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The maximum likelihood method is often used for parameter estimation in gravitational wave astronomy. Recently, an interesting approach was proposed by Vallisneri to evaluate the distributions of parameter estimation errors expected for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Naoki Seto , Koutarou Kyutoku

We search for the signature of an isotropic stochastic gravitational-wave background in pulsar timing observations using a frequency-domain correlation technique. These observations, which span roughly 12 yr, were obtained with the 64-m…

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

Pre-Big-Bang models in string cosmology predict a relic background of gravitational wave radiation in the early universe. The spectrum of this background shows that the energy density rises rapidly with frequency, which is an interesting…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-16 Yufeng Li , Xilong Fan , Lijun Gou

We discuss the coherent search strategy to detect gravitational waves from inspiraling compact binaries by a network of correlated laser interferometric detectors. From the maximum likelihood ratio statistic, we obtain a coherent statistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideyuki Tagoshi , Himan Mukhopadhyay , Sanjeev Dhurandhar , Norichika Sago , Hirotaka Takahashi , Nobuyuki Kanda

A plethora of gravitational wave stochastic backgrounds populate the sensitivity window of the Laser Interferometer Space Antenna. We show that LISA can detect the anisotropy of the background corresponding to the multipole moments of order…

Astrophysics · Physics 2014-10-13 C. Ungarelli , A. Vecchio

We extend the formalisms developed in Gair et al. and Cornish and van Haasteren to create maps of gravitational-wave backgrounds using a network of ground-based laser interferometers. We show that in contrast to pulsar timing arrays, which…

General Relativity and Quantum Cosmology · Physics 2015-08-20 Joseph D. Romano , Stephen R. Taylor , Neil J. Cornish , Jonathan Gair , Chiara M. F. Mingarelli , Rutger van Haasteren

The recent compelling observation of the nanohertz stochastic gravitational wave background has brought to light a new galactic arena to test gravity. In this paper, we derive a formula for the most general expression of the stochastic…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Reginald Christian Bernardo , Guo-Chin Liu , Kin-Wang Ng

In dense stellar regions, highly eccentric binaries of black holes and neutron stars can form through various n-body interactions. Such a binary could emit a significant fraction of its binding energy in a sequence of largely isolated…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Kai Sheng Tai , Sean T. McWilliams , Frans Pretorius

This chapter introduces the fundamental principles of gravitational wave detectors in a simple and comprehensive manner. Because these instruments aim for extremely high sensitivity, it is essential to understand their various noise…

Optics · Physics 2026-01-29 Marina Trad-Nery , Margherita Turconi , Walid Chaibi

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…

Astrophysics · Physics 2009-11-07 G. Modestino , A. Moleti

The gravitational wave detectors currently in operation perform the analysis of their scientific data jointly. Concerning the search for bursting sources, coherent data analysis methods have been shown to be more efficient. In the coherent…

General Relativity and Quantum Cosmology · Physics 2009-06-01 Olivier Rabaste , Eric Chassande-Mottin , Archana Pai

We present the results of simulated injections testing the first Bayesian search-pipeline capable of investigating the angular-structure of a gravitational-wave (GW) background influencing pulsar signals. A stochastic background of GWs from…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Stephen R. Taylor , Jonathan R. Gair

We present the analysis of between 50 and 100 hrs of coincident interferometric strain data used to search for and establish an upper limit on a stochastic background of gravitational radiation. These data come from the first LIGO science…

General Relativity and Quantum Cosmology · Physics 2008-11-26 LIGO Scientific Collaboration , B. Abbott

The dispersion in the speed of gravitational waves is a novel way to test the general theory of relativity and understand whether the origin of cosmic acceleration is due to any alternative theory of gravity. Several alternative theories of…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Adith Praveen , Panchajanya Dey , Suvodip Mukherjee

A space-based superconducting gravitational low-frequency wave detector is considered. Sensitivity of the detector is sufficient to use the detector as a partner of other contemporary low-frequency detectors like LIGO and LISA. This device…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. V. Verozub

A space-based superconducting gravitational low-frequency wave detector is considered. Sensitivity of the detector is sufficient to use the detector as a partner of other contemporary low-frequency detectors like LIGO and LISA. This device…

General Relativity and Quantum Cosmology · Physics 2009-04-21 Leonid Verozub

We introduce a "loosely coherent" method for detection of continuous gravitational waves that bridges the gap between semi-coherent and purely coherent methods. Explicit control over accepted families of signals is used to increase…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Vladimir Dergachev

We discuss the possible detection of a stochastic background of massive, non-relativistic scalar particles, through the cross correlation of the two LIGO interferometers in the initial, enhanced and advanced configuration. If the frequency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Gasperini , C. Ungarelli

As one of the detection targets of all gravitational wave detectors at present, stochastic gravitational wave background (SGWB) provides us an important way to understand the evolution of our universe. In this paper, we explore the…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Bo-Rui Wang , Jin Li , He Wang