta$, the latter usually being determined by the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Ming-Lei Tong , Yang Zhang , Wen Zhao , Jin-Zhong Liu , Cheng-Shi Zhao , Ting-Gao Yang

Pulsar timing arrays (PTAs) are limited in localizing nanohertz continuous gravitational waves (CGWs) by uncertainties in pulsar distances. We introduce a method to infer pulsar distances in two dimensions, using phase information from the…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Si-Ren Xiao , Ji-Yu Song , Yue Shao , Ling-Feng Wang , Jing-Fei Zhang , Xin Zhang

The sensitivity of pulsar timing arrays to gravitational waves is, at some level, limited by timing noise. Red timing noise - the stochastic wandering of pulse arrival times with a red spectrum - is prevalent in slow-spinning pulsars and…

High Energy Astrophysical Phenomena · Physics 2015-06-24 Paul D. Lasky , Andrew Melatos , Vikram Ravi , George Hobbs

Pulsar Timing Arrays (PTAs) are approaching the sensitivity required for a $5\sigma$ detection of the nanohertz stochastic gravitational-wave background (GWB). This makes it crucial to deeply understand the behaviour of our analysis…

High Energy Astrophysical Phenomena · Physics 2026-05-27 Irene Ferranti , Mikel Falxa , Federico Fantoccoli , Alberto Sesana , Golam Mohiuddin Shaifullah

Pulsar Timing Arrays (PTAs) are rapidly advancing toward the detection of continuous gravitational waves from individual supermassive binary black holes. While it is well established that coherently utilizing the ``pulsar term" requires…

Astrophysics of Galaxies · Physics 2026-04-30 Chao-Fan Wen , Yi-Qin Chen , Shi-Yi Zhao , Hao Ding , Xingjiang Zhu