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Combining new gravitational waveforms derived by long-term (14--16 orbits) numerical-relativity simulations with waveforms by an effective-one-body (EOB) formalism for coalescing binary neutron stars, we construct hybrid waveforms and…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Kenta Hotokezaka , Koutarou Kyutoku , Yu-ichiro Sekiguchi , Masaru Shibata

Using a semi-analytical approach recently developed to model the tidal deformations of neutron stars in inspiralling compact binaries, we study the dynamical evolution of the tidal tensor, which we explicitly derive at second post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2013-05-30 A. Maselli , L. Gualtieri , F. Pannarale , V. Ferrari

Recently, the gravitational scattering of two black holes (BHs) treated at the leading order in the weak-field, or post-Minkowskian (PM), approximation to General Relativity has been shown to map bijectively onto a simpler effectively…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Justin Vines , Jan Steinhoff , Alessandra Buonanno

We improve the effective-one-body (EOB) description of nonspinning coalescing black hole binaries by incorporating several recent analytical advances, notably: (i) logarithmic contributions to the conservative dynamics; (ii) resummed…

General Relativity and Quantum Cosmology · Physics 2013-04-17 Thibault Damour , Alessandro Nagar , Sebastiano Bernuzzi

We perform simulations of relativistic binary stars in post-Newtonian gravity to investigate their dynamical stability prior to merger against gravitational collapse in a tidal field. In general, our equations are only strictly accurate to…

General Relativity and Quantum Cosmology · Physics 2009-12-30 M. Shibata , T. W. Baumgarte , S. L. Shapiro

We compute spin-orbit effects in the equations of motion, binding energy and energy loss of binary systems of compact objects at the next-to-leading order in the post-Newtonian (PN) approximation in the effective field theory (EFT)…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Brian A. Pardo , Natália T. Maia

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Anand Balivada , Abhishek Hegade K. R. , Nicolás Yunes

We present a comprehensive comparison of the spin-aligned effective-one-body (EOB) waveform model of Nagar et al. [Phys. Rev. D93, 044046 (2016)], informed using 40 numerical-relativity (NR) datasets, against a set of 149, $\ell=m=2$, NR…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Alessandro Nagar , Gunnar Riemenschneider , Geraint Pratten

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

In the adiabatic post-Newtonian (PN) approximation, the phase evolution of gravitational waves (GWs) from inspiralling compact binaries in quasicircular orbits is computed by equating the change in binding energy with the GW flux. This…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Shasvath J. Kapadia , Nathan K. Johnson-McDaniel , Parameswaran Ajith

In this paper we address the two-body problem in massless Scalar-Tensor (ST) theories within an Effective-One-Body (EOB) framework. We focus on the first building block of the EOB approach, that is, mapping the conservative part of the…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Félix-Louis Julié , Nathalie Deruelle

We present a new effective-one-body (EOB) model for eccentric binary coalescences. The model stems from the state-of-the-art model TEOBResumS$\_$SM for circularized coalescing black-hole binaries, that is modified to explicitly incorporate…

General Relativity and Quantum Cosmology · Physics 2020-10-29 Danilo Chiaramello , Alessandro Nagar

We analyze the secular evolution of hierarchical triple systems to second-order in the quadrupolar perturbation induced on the inner binary by the distant third body. The Newtonian three-body equations of motion, expanded in powers of the…

Earth and Planetary Astrophysics · Physics 2021-03-10 Clifford M. Will

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi

We calculate the motion of binary mass systems in gravity up to the fourth post--Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying…

General Relativity and Quantum Cosmology · Physics 2020-05-20 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We first use five non-spinning and two mildly spinning (chi_i \simeq -0.44, +0.44) numerical-relativity waveforms of black-hole binaries and calibrate an effective-one-body (EOB) model for non-precessing spinning binaries, notably its…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Andrea Taracchini , Yi Pan , Alessandra Buonanno , Enrico Barausse , Michael Boyle , Tony Chu , Geoffrey Lovelace , Harald P. Pfeiffer , Mark A. Scheel

We address the problem of constructing high-accuracy, faithful analytic waveforms describing the gravitational wave signal emitted by inspiralling and coalescing binary black holes. We work within the Effective-One-Body (EOB) framework and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

We continue the program of constructing, within the Effective-One-Body (EOB) approach, high-accuracy analytic waveforms describing the signal emitted by inspiralling and coalescing black hole binaries. Here, we compare a recently derived,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar , Ernst Nils Dorband , Denis Pollney , Luciano Rezzolla

We present the first models of extreme-mass-ratio inspirals within the effective-one-body (EOB) formalism, focusing on quasi-circular orbits into non-rotating black holes. We show that the phase difference and (Newtonian normalized)…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , M. Coleman Miller , Yi Pan