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We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and $\mathcal N {=} 8$ supergravity in the formalism of Kosower, Maybee, and O'Connell (KMOC). We focus on the gravitational…

High Energy Physics - Theory · Physics 2021-11-03 Enrico Herrmann , Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

We present a novel calculation of the four-momentum that is radiated into gravitational waves during the scattering of two arbitrarily spinning bodies. Our result, which is accurate to leading order in $G$, to quadratic order in the spins,…

High Energy Physics - Theory · Physics 2022-08-05 Massimiliano Maria Riva , Filippo Vernizzi , Leong Khim Wong

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

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 derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton's contant $G$ and at all orders in the velocities, using the Effective Field Theory worldline approach. Following…

High Energy Physics - Theory · Physics 2022-07-29 Massimiliano Maria Riva , Filippo Vernizzi

Using the recently established formalism of a worldline quantum field theory (WQFT) description of the classical scattering of two spinless black holes, we compute the far-field time-domain waveform of the gravitational waves produced in…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff

We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading…

High Energy Physics - Theory · Physics 2025-06-06 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total…

High Energy Physics - Theory · Physics 2023-03-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Jakob Neef , Rafael A. Porto

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 compute the conservative two-body Hamiltonian of a compact binary system with a spinning black hole through $\mathcal{O}(G^3)$ to all orders in velocity, including linear and quadratic spin terms. To obtain our results we calculate the…

High Energy Physics - Theory · Physics 2023-06-08 Fernando Febres Cordero , Manfred Kraus , Guanda Lin , Michael S. Ruf , Mao Zeng

A particle of mass $\mu$ moves on a circular orbit of a nonrotating black hole of mass $M$. Under the restrictions $\mu/M \ll 1$ and $v \ll 1$, where $v$ is the orbital velocity, we consider the gravitational waves emitted by such a binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eric Poisson , Misao Sasaki

We derive the classical gravitational radiation from an aligned spin binary black hole on \textit{closed} orbits, using a dictionary built from the 5-point QFT scattering amplitude of two massive particles exchanging and emitting a…

High Energy Physics - Theory · Physics 2022-01-10 Yilber Fabian Bautista , Nils Siemonsen

We investigate the gravitational energy-momentum distribution in the space-time of two black holes in circular orbit, in the context of the teleparallel equivalent of general relativity. This field configuration is important because…

General Relativity and Quantum Cosmology · Physics 2012-02-01 J. W. Maluf , S. C. Ulhoa , J. F. da Rocha-Neto

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

Using the Multipolar Post-Minkowskian formalism, we compute the frequency-domain waveform generated by the gravitational scattering of two nonspinning bodies at the fourth post-Minkowskian order ($O(G^4)$, or two-loop order), and at the…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Donato Bini , Thibault Damour , Andrea Geralico

The low-energy dynamics of any system admitting a continuum of static configurations is approximated by slow motion in moduli (configuration) space. Here, following Ferrell and Eardley, this moduli space approximation is utilized to study…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Joan Camps , Shahar Hadar , Nicholas S. Manton

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer
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