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Related papers: Black-hole scattering with numerical relativity: S…

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We compare numerical relativity (NR) data on the scattering of equal-mass, non-spinning binary black holes to various analytical predictions based on post-Minkowskian (PM) results. While the usual sequence of PM-expanded scattering angles…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Thibault Damour , Piero Rettegno

The study of unbound binary-black-hole encounters provides a gauge-invariant approach to exploring strong-field gravitational interactions in two-body systems, which can subsequently inform waveform models for bound orbits. In this work, we…

In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further low-velocity (post-Newtonian) expansion of the motion. We…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Donato Bini , Andrea Geralico , Chris Kavanagh , Adam Pound , Davide Usseglio

We compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying a scalar charge $Q$ off a Schwarzschild black hole, showing a remarkably…

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Oliver Long

We probe the gravitational interaction of two black holes in the strong-field regime by computing the scattering angle $\chi$ of hyperbolic-like, close binary-black-hole encounters as a function of the impact parameter. The fully…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Thibault Damour , Federico Guercilena , Ian Hinder , Seth Hopper , Alessandro Nagar , Luciano Rezzolla

Geodesic scattering of a test particle off a Schwarzschild black hole can be parameterized by the speed-at-infinity $v$ and the impact parameter $b$, with a "separatrix", $b=b_c(v)$, marking the threshold between scattering and plunge. Near…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Oliver Long , Christopher Whittall , Leor Barack

Highly accurate models of the gravitational-wave signal from coalescing compact binaries are built by completing analytical computations of the binary dynamics with non-perturbative information from numerical relativity (NR) simulations. In…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Piero Rettegno , Geraint Pratten , Lucy Thomas , Patricia Schmidt , Thibault Damour

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

Using self-force methods, we consider the hyperbolic-type scattering of a pointlike particle carrying a scalar charge $Q$ off a Schwarzschild black hole. For given initial velocity and impact parameter, back-reaction from the scalar field…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Leor Barack , Oliver Long

The study of hyperbolic binary black hole encounters yields an effective probe of the strong field regime of black holes, thus providing an additional channel to test General Relativity. We study the scattering of two black holes in…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shaun Swain , Tamanna Jain , Llibert Aresté Saló

We demonstrate equivalences, under simple mappings, between the dynamics of three distinct systems---(i) an arbitrary-mass-ratio two-spinning-black-hole system, (ii) a spinning test black hole in a background Kerr spacetime, and (iii)…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Justin Vines

We compute the (center-of-mass frame) scattering angle $\chi$ of hyperboliclike encounters of two spinning black holes, at the fourth post-Newtonian approximation level for orbital effects, and at the next-to-next-to-leading order for…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Donato Bini , Thibault Damour

In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions. We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to…

High Energy Physics - Theory · Physics 2019-10-02 Arnau Koemans Collado , Paolo Di Vecchia , Rodolfo Russo

We use $\mathcal N=8$ supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative part of the classical scattering angle of two extremal…

High Energy Physics - Theory · Physics 2021-01-13 Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

We present new Numerical Relativity calculations of the scattering angle $\chi$ between two, equal-mass, black holes on hyperbolic-like orbits. We build upon previous work considering, for the first time, spinning black holes, with equal…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Seth Hopper , Alessandro Nagar , Piero Rettegno

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

We study the link between classical scattering of spinning black holes and quantum amplitudes for massive spin-$s$ particles. Generic spin orientations of the black holes are considered, allowing their spins to be deflected on par with…

High Energy Physics - Theory · Physics 2019-11-20 Alfredo Guevara , Alexander Ochirov , Justin Vines

Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the harmonic slicing condition is presented.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Carles Bona , Joan Masso , Joan Stela

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon
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