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We study a binary system composed of point particles of unequal masses in eccentric orbits in the linear regime of the characteristic formulation of general relativity, generalising a previous study found in the literature in which a system…

General Relativity and Quantum Cosmology · Physics 2016-04-07 C. E. Cedeño M. , J. C. N. de Araujo

We describe gravitational lensing by a gravitational wave, in the regime in which multiple images of a light source are created. We adapt the vector formalism employed for ordinary gravitational lenses to the case of a non-stationary…

Astrophysics · Physics 2016-01-27 Valerio Faraoni

In this new era of gravitational wave astrophysics, observations have indicated the likely existence of black holes with significant spin. In order to better understand the potential imprint orbital dynamics have on the multi-messenger…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Martin D. Strong , Michael Crescimanno

We study gravitational waves from a particle moving around a system of a point mass with a disk in Newtonian gravitational theory. A particle motion in this system can be chaotic when the gravitational contribution from a surface density of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kenta Kiuchi , Hiroko Koyama , Kei-ichi Maeda

The inspiral of compact binaries, driven by gravitational-radiation reaction, is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole radiation. We outline the derivation of the 3.5PN-accurate binary's center-of-mass…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Benoit Joguet

Testing of the gravitation equations, proposed by one of the authors earlier, by a binary pulsar is considered. It has been shown that the formulas for the gravitation radiation of the system resulting from the equations do not contradict…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Verozub , A. Kochetov

We investigate the three-dimensional motion of a test particle in the gravitational field generated by a non-spherical compact object endowed with a mass quadrupole moment, described by the Erez-Rosen metric, and a radiation field,…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Vittorio De Falco , Pavel Bakala , Maurizio Falanga

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Gopakumar , Bala R. Iyer

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 quantify for the first time the gravitational wave (GW) phase shift appearing in the waveform of eccentric binary black hole (BBH) mergers formed dynamically in three-body systems. For this, we have developed a novel numerical method…

High Energy Astrophysical Phenomena · Physics 2024-03-12 Johan Samsing , Kai Hendriks , Lorenz Zwick , Daniel J. D'Orazio , Bin Liu

The direct detection of gravitational waves crowns decades of efforts in the modelling of sources and of increasing detectors' sensitivity. With future third-generation Earth-based detectors or space-based observatories, gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Lorenzo Annulli , Laura Bernard , Diego Blas , Vitor Cardoso

The Laser Interferometer Gravitational Wave Observatory (LIGO) has recently discovered gravitational waves (GWs) emitted by merging black hole binaries. We examine whether future GW detections may identify triple companions of merging…

High Energy Astrophysical Phenomena · Physics 2017-01-18 Yohai Meiron , Bence Kocsis , Abraham Loeb

Theoretical studies in gravitational wave astronomy have mostly focused on the information that can be extracted from individual detections, such as the mass of a binary system and its location in space. Here we consider how the information…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Matthew Adams , Neil Cornish , Tyson Littenberg

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

We study the gravitational wave (GW) phase shift arising from center-of-mass accelerations of binary black hole mergers formed dynamically in three-body systems, where both the inner orbit of the merging binary and the outer orbit are…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Kai Hendriks , Lorenz Zwick , Johan Samsing

I review the expected Galactic sources of gravitational waves, concentrating on the low-frequency domain and summarise the current observational and theoretical knowledge we have. A model for the Galactic population of close binaries, which…

Astrophysics · Physics 2009-11-10 G. Nelemans

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

The first calculation of the frequency spectrum of gravitational wave mass quadrupole radiation for binaries on hyperbolic orbits was performed in arXiv:1207.5359. Some shortcomings of their derivation were pointed out, but there are still…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Matthias Gröbner , Philippe Jetzer , Maria Haney , Shubhanshu Tiwari , Wako Ishibashi

We study the effect of the radiation parameter in the location, stability and orbital dynamics in the Lagrange configuration of the restricted four-body problem when one of the primaries is a radiating body. The equations of motion for the…

Chaotic Dynamics · Physics 2020-06-22 J. E. Osorio-Vargas , F. L. Dubeibe , Guillermo A. González

The "reaction" of an extended body to the passage of an exact plane gravitational wave is discussed following Dixon's model. The analysis performed shows several general features, e.g. even if initially absent, the body acquires a spin…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan