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The optimal statistic (OS) is a frequentist estimator for the amplitude and significance of a spatially-correlated signal in pulsar timing array (PTA) data, and it is widely used to search for the gravitational wave background (GWB).…

天体物理仪器与方法 · 物理学 2024-01-18 Shashwat C. Sardesai , Sarah J. Vigeland , Kyle A. Gersbach , Stephen R. Taylor

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…

宇宙学与河外天体物理 · 物理学 2026-04-29 Wang-Wei Yu , Bruce Allen

Observations have revealed that nearly all galaxies contain supermassive black holes (SMBHs) at their centers. When galaxies merge, these SMBHs form SMBH binaries (SMBHBs) that emit low-frequency gravitational waves (GWs). The incoherent…

天体物理仪器与方法 · 物理学 2018-08-14 Sarah J. Vigeland , Kristina Islo , Stephen R. Taylor , Justin A. Ellis

Stochastic gravitational waves (SGW) can be detected by measuring a cross-correlation of two or more gravitational wave (GW) detectors. In this paper we describe an optimal SGW search technique in the wavelet domain. It uses a sign…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Klimenko , G. Mitselmakher , A. Sazonov

A gravitational-wave background can be detected in pulsar-timing-array data as Hellings--Downs correlations among the timing residuals measured for different pulsars. The optimal statistic implements this concept as a classical…

高能天体物理现象 · 物理学 2024-02-14 Michele Vallisneri , Patrick M. Meyers , Katerina Chatziioannou , Alvin J. K. Chua

Pulsar timing arrays (PTAs) have made tremendous progress and are now showing strong evidence for the gravitational-wave background (GWB). Further probing the origin and characteristics of the GWB will require more generalized analysis…

天体物理仪器与方法 · 物理学 2025-02-06 Kyle A. Gersbach , Stephen R. Taylor , Patrick M. Meyers , Joseph D. Romano

Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively…

天体物理学 · 物理学 2009-11-07 G. Modestino , A. Moleti

Supermassive black hole binaries, cosmic strings, relic gravitational waves from inflation, and first order phase transitions in the early universe are expected to contribute to a stochastic background of gravitational waves in the 10^(-9)…

We discuss a robust data analysis method to detect a stochastic background of gravitational waves in the presence of non-Gaussian noise. In contrast to the standard cross-correlation (SCC) statistic frequently used in the stochastic…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yoshiaki Himemoto , Atsushi Taruya , Hideaki Kudoh , Takashi Hiramatsu

We present two methods for determining the significance of a stochastic gravitational-wave (GW) background affecting a pulsar-timing array, where detection is based on evidence for quadrupolar spatial correlations between pulsars. Rather…

天体物理仪器与方法 · 物理学 2017-02-13 S. R. Taylor , L. Lentati , S. Babak , P. Brem , J. R. Gair , A. Sesana , A. Vecchio

Pulsar timing arrays (PTAs) seek to detect a nano-Hz stochastic gravitational-wave background (GWB) by searching for the characteristic Hellings and Downs angular pattern of timing residual correlations. So far, the evidence remains below…

天体物理仪器与方法 · 物理学 2025-09-09 Rutger van Haasteren , Bruce Allen , Joseph D. Romano

Under standard assumptions including stationary and serially uncorrelated Gaussian gravitational wave stochastic background signal and noise distributions, as well as homogenous detector sensitivities, the standard cross-correlation…

宇宙学与河外天体物理 · 物理学 2015-09-17 Martellini Lionel , Regimbau Tania

Long-term precise timing of Galactic millisecond pulsars holds great promise for measuring the long-period (months-to-years) astrophysical gravitational waves. Several gravitational-wave observational programs, called Pulsar Timing Arrays…

天体物理学 · 物理学 2009-11-13 Rutger van Haasteren , Yuri Levin , Patrick McDonald , Tingting Lu

The stochastic gravitational wave background (SGWB) consists of an incoherent collection of waves from both astrophysical and cosmological sources. To distinguish the SGWB from noise, it is essential to verify its quadrupolar nature,…

广义相对论与量子宇宙学 · 物理学 2025-08-22 Yifan Chen , Yuxiang Liu , Jing Shu , Bin Xu , Xiao Xue , Yanjie Zeng

The astrophysical stochastic gravitational wave background (SGWB) originates from numerous faint sub-threshold gravitational wave (GW) signals arising from the coalescing binary compact objects. This background is expected to be discovered…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Ramit Dey , Luís Felipe Longo Micchi , Suvodip Mukherjee , Niayesh Afshordi

The announcement in the summer of 2023 about the discovery of evidence for a gravitational wave background (GWB) using pulsar timing arrays (PTAs) has ignited both the PTA and the larger scientific community's interest in the experiment and…

天体物理仪器与方法 · 物理学 2025-04-22 Nima Laal , Stephen R. Taylor , Rutger van Haasteren , William G Lamb , Xavier Siemens

In this paper we study the use of cross-correlations between multiple gravitational wave (GW) data streams for detecting long-lived periodic signals. Cross-correlation searches between data from multiple detectors have traditionally been…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sanjeev Dhurandhar , Badri Krishnan , Himan Mukhopadhyay , John T. Whelan

In this work we derive two computationally efficient frequentist detection statistics that can be used in searches for gravitational-wave bursts with memory in pulsar timing data. By maximizing the likelihood ratio in two different ways we…

广义相对论与量子宇宙学 · 物理学 2024-10-29 Jerry P. Sun , Xavier Siemens , Dustin R. Madison

The millisecond pulsars, old-recycled objects spinning with high frequency $\mathcal{O}$ (kHz) sustaining the deformation from their spherical shape, may emit gravitational waves (GW). These are one of the potential candidates contributing…

广义相对论与量子宇宙学 · 物理学 2023-07-18 Deepali Agarwal , Jishnu Suresh , Vuk Mandic , Andrew Matas , Tania Regimbau
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