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We consider a nearly free falling Earth satellite where atomic wave interferometers are tied to a telescope pointing towards a faraway star. They measure the acceleration and the rotation relatively to the local inertial frame. We calculate…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M-C. Angonin-Willaime , X. Ovido , Ph. Tourrenc

Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

In a recent paper [Ruffa] it was proposed that the massive black hole at the Galactic center may act as a gravitational lens focusing gravitational wave energy to the Earth. Considering the gravitational wave signal emitted by galactic…

Astrophysics · Physics 2009-11-07 F. De Paolis , G. Ingrosso , A. A. Nucita , A. Qadir

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

Binary systems of compact objects are strong emitters of gravitational waves whose amplitude depends on the binary orbital parameters as the component mass, the orbital semi-major axis and eccentricity. Here, in addition to the famous…

Astrophysics · Physics 2007-05-23 P. Longo , G. Congedo , A. Nucita , F. De Paolis , G. Ingrosso

Let two test particles A and B revolving about a spinning primary along ideally identical orbits in opposite directions be considered. From the general expressions of the precessions of the orbital inclination induced by the post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Lorenzo Iorio

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

We review the kinematic effects on a gravitational wave due to either a peculiar motion of the astrophysical source emitting it or a local motion of the observer. Working in the context of general relativity, we show at fully non-linear…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Giulia Cusin , Cyril Pitrou , Camille Bonvin , Aurélien Barrau , Killian Martineau

Gravitational radiation drives compact binaries through an inspiral phase towards a final coalescence. For binaries with\textit{spin, mass quadrupole and magnetic dipole moments}, various contributions add to this process, which is…

Astrophysics · Physics 2009-11-11 Balázs Mikóczi , Mátyás Vasúth , László Á. Gergely

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 gravitational lensing of gravitational waves might cause beat patterns detectable by interferometers. The feature of this kind of signal is the existence of the beat pattern in the early inspiral phase, followed by a seemingly randomly…

General Relativity and Quantum Cosmology · Physics 2020-03-10 Shaoqi Hou , Xi-Long Fan , Kai Liao , Zong-Hong Zhu

Most all-sky searches for continuous gravitational waves assume the source to be isolated. In this paper, we allow for an unknown companion object in a long-period orbit and opportunistically use previous results from an all-sky search for…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Avneet Singh , Maria Alessandra Papa

We provide a method for analytically constructing high-accuracy templates for the gravitational wave signals emitted by compact binaries moving in inspiralling eccentric orbits. By contrast to the simpler problem of modeling the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thibault Damour , Achamveedu Gopakumar , Bala R. Iyer

We study a mechanism to produce the circular polarization of primordial gravitational waves. The circular polarization is generated during the super-inflation driven by the Gauss-Bonnet term in the string-inspired cosmology. The instability…

Astrophysics · Physics 2008-11-26 Masaki Satoh , Sugumi Kanno , Jiro Soda

We consider bound geodesic orbits of test masses in the exterior gravitational field of a rotating astronomical source whose proper angular momentum varies linearly with time. The linear perturbation approach of Lense and Thirring is herein…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Chicone , B. Mashhoon

Departure from idealised plane waves gives rise to intricate geometric structures in wave fields. One such structure is the polarisation singularity, which emerges when multiple monochromatic waves interfere (such as would be the case for…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Claire Rigouzzo , Sebastian Golat , Alex J. Vernon , Kyan Louisia , Eugene Lim , Francisco J. Rodriguez-Fortuno

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

First, we obtain the plane wave solution of the linearized massive conformal gravity field equations. It is shown that the theory has seven physical plane waves. In addition, we investigate the gravitational radiation from binary systems in…

General Relativity and Quantum Cosmology · Physics 2020-08-26 F. F. Faria

The field of gravitational waves is rapidly progressing due to the noticeable advancements in the sensitivity of gravitational-wave detectors that has enabled the detection prospects of binary black hole mergers. Extreme mass ratio inspiral…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Mostafizur Rahman , Shailesh Kumar , Arpan Bhattacharyya

Gravitational wave astronomy is just beginning, after the recent success of the four direct detections of binary black hole (BBH) mergers, the first observation from a binary neutron star inspiral and with the expectation of many more…

Instrumentation and Methods for Astrophysics · Physics 2018-01-23 I. Di Palma , M. Drago
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