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An approximate analytical and non-linear solution of the Einstein field equations is derived for a system of multiple non-rotating black holes. The associated space-time has the same asymptotic structure as the Brill-Lindquist initial data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Faye , P. Jaranowski , G. Schaefer

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 investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

High Energy Physics - Theory · Physics 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

We construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, equatorial orbits about a spinning supermassive black hole. The accuracy of our model is established…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , Yi Pan , Enrico Barausse , M. Coleman Miller , William Throwe

We propose a new way of analyzing, and analytically representing, the ringdown part of the gravitational wave signal emitted by coalescing black hole binaries.By contrast with the usual {\it linear} decomposition of the multipolar complex…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thibault Damour , Alessandro Nagar

We construct a new factorized waveform including $(l,|m|)=(2,2),(2,1),(3,3),(4,4)$ modes based on effective-one-body (EOB) formalism, which is valid for spinning binary black holes (BBH) in general equatorial orbit. When combined with the…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

We derive the scalar waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to 1.5 post-Newtonian order [$O((v/c)^3)$]…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Ryan N. Lang

The two-body problem in General Relativity has been the subject of many analytical investigations. After reviewing some of the methods used to tackle this problem (and, more generally, the N-body problem), we focus on a new, recently…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Thibault Damour

A new analytical approach to the motion and radiation of (comparable mass) binary systems has been introduced in 1999 under the name of Effective One Body (EOB) formalism. We review the basic elements of this formalism, and discuss some of…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Thibault Damour

Bondi's approach to the construction of a coordinate system is used with a different choice of gauge, in accordance with which the radial coordinate r is an affine parameter, to cast the metric tensor into a form suitable for use with the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ewald Wessels

In a compact binary coalescence, the spins of the compact objects can have a significant effect on the orbital motion and gravitational-wave (GW) emission. For generic spin orientations, the orbital plane precesses, leading to…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Mohammed Khalil , Jan Steinhoff , Justin Vines , Alessandra Buonanno

Using the ${\mathcal N}=1$ supersymmetric, spinning worldline quantum field theory formalism we compute the conservative spin-orbit part of the momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$ and scattering angle $\theta$ from…

High Energy Physics - Theory · Physics 2023-10-23 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer , Yingxuan Xu

We present SEOBNRv5HM, a more accurate and faster inspiral-merger-ringdown gravitational waveform model for quasi-circular, spinning, nonprecessing binary black holes within the effective-one-body (EOB) formalism. Compared to its…

Binary black-hole coalescence is treated semi-analytically by a novel approach. Our prescription employs the conservative Skeleton Hamiltonian that describes orbiting Brill-Lindquist wormholes (termed punctures in Numerical Relativity)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Achamveedu Gopakumar , Gerhard Schaefer

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

The canonical Arnowitt-Deser-Misner (ADM) Hamiltonian with next-to-leading order spin-spin coupling [J. Steinhoff, S. Hergt, and G. Sch\"afer] is converted into the EOB formalism of T. Damour, P. Jaranowski, and G. Sch\"afer for the special…

General Relativity and Quantum Cosmology · Physics 2015-02-06 Simone Balmelli , Philippe Jetzer

We present a comprehensive analysis of late-time tails in gravitational radiation from merging spin-aligned eccentric binary black holes, using high-accuracy point-particle black hole perturbation theory simulations. We simulate the…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Tousif Islam , Guglielmo Faggioli , Gaurav Khanna

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang

We discuss the properties of the effective-one-body (EOB) multipolar gravitational waveform emitted by nonspinning black-hole binaries of masses $\mu$ and $M$ in the extreme-mass-ratio limit, $\mu/M=\nu\ll 1$. We focus on the transition…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu
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