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On-shell scattering amplitudes have proven to be useful tools for tackling the two-body problem in general relativity. This thesis outlines how to compute relevant classical observables that are themselves on-shell, directly from…

High Energy Physics - Theory · Physics 2021-05-24 Ben Maybee

We present a new numerical code developed for the evolution of binary black-hole spacetimes using different initial data and evolution techniques. The code is demonstrated to produce state-of-the-art simulations of orbiting and inspiralling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ulrich Sperhake

We review recent progress in numerical relativity simulations of black-hole (BH) spacetimes. Following a brief summary of the methods employed in the modeling, we summarize the key results in three major areas of BH physics: (i) BHs as…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso

Two-body scatterings under the potential of a massive object are very common in astrophysics. If the massive body is far enough away that the two small bodies are in their own gravitational sphere of influence, the gravity of the massive…

Solar and Stellar Astrophysics · Physics 2023-05-24 Yihan Wang , Saavik Ford , Rosalba Perna , Barry McKernan , Zhaohuan Zhu , Bing Zhang

In the last decade, the first law of binary black hole mechanics played an important unifying role in the gravitational two-body problem. More recently, binary black hole scattering and the application of high-energy physics methods have…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Riccardo Gonzo , Jack Lewis , Adam Pound

This paper presents techniques and results for simulations of unequal mass, non-spinning black hole binaries with pseudo-spectral methods. Specifically, we develop an efficient root-finding procedure to ensure the black hole initial data…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Luisa T. Buchman , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

High Energy Physics - Theory · Physics 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

High Energy Physics - Theory · Physics 2020-11-11 Clifford Cheung , Mikhail P. Solon

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test-beds for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Birjoo Vaishnav , Ian Hinder , Frank Herrmann , Deirdre Shoemaker

Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational-wave research and relativistic astrophysics to cosmology and high-energy physics.…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ulrich Sperhake , Vitor Cardoso , Christian D. Ott , Erik Schnetter , Helvi Witek

A technique for translating the classical scattering function of two gravitationally interacting bodies into a corresponding (effective one-body) Hamiltonian description has been recently introduced [Phys.\ Rev.\ D {\bf 94}, 104015 (2016)].…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Thibault Damour

We investigate the hyperbolic scattering of test particles, spinning test particles and particles with spin-induced quadrupolar structure by a Kerr black hole in the ultrarelativistic regime. We also study how the features of the scattering…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Donato Bini , Andrea Geralico

Gravitational waves from binary black hole mergers provide a glimpse of gravitational dynamics in its most extreme observable regime, potentially enabling precision tests of general relativity (GR) and of the Kerr description of black…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Ayush Roy , Lorenzo Küchler , Adam Pound , Rodrigo Panosso Macedo

This paper studies the formation and evolution of binary supermassive black holes (SMBHs) in rotating galactic nuclei, focusing on the role of stellar dynamics. We present the first N-body simulations that follow the evolution of the SMBHs…

Astrophysics · Physics 2011-02-11 Ingo Berentzen , Miguel Preto , Peter Berczik , David Merritt , Rainer Spurzem

We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Donato Bini , Andrea Geralico , Gabriele Gionti , Wolfango Plastino , Nelson Velandia

In the spirit of studying the information paradox as a scattering problem, we pose and answer the following questions: i) What is the scattering amplitude for $N$ particles to emerge from a large black hole when two energetic particles are…

High Energy Physics - Theory · Physics 2022-01-28 Nava Gaddam , Nico Groenenboom

We study initially unbound systems of two black holes using numerical relativity (NR) simulations performed with GR-Athena++. We focus on regions of the parameter space close to the transition from scatterings to dynamical captures,…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Simone Albanesi , Alireza Rashti , Francesco Zappa , Rossella Gamba , William Cook , Boris Daszuta , Sebastiano Bernuzzi , Alessandro Nagar , David Radice

Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the time-symmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Piotr Jaranowski , Gerhard Schäfer

We describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. Our approach combines methods for integration and matching…

High Energy Physics - Theory · Physics 2020-02-17 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

Numerical relativity simulations provide a full description of the dynamics of binary systems, including gravitational radiation. The waveforms produced by these simulations have a number of applications in gravitational-wave detection and…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Taylor Knapp , Katerina Chatziioannou , Keefe Mitman , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder , Harald Pfeiffer
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