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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

The black hole merging rates inferred after the gravitational-wave detection by Advanced LIGO/VIRGO and the relatively high mass of the progenitors are consistent with models of dark matter made of massive primordial black holes (PBH). PBH…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-30 Sebastien Clesse , Juan García-Bellido

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Wang-Wei Yu , Bruce Allen

We study the formation of primordial black holes (PBHs) from the collapse of density perturbations induced by primordial gravitational waves (PGWs). The PGWs' interpretation of the stochastic gravitational wave background (SGWB) detected by…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Utkarsh Kumar

In this paper we attempt to investigate the nature of the first gravitational wave (GW) signal to be detected by pulsar timing arrays (PTAs): will it be an individual, resolved supermassive black hole binary (SBHB), or a stochastic…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Pablo A. Rosado , Alberto Sesana , Jonathan Gair

Several Pulsar Timing Array (PTA) collaborations have recently found evidence for a gravitational wave background (GWB) permeating our galaxy. The origin of this background is still unknown. Indeed, while the gravitational wave emission…

High Energy Astrophysical Phenomena · Physics 2024-07-12 Anna-Malin Lemke , Andrea Mitridate , Kyle A. Gersbach

We investigate the effects of gravitational waves (GWs) from a simulated population of binary super-massive black holes (SMBHs) on pulsar timing array datasets. We construct a distribution describing the binary SMBH population from an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 V. Ravi , J. S. B. Wyithe , G. Hobbs , R. M. Shannon , R. N. Manchester , D. R. B. Yardley , M. J. Keith

Millisecond pulsars are intrinsically very stable clocks and precise measurement of their observed pulse periods can be used to study a wide variety of astrophysical phenomena. In particular, observations of a large sample of millisecond…

High Energy Astrophysical Phenomena · Physics 2015-05-27 R. N. Manchester

Dark matter substructure, such as primordial black holes (PBHs) and axion miniclusters, can induce phase shifts in pulsar timing arrays (PTAs) measurements due to gravitational effects. In order to gain a more realistic forecast for the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-05 Vincent S. H. Lee , Stephen R. Taylor , Tanner Trickle , Kathryn M. Zurek

We present a detailed analysis of the expected signal-to-noise ratios of supermassive black hole binaries on eccentric orbits observed by pulsar timing arrays. We derive several analytical relations that extend the results of Peters and…

General Relativity and Quantum Cosmology · Physics 2015-09-11 E. A. Huerta , Sean T. McWilliams , Jonathan R. Gair , 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

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

Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

Pulsar timing arrays (PTAs) can be used to search for very low frequency ($10^{-9}$--$10^{-7}$ Hz) gravitational waves (GWs). In this paper we present a general method for the detection and localization of single-source GWs using PTAs. We…

Instrumentation and Methods for Astrophysics · Physics 2015-03-27 Xing-Jiang Zhu , Linqing Wen , George Hobbs , Yilin Zhang , Yan Wang , Dustin R. Madison , Richard N. Manchester , Matthew Kerr , Pablo A. Rosado , Jingbo Wang

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) are on the verge of detecting low-frequency gravitational waves (GWs) from supermassive black hole binaries (SMBHBs). With continued observations of a large sample of millisecond pulsars, PTAs will reach this…

In this letter we carry out the first systematic investigation of the expected gravitational wave (GW) background generated by supermassive black hole (SMBH) binaries in the nHz frequency band accessible to pulsar timing arrays (PTAs). We…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 A. Sesana

Black-holes are known to span at least 9 orders of magnitude in mass: from the stellar-mass objects observed by the Laser Interferometer Gravitational-Wave Observatory Scientific Collaboration and Virgo Collaboration, to supermassive…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Andrew R. Kaiser , Sean T. McWilliams

We present the sensitivity of the Parkes Pulsar Timing Array to gravitational waves emitted by individual super-massive black-hole binary systems in the early phases of coalescing at the cores of merged galaxies. Our analysis includes a…

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