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We describe an approach to incorporating the physical effects of the absorption of energy by the event horizon of black holes in the scattering amplitudes based post-Minkowskian, point-particle effective description. Absorptive dynamics are…

High Energy Physics - Theory · Physics 2024-03-05 Callum R. T. Jones , Michael S. Ruf

Making use of the recently-derived, all-spin, opposite-helicity Compton amplitude, we calculate the classical gravitational scattering amplitude for one spinning and one spinless object at $\mathcal{O}(G^{2})$ and all orders in spin. By…

High Energy Physics - Theory · Physics 2022-10-12 Rafael Aoude , Kays Haddad , Andreas Helset

Gravitational-wave memory is a low-frequency, non-oscillatory component of the radiation field that provides a potentially powerful but as yet undetected probe of strong-field gravity. We present the first calculation of gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Silvia Gasparotto , Jann Zosso , Llibert Aresté Saló , Daniela D. Doneva , Stoytcho S. Yazadjiev

This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiralling compact binary system to the five halves post-Newtonian (2.5PN) approximation of general relativity. Extending a recently…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

We investigate graviton radiation in gravitational scattering at small impact parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime in which classical collapse is thought to occur, and thus radiation may be…

High Energy Physics - Theory · Physics 2017-12-20 Marcello Ciafaloni , Dimitri Colferai

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

We present numerical three-body experiments that include the effects of gravitational radiation reaction by using equations of motion that include the 2.5-order post-Newtonian force terms, which are the leading order terms of energy loss…

Astrophysics · Physics 2009-11-13 Kayhan Gultekin , M. Coleman Miller , Douglas P. Hamilton

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

High Energy Physics - Theory · Physics 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

We study gravitational waves from a stellar-mass binary orbiting a spinning supermassive black hole, a system referred to as a binary extreme mass ratio inspiral (b-EMRI). We use Dixon's formalism to describe the stellar-mass binary as a…

General Relativity and Quantum Cosmology · Physics 2025-06-27 João S. Santos , Vitor Cardoso , José Natário , Maarten van de Meent

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton

Coalescing binary black holes emit anisotropic gravitational radiation. This causes a net emission of linear momentum that produces a gradual acceleration of the source. As a result, the final remnant black hole acquires a characteristic…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Juan Calderón Bustillo , James A. Clark , Pablo Laguna , Deirdre Shoemaker

Motivated by recent efforts to bridge between weak-field and strong-field descriptions of black-hole binary dynamics, we develop a resummation scheme for post-Minkowskian radiative observables in extreme-mass-ratio scattering, augmented…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Leor Barack , Riccardo Gonzo , Benjamin Leather , Oliver Long , Niels Warburton

We consider binary systems of coalescing, nonspinning, black holes of masses $m_{1}$ and $m_{2}$ and show that the gravitational recoil velocity for any mass ratio can be obtained accurately by extrapolating the waveform of the test-mass…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alessandro Nagar

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Donato Bini , Giorgio Di Russo

Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Yasushi Mino , Jeandrew Brink

We show that the gravitational waveform emitted by a binary on an eccentric orbit can be naturally decomposed into a series of harmonics. The frequencies of these harmonics depend upon the radial frequency, $f_{\mathrm{r}}$, determined by…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Ben G. Patterson , Sharon Mary Tomson , Stephen Fairhurst

Gravitational wave (GW) observations provide insight into the gravity regime. These observations relies on the comparison of the data to the GWs model, which depends on the orbital evolution of the binary systems. In this paper, we study…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Xing Zhang , Wen Zhao , Tan Liu , Kai Lin , Chao Zhang , Xiang Zhao , Shaojun Zhang , Tao Zhu , Anzhong Wang

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

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
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