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We develop a definitive physical-space scattering theory for the scalar wave equation on Kerr exterior backgrounds in the general subextremal case |a|<M. In particular, we prove results corresponding to "existence and uniqueness of…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Mihalis Dafermos , Igor Rodnianski , Yakov Shlapentokh-Rothman

We discuss the effects of the black holes' spin-multipole structure in the orbital dynamics of binary black holes according to general relativity, focusing on the leading-post-Newtonian-order couplings at each order in an expansion in the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Justin Vines , Jan Steinhoff

We consider the propagation of perturbations along an infinitely long stationary open string in the background of a Schwarzschild black hole. The equations of motion for the perturbations in the 2 transverse physical directions are solved…

High Energy Physics - Theory · Physics 2009-10-22 A. L. Larsen

Hawking's free field theory is expected to break down after Page time. In previous work, we have shown that a primary dynamical reason for this breakdown is the dominance of graviton fluctuations of the horizon that mediate scattering…

High Energy Physics - Theory · Physics 2025-12-23 Nava Gaddam , Nico Groenenboom

We compute the far-field time-domain waveform of the gravitational waves produced in the scattering of two spinning massive objects. The results include linear-in-spin ($S$) couplings and first-order gravitational corrections ($G^3$), and…

High Energy Physics - Theory · Physics 2023-12-25 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

We study the dynamics of a binary orbiting a supermassive black hole (SMBH), focusing on both binary scattering in unbound orbits and eccentric von Zeipel-Lidov-Kozai (vZLK) oscillations in bound orbits. The motion is described in a local…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Kei-ichi Maeda , Hirotada Okawa

In AdS/CFT, how is the bulk first law realized in the boundary CFT? Recently, Faulkner et al. showed that in certain holographic contexts, the bulk first law has a precise microscopic interpretation as a first law of entanglement entropy in…

High Energy Physics - Theory · Physics 2014-11-04 William R. Kelly

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 investigate the dynamic and thermodynamic laws governing rotating regular black holes. By analyzing dynamic properties, i.e., the interaction between scalar particles and rotating regular black holes, we establish the criteria that…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Hao Yang , Chang-Jiang Yu , Yan-Gang Miao

Black hole thermodynamics provides a rare window into the elusive quantum nature of gravity. In the first-order formalism for gravitational theories, where torsion and gauge freedom are present, it has been suggested that the first law of…

General Relativity and Quantum Cosmology · Physics 2025-12-15 O. Ramirez , Y. Bonder

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Thibault Damour

We analyze scattering in a system of two (distinguishable) particles moving on the half-line $\overline{\rz}_+$ under the influence of singular two-particle interactions. Most importantly, due to the spatial localization of the interactions…

Mathematical Physics · Physics 2018-11-14 Sebastian Egger , Joachim Kerner

Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Shuanglin Huang , Xuefeng Feng , Yun-Kau Lau

We present a variational formulation of Einstein-Maxwell-dilaton theory in flat spacetime, when the asymptotic value of the scalar field is not fixed. We obtain the boundary terms that make the variational principle well posed and then…

High Energy Physics - Theory · Physics 2018-05-09 Dumitru Astefanesei , Romina Ballesteros , David Choque , Raul Rojas

We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiroyuki Nakano , Carlos O. Lousto

We study the long-term evolution of massive black hole binaries (MBHBs) at the centers of galaxies using detailed scattering experiments to solve the full three-body problem. Ambient stars drawn from a isotropic Maxwellian distribution…

Astrophysics · Physics 2011-02-11 A. Sesana , F. Haardt , P. Madau

The scattering of massless waves of helicity $|h|=0,\frac{1}{2},1$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelenght regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we…

High Energy Physics - Theory · Physics 2023-02-22 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

We obtain from the first principles a general-relativistic Keplerian rotation law for self-gravitating disks around spinning black holes. This is an extension of a former rotation law that was designed mainly for toroids around spin-less…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Janusz Karkowski , Wojciech Kulczycki , Patryk Mach , Edward Malec , Andrzej Odrzywolek , Michal Pirog

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