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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

Classical double copy is an intriguing relationship between classical solutions to a gravity theory and solutions to classical Yang-Mills equations. Although formally inspired by the double copy relation between (quantum) scattering…

High Energy Physics - Theory · Physics 2020-02-19 Athira PV , A Manu

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

The far-zone flux of energy contains hereditary (tail) contributions that depend on the entire past history of the source. Using the multipolar post-Minkowskian wave generation formalism, we propose and implement a semi-analytical method in…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

We present the conservative dynamics of compact binaries to third order in the post-Minkowskian approximation in a theory that extends general relativity by a massless scalar field coupled to the Gauss-Bonnet invariant. We employ the…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Gabriel Luz Almeida , Yuchen Du , Zhengwen Liu , Hongbin Wang

The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In…

High Energy Physics - Theory · Physics 2015-12-09 A. Luna , R. Monteiro , D. O'Connell , C. D. White

Gravitational waves contain tail effects that are due to the backscattering of linear waves in the curved space-time geometry around the source. The knowledge as well as the accuracy of the two-body inspiraling post-Newtonian (PN) dynamics…

General Relativity and Quantum Cosmology · Physics 2012-10-03 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

We compute the (displacement) gravitational wave memory due to a quasicircular inspiral of two black holes using a variety of perturbative techniques. Within post-Newtonian theory, we extend previous results for non-spinning binaries to…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Kevin Cunningham , Chris Kavanagh , Adam Pound , David Trestini , Niels Warburton , Jakob Neef

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

We consider the classical double copy, that relates solutions of biadjoint scalar, gauge and gravity theories. Using a recently developed twistor expression of this idea, we use well-established techniques to show that the multipole moments…

High Energy Physics - Theory · Physics 2022-11-09 Erick Chacón , Andres Luna , Chris D. White

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions. This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that…

High Energy Physics - Theory · Physics 2018-04-25 David Chester

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation…

High Energy Physics - Theory · Physics 2015-06-11 Ryo Saotome , Ratindranath Akhoury

With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a…

High Energy Physics - Theory · Physics 2024-05-10 Tim Adamo , Riccardo Gonzo , Anton Ilderton

We derive the energy fluxes radiated by compact binary systems, including "hairy" black holes, in Einstein-Maxwell-dilaton theories, for circular orbits and at quadrupolar order. This enables to include in their resummed effective-one-body…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Félix-Louis Julié

We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spin-less sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and…

General Relativity and Quantum Cosmology · Physics 2015-03-19 S. Foffa , R. Sturani

We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the $\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the propagation of a…

High Energy Physics - Theory · Physics 2023-04-11 Francesco Comberiati , Canxin Shi

Gravitational waves contain tail effects which are due to the back-scattering of linear waves in the curved space-time geometry around the source. In this paper we improve the knowledge and accuracy of the two-body inspiraling…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we…

We evaluate the {\em three-dimensional}, {\em non-axis-symmetric}, {\em time-dependent} Newton potential generated by a pair of mutually orbiting objects such as pairs of ordinary or neutron stars and, in some approximations, black holes,…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Renato Spigler

In this thesis we study the conservative gravitational dynamics of binary systems using the eikonal approximation; allowing us to use scattering amplitude techniques to calculate dynamical quantities in classical gravity. This has…

High Energy Physics - Theory · Physics 2020-09-24 Arnau Koemans Collado