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This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Nicolas Yunes , Xavier Siemens

Although the gravitational waves observed by advanced LIGO and Virgo are consistent with compact binaries in a quasi-circular inspiral prior to coalescence, eccentric inspirals are also expected to occur in Nature. Due to their complexity,…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Blake Moore , Travis Robson , Nicholas Loutrel , Nicolas Yunes

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

Two polarization modes of gravitational wave are derived from the general relativity which are plus and cross modes. However, the alternative theories of gravity can yield the gravitational wave with up to six polarizations. Searching for…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Gang Wang , Wen-Biao Han

Gravitational waves from compact binary coalescences provide a unique laboratory to test properties of compact objects. As alternatives to the ordinary black holes in general relativity, various exotic compact objects have been proposed.…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Tatsuya Narikawa , Nami Uchikata , Takahiro Tanaka

Inspiraling compact binaries are expected to be the strongest sources of gravitational waves for VIRGO, LIGO and other laser interferometers. We present the first computations of quasi-equilibrium sequences of compact binaries containing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francois Limousin , Dorota Gondek-Rosinska , Eric Gourgoulhon

In this paper we discuss a new strategy for the detection of gravitational radiation likely emitted by cosmological gamma ray burst. Robust and conservative estimates lead to the conclusion that the uncorrelated superimposition of bursts of…

Astrophysics · Physics 2009-11-07 Giulio Auriemma

Modeling the stochastic gravitational wave background from various astrophysical sources is a key objective in view of upcoming observations with ground- and space-based gravitational wave observatories such as Advanced LIGO, VIRGO, eLISA…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Irina Dvorkin , Jean-Philippe Uzan , Elisabeth Vangioni , Joseph Silk

We describe a method by which gravitational wave observations of eccentric binary systems could be used to test General Relativity's prediction that gravitational waves are dispersionless. We present our results in terms of the graviton…

General Relativity and Quantum Cosmology · Physics 2011-05-23 D I Jones

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Vegard Undheim

Coalescing compact binaries of neutron stars and/or black holes are considered as one of the most promising sources for Earth based gravitational wave detectors. The LIGO-Virgo joint collaboration's Compact Binary Coalescence (CBC) group is…

General Relativity and Quantum Cosmology · Physics 2019-08-13 Anand S. Sengupta

This paper derives the expressions of the multipole moments of an isolated gravitating source with an accuracy corresponding to the second post-Newtonian (2-PN) approximation of general relativity. The moments are obtained by a procedure of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Luc Blanchet

Over the next decade, third-generation interferometers and the space-based LISA mission will observe binaries in galactic centers involving supermassive black holes with millions of solar masses. More precise measurements of more extreme…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Francisco Duque

Gravitational waves from inspiralling binaries are expected to be detected using a data analysis technique known as {\it matched filtering.} This technique is applicable whenever the form of the signal is known accurately. Though we know…

General Relativity and Quantum Cosmology · Physics 2010-01-06 B. S. Sathyaprakash

The paper deals with the estimation of parameters of gravitational waves from coalescing binaries. It explains the discrepancy between the Monte carlo simulations and the covariance matrix. We include the post-Newtonian as well as the…

General Relativity and Quantum Cosmology · Physics 2019-08-17 R. Balasubramanian , S. V. Dhurandhar

Gravitational wave observations have significantly broadened our capacity to explore fundamental physics beyond the Standard Model, providing crucial insights into dark matter that are inaccessible through conventional methods. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-21 Jeong Han Kim , Xing-Yu Yang

We present the first computation of the nonlinear gravitational memory waveform for the scattering of two compact objects in General Relativity at leading order in the post-Minkowskian expansion. We use the scattering-amplitudes-based…

High Energy Physics - Theory · Physics 2025-06-27 Alessandro Georgoudis , Vasco Goncalves , Carlo Heissenberg , Julio Parra-Martinez

The most promising source of gravitational waves for the planned detectors LIGO and VIRGO are merging compact binaries, i.e., neutron star/neutron star (NS/NS), neutron star/black hole (NS/BH), and black hole/black-hole (BH/BH) binaries. We…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Curt Cutler , Eanna Flanagan

As several large scale interferometers are beginning to take data at sensitivities where astrophysical sources are predicted, the direct detection of gravitational waves may well be imminent. This would open the gravitational-wave window to…

Astrophysics · Physics 2015-05-13 Kostas D. Kokkotas

The direct detection of gravitational waves now provides a new channel of testing gravity theories. Despite that the parametrized post-Einsteinian framework is a powerful tool to quantitatively investigate effects of modification of gravity…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Kei Yamada , Tatsuya Narikawa , Takahiro Tanaka
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