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We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Alexandria Tucker , Clifford M. Will

We compute to high post-Newtonian accuracy the 4-momentum (linear momentum, and energy), radiated as gravitational waves in a two-body system undergoing gravitational scattering. We include, for the first time, all the relevant {\it…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Donato Bini , Thibault Damour , Andrea Geralico

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As result of the precession of spins the magnitude $L$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 László Á. Gergely , Zoltán Keresztes

Modeling of gravitational waves (GWs) from binary black hole inspiral brings together early post-Newtonian waveforms and late quasinormal ringing waveforms. Attempts to bridge the two limits without recourse to numerical relativity involve…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Richard H Price , Gaurav Khanna

In this paper, we focus on the effect of mass-transfer between compact binaries like neutron-star-neutron-star (NS-NS) systems and neutron-star-white-dwarf (NS-WD) systems on gravitational waves (GWs). We adopt the mass quadrupole formula…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Zi-han Zhang , Bin Liu , Sheng-hua Yu , Jie Yang

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density $f(R) = R + aR^2$. As a formal result we obtain leading order corrections to the quadrupole formula in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Joachim Näf , Philippe Jetzer

Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of spacetime. As the waves carry off orbital energy, the two bodies spiral into each…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dillon Buskirk , Maria C. Babiuc Hamilton

We ascertain the effectiveness of the second post-Newtonian approximation to the gravitational waves emitted during the adiabatic inspiral of a compact binary system as templates for signal searches with kilometer-scale interferometric…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Serge Droz , Eric Poisson

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

Within the framework of self-force theory, we compute the gravitational-wave energy flux through second order in the mass ratio for compact binaries in quasicircular orbits. Our results are consistent with post-Newtonian calculations in the…

General Relativity and Quantum Cosmology · Physics 2021-10-12 Niels Warburton , Adam Pound , Barry Wardell , Jeremy Miller , Leanne Durkan

Gravitational waves emitted by coalescing binary systems containing neutron stars (or other compact objects) carry signatures of the stars' internal equation of state, notably, through the influence of tidal deformations during the binary's…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Batoul Banihashemi , Justin Vines

Radiative multipole moments of scalar, electromagnetic, and linearized gravitational fields in Schwarzschild spacetime are computed to third order in v in a weak-field, slow-motion approximation, where v is a characteristic velocity…

General Relativity and Quantum Cosmology · Physics 2011-04-21 Stephen W. Leonard , Eric Poisson

The existence of large--scale magnetic fields in the universe has led to the observation that if gravitational waves propagating in a cosmological environment encounter even a small magnetic field then electromagnetic radiation is produced.…

General Relativity and Quantum Cosmology · Physics 2010-04-29 C. Barrabes , P. A. Hogan

We present here a complete list of contributions to the gravitational wave frequency evolution from compact binaries on circular orbits up to the second post-Newtonian order by including the interaction of magnetic dipole moments,…

Astrophysics · Physics 2016-08-15 Balázs Mikóczi

Up to the third post-Newtonian (3PN) order, we compute (i) the current-type quadrupole moment of (non-spinning) compact binary systems, as well as (ii) the corresponding gravitational-wave mode $(2,1)$ (constituting a 3.5PN correction in…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Quentin Henry , Guillaume Faye , Luc Blanchet

General relativity (GR) has been extensively tested in the solar system and in binary pulsars, but never in the strong-field, dynamical regime. Soon, gravitational-wave (GW) detectors like Advanced LIGO and eLISA will be able to probe this…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ryan N. Lang

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

We investigate gravitational waveforms from the inspiral phase of compact binary systems within the framework of quadratic gravity and map their deviations from general relativity into the parameterized post-Einstein (PPE) formalism to…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Matheus F. S. Alves , L. G. Medeiros , Davi C. Rodrigues

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer

We derive the equations of motion for binary systems of compact bodies in the post-Newtonian (PN) approximation to general relativity. Results are given through 2PN order (order (v/c)^4 beyond Newtonian theory), and for gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael E. Pati , Clifford M. Will
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