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The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Luc Blanchet

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

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

Gravitational waves have only two polarization modes in General Relativity. However, there are six possible modes of polarization in metric theory of gravity in general. The tests of gravitational waves polarization can be tools for…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Hiroki Takeda , Atsushi Nishizawa , Yuta Michimura , Koji Nagano , Kentaro Komori , Masaki Ando , Kazuhiro Hayama

We consider colliding wave packets consisting of hybrid mixtures of electromagnetic, gravitational and scalar waves. Irrespective of the scalar field, the electromagnetic wave still reflects from the gravitational wave. Some reflection…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy , Ozlem Unver

We derive consistent equations for gravitational wave oscillations in bigravity. In this framework a second dynamical tensor field is introduced in addition to General Relativity and coupled such that one massless and one massive linear…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Kevin Max , Moritz Platscher , Juri Smirnov

We explore spinning, precessing, unequal mass binary black holes to display the long term orbital angular momentum, $\vec{L}$, flip dynamics. We study two prototypical cases of binaries with mass ratios $q=1/7$ and $q=1/15$ and a misaligned…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Carlos O. Lousto , James Healy

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G A Alekseev , J B Griffiths

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

We develop a new approach to gravitational waves in which the Einstein equations are governed by the cosmological constant which is related to the existence of a manifold which is closed. We study an example in which the matter Lagrangian…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Luis Santiago Ridao , Mauricio Bellini

In the last five years, gravitational-wave astronomy has gone from a purely theoretical field into a thriving experimental science. Many gravitational-wave signals, emitted by stellar-mass binary black holes and binary neutron stars, have…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Roberto Cotesta

Localized astronomical sources like a double stellar system, rotating neutron star, or a massive black hole at the center of the Milky Way emit periodic gravitational waves. For a long time only a far-zone contribution of gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

Strong lensing by intervening galaxies can produce multiple images of gravitational waves from sources at cosmological distances. These images acquire additional phase-shifts as the over-focused wavefront passes through itself along the…

General Relativity and Quantum Cosmology · Physics 2017-02-17 Liang Dai , Tejaswi Venumadhav

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

If a set of massive objects collide in space and the fragments disperse, possibly forming black holes, then this process will emit gravitational waves. Computing the detailed gravitational wave-form associated with this process is a…

High Energy Physics - Theory · Physics 2025-06-24 Ashoke Sen

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

The stability of binary orbits can significantly shape the gravity wave signal which future Earth-based interferometers hope to detect. The inner most stable circular orbit has been of interest as it marks the transition from the late…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Janna Levin , Rachel O'Reilly , E. J. Copeland

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

We consider gravitational waves from the point of view of both their production and their propagation in doubly coupled bigravity in the metric formalism. In bigravity, the two gravitons are coupled by a non-diagonal mass matrix and show…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Philippe Brax , Anne-Christine Davis , Johannes Noller