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This is an overview article of the mathematics of gravitational waves. We explain the mathematics and physics of these waves in general relativity theory, discuss the gravitational wave experiment aLIGO and their detection of gravitational…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Lydia Bieri , David Garfinkle , Nicolas Yunes

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

General relativity (GR) has been extensively tested in the solar system and in binary pulsars, but never in the strong-field, dynamical regime. Soon, gravitational-wave (GW) detectors like Advanced LIGO and eLISA will be able to probe this…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ryan N. Lang

On a time scale of years to decades, gravitational wave (GW) astronomy will become a reality. Low frequency (nanoHz) GWs are detectable through long-term timing observations of the most stable pulsars. Radio observatories worldwide are…

To determine the polarization character of gravitational waves, we use strain data from the GW170814 binary black hole coalescence event detected by the three LIGO-Virgo observatories, extracting the gravitational wave strain signal…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Robert C. Hilborn

The strong beams of high-frequency gravitational waves (GW) emitted by cusps and kinks of cosmic strings are studied in detail. As a consequence of these beams, the stochastic ensemble of GW's generated by a cosmological network of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alexander Vilenkin

We use the basic equations that predict the emission of gravitational waves according to the Einstein gravitation theory to calculate the luminosities and the amplitudes of the waves generated by binary stars, pulsations of neutron stars,…

General Relativity and Quantum Cosmology · Physics 2010-03-11 M. Cattani

In the present work, we have studied the spectrum of the primordial gravitational waves due to magnetic instability in the presence of neutrino asymmetry. The magnetic instability generates a helical magnetic field on a large scale. The…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-23 Arun Kumar Pandey , Pravin Kumar Natwariya , Jitesh R Bhatt

The detection of gravitational waves opened up a new window to look into the Universe by probing phenomena invisible through electromagnetic observations. As gravitational waves interact very weakly with matter, their detection is…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Soumen Roy , Bruno Bertrand , Justin Janquart

We derive a simple relationship between the energy emitted in gravitational waves for a narrowband source and the distance to which that emission can be detected by a single detector. We consider linearly polarized, elliptically polarized,…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Patrick J. Sutton

Magnetars have already been a potential candidate as gravitational wave sources that could be detected by current and future terrestrial as well as ground based gravitational wave detectors. In this article, we focus on the gravitational…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Sourav Roy Chowdhury , Maxim Khlopov

We consider a population of small, high-velocity cosmic string loops. We assume the typical length of these loops is determined by the gravitational radiation scale and use the results of \cite{Polchinski:2007rg} which pointed out their…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Dubath , Jorge V. Rocha

Advanced LIGO and Advanced Virgo could observe the first lensed gravitational waves in the coming years, while the future Einstein Telescope could observe hundreds of lensed events. Ground-based gravitational-wave detectors can resolve…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Giulia Pagano , Otto A. Hannuksela , Tjonnie G. F. Li

When a source of gravity waves is conveniently placed between the Earth and some source of light, preferably a pulsating source, the magnitude of time delays induced by the gravity waves could, in optimal situations, be not too far out of…

Astrophysics · Physics 2010-11-01 Redouane Fakir

We provide an observation method for gravitational waves using a pulsar timing array to extend the observational frequency range up to the rotational frequency of pulsars. For this purpose, we perform an analysis of a perturbed…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Chan Park

Can we estimate the direction of arrival (DOA) of a gravitational wave (GW) signal from pulsar timing array observations? The present paper addresses the inverse problem, for which we consider quadrupole moments of pulsar timings due to GWs…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Taichi Ueyama , Hodaka Tamura , Hideki Asada

We summarize the observations of the spin periods of rapidly accreting neutron stars. If gravitational radiation is responsible for balancing the accretion torque at the observed spin frequencies of ~300 Hz, then the brightest of these…

Astrophysics · Physics 2009-10-31 Greg Ushomirsky , Lars Bildsten , Curt Cutler

Gravitational waves provide a laboratory for general relativity and a window to energetic astrophysical phenomena invisible with electromagnetic radiation. Several terrestrial detectors are currently under construction, and a space-based…

Astrophysics · Physics 2016-08-30 R. R. Caldwell , Marc Kamionkowski , Leven Wadley

This article reviews current efforts and plans for gravitational-wave detection, the gravitational-wave sources that might be detected, and the information that the detectors might extract from the observed waves. Special attention is paid…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kip S. Thorne

Two mechanisms of gravitational waves (GWs) emission in fast-spinning white dwarfs (WDs) are investigated: accretion of matter and magnetic deformation. In both cases, the GW emission is generated by an asymmetry around the rotation axis of…

Solar and Stellar Astrophysics · Physics 2020-02-06 Manoel F. Sousa , Jaziel G. Coelho , José C. N. de Araujo