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Related papers: Effective one-body theory of spinless binary evolu…

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We calculate the linear momentum flux from merging black holes (BHs) with arbitrary masses and spin orientations, using the effective-one-body (EOB) model. This model includes an analytic description of the inspiral phase, a short merger,…

Astrophysics · Physics 2009-11-13 Jeremy D. Schnittman , Alessandra Buonanno

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

XOB provides an almost eXact One-Body approach for the conservative part of binary merger dynamics of general relativity, which applies to the full three stages of the merger process, and allows the feature of gravitational waves be related…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Ding-fang Zeng

We extend the description of gravitational waves emitted by binary black holes during the final stages of inspiral and merger by introducing in the third post-Newtonian (3PN) effective-one-body (EOB) templates seven new ``flexibility''…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thibault Damour , Bala R. Iyer , Piotr Jaranowski , B. S. Sathyaprakash

We present a new analytic study of the equilibrium and stability properties of close binary systems containing polytropic components. Our method is based on the use of ellipsoidal trial functions in an energy variational principle. We…

Astrophysics · Physics 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

In this article we discuss the accuracy of effective one-dimensional theories used to describe the behavior of ultracold atomic ensembles confined in quantum wires by a harmonic trap. We derive within a fully many-body approach the…

Quantum Gases · Physics 2023-05-03 F Chevy , G Orso

Using a separable many-body variational wavefunction, we formulate a self-consistent effective Hamiltonian theory for fermionic many-body system. The theory is applied to the two-dimensional Hubbard model as an example to demonstrate its…

Strongly Correlated Electrons · Physics 2019-10-29 Xindong Wang , Hai-Ping Cheng

We discuss a new N-body simulation method for studying black hole binary dynamics. This method avoids previous numerical problems due to large mass ratios and trapped orbits with short periods. A treatment of relativistic effects is…

Astrophysics · Physics 2009-11-07 Sverre J Aarseth

We consider the non-relativistic effective field theory of ``extreme black holes'' in the Einstein-Maxwell-dilaton theory with an arbitrary dilaton coupling. We investigate finite-temperature behavior of gas of ``extreme black holes'' using…

High Energy Physics - Theory · Physics 2014-11-18 Yoshitaka Degura , Kiyoshi Shiraishi

By introducing a set of auxiliary equations representing a many-body system, we have derived an extension of the Kohn-Sham scheme for the density functional theory. These equations consist of a Kohn-Sham-type equation determining…

Materials Science · Physics 2009-11-07 Koichi Kusakabe

We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alessandra Buonanno , Yanbei Chen , Thibault Damour

We propose a general variational fermionic many-body wavefunction that generates an effective Hamiltonian in a quadratic form, which can then be exactly solved. The theory can be constructed within the density functional theory framework,…

Strongly Correlated Electrons · Physics 2020-10-30 Xindong Wang , Xiao Chen , Liqin Ke , Hai-Ping Cheng , B. N. Harmon

Extracting the unique information on ultradense nuclear matter from the gravitational waves emitted by merging, neutron-star binaries requires robust theoretical models of the signal. We develop a novel effective-one-body waveform model…

Natural orbital functional theory is considered for systems with one or more unpaired electrons. An extension of the Piris natural orbital functional (PNOF) based on electron pairing approach is presented, specifically, we extend the…

Eccentric black-hole binaries are among the most awaited sources of gravitational waves, yet their dynamics lack a consistent framework that provides a detailed and physically robust evolutionary description due to gauge issues. We present…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Giulia Fumagalli , Nicholas Loutrel , Davide Gerosa , Matteo Boschini

We analyze the dynamical evolution of binary stars that interact with a static background of single stars in the environment of a massive black hole (MBH). All stars are considered to be single mass, Newtonian point particles. We follow the…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-03 Clovis Hopman

Using the effective field theory framework for extended objects we describe the evolution of spinning compact objects in the late inspiral of the coalescence of a binary, before the plunge and merger, by including leading order corrections…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Irvin Martinez , Amanda Weltman

Context: The Circular Restricted Three-Body Problem provides a fundamental framework for understanding resonant dynamics in binary star systems. Aims: We develop a unified Hamiltonian formulation for mean-motion resonances that encompasses…

Earth and Planetary Astrophysics · Physics 2026-05-08 R. Capuzzo-Dolcetta

We introduce a gravitational waveform inversion strategy that discovers mechanical models of binary black hole (BBH) systems. We show that only a single time series of (possibly noisy) waveform data is necessary to construct the equations…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Brendan Keith , Akshay Khadse , Scott E. Field