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Gravitational waves are propagating undulations in the spacetime fabric, which interact very weakly with their environment. In cosmology, gravitational-wave distortions are produced by most of the inflationary scenarios and their…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Despoina Pazouli , Christos G. Tsagas

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Alexandre Le Tiec , Jérôme Novak

Gravitational waves are perturbations in the spacetime that propagate at the speed of light. The study of such phenomenon is interesting because many cosmological processes and astrophysical objects, such as binary systems, are potential…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-27 E. F. D. Evangelista , J. C. N. de Araujo

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

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

Binary Systems are the most studied sources of gravitational waves. The mechanisms of emission and the behavior of the orbital parameters are well known and can be written in analytic form in several cases. Besides, the strongest indication…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-24 E. F. D. Evangelista , J. C. N. de Araujo

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

In a recent paper we have deduced the basic equations that predict the emission of gravitational waves (GW) according to the Einstein gravitation theory. In a subsequent paper these equations have been used to calculate the luminosities and…

General Relativity and Quantum Cosmology · Physics 2010-04-15 M. Cattani

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

The dynamics of a gravitational wave propagating through a cosmic gauge field are dramatically different than in vacuum. We show that a gravitational wave acquires an effective mass, is birefringent, and its normal modes are a linear…

General Relativity and Quantum Cosmology · Physics 2017-11-22 R. R. Caldwell , C. Devulder , N. A. Maksimova

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

In the quadrupole approximation of General Relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the…

General Relativity and Quantum Cosmology · Physics 2019-09-11 A. Miguel Holgado , Paul M. Ricker

We present a new analytical framework for describing the dynamics of a gravitational binary system with unequal masses moving with arbitrary relative velocity, taking into account the backreaction from both compact objects in the form of…

General Relativity and Quantum Cosmology · Physics 2009-06-05 Chad R. Galley , Bei-Lok Hu

Einstein's special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as ``spacetime''. His general theory of relativity further taught us that spacetime is not just a stage on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eanna E. Flanagan , Scott A. Hughes

We propose a step-by-step manual for the construction of alternative theories of gravity, perturbatively as well as nonperturbatively. The construction is guided by no more than two fundamental principles that we impose on the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Nils Alex , Tobias Reinhart

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

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Manuel Tessmer

In this thesis we consider the data analysis problem of detecting gravitational waves emitted by inspiraling binary systems. Detection of gravitational waves will open a new window on the Universe enabling direct detection of systems such…

General Relativity and Quantum Cosmology · Physics 2010-02-10 Gareth Jones

We compute the gravitational waveform from a binary system in scalar-tensor gravity at 2PN relative order. We restrict our calculation to non-spinning binary systems on quasi-circular orbits and compute the spin-weighted spherical modes of…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Noah Sennett , Sylvain Marsat , Alessandra Buonanno
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