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We review the description of classical gravitational scatterings of two compact objects by means of the eikonal framework. This encodes via scattering amplitudes both the motion of the bodies and the gravitational-wave signals that such…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Carlo Heissenberg , Rodolfo Russo

We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm…

High Energy Physics - Theory · Physics 2021-08-20 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Planté , P. Vanhove

We investigate the influence of the generalized Compton wavelength (GCW), emerging from a three-dimensional dynamical quantum vacuum (3D DQV) on Schwarzschild-like black hole spacetimes, motivated by the work of Fiscaletti…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Reggie C. Pantig , Ali Ovgun , Gaetano Lambiase

We propose a polymer quantization scheme to derive the effective propagation of gravitational waves on a classical Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. These waves, which may originate from a high energy source, are a…

General Relativity and Quantum Cosmology · Physics 2022-03-07 Angel Garcia-Chung , James B. Mertens , Saeed Rastgoo , Yaser Tavakoli , Paulo Vargas Moniz

We give a formal treatment of the "Correlated Worldline" theory of quantum gravity. The generating functional is written as a product over multiple copies of the coupled matter and gravitational fields; paths for fields are correlated via…

General Relativity and Quantum Cosmology · Physics 2021-03-24 A. O. Barvinsky , J. Wilson-Gerow , P. C. E. Stamp

Open Wilson line operators and generalized star product have been studied extensively in noncommutative gauge theories. We show that they also show up in noncommutative scalar field theories as universal structures. We first point out that…

High Energy Physics - Theory · Physics 2009-11-07 Y. Kiem , S. -J. Rey , H. -T. Sato , J. -T. Yee

A simple example is given of the implementation of the usual method of asymptotic expansions for weak gravitational fields. A scalar, preferred-frame theory of gravitation is considered, but the method is general. Two kinds of asymptotic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Cosmological solitonic objects such as monopoles, cosmic strings, domain walls, oscillons and Q-balls often appear in theories of the early Universe. We demonstrate that such scenarios are generically accompanied by a novel production…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-28 Kaloian D. Lozanov , Misao Sasaki , Volodymyr Takhistov

We study the space and properties of global and local observables for radiation emitted in the scattering of a massive scalar field in gauge and gravitational plane-wave backgrounds, in both the quantum and classical theory. We first…

High Energy Physics - Theory · Physics 2024-03-14 Riccardo Gonzo , Anton Ilderton

We consider the general form of "Correlated Worldline" (CWL) theories of quantum gravity. We show that one can have 2 different kinds of CWL theory, in which the generating functional is written as either a sum or a product over multiple…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Andrei O. Barvinsky , Daniel Carney , Philip C. E. Stamp

We develop a framework to describe gravitational wave propagation through a stochastic distribution of weak gravitational lenses beyond the geometric optics limit. We model the lens distribution as a static random background field and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-17 Ripalta Amoruso , Ginevra Braga , Alice Garoffolo , Francescopaolo Lopez , Nicola Bartolo , Sabino Matarrese

We present the first computation of the nonlinear gravitational memory waveform for the scattering of two compact objects in General Relativity at leading order in the post-Minkowskian expansion. We use the scattering-amplitudes-based…

High Energy Physics - Theory · Physics 2025-06-27 Alessandro Georgoudis , Vasco Goncalves , Carlo Heissenberg , Julio Parra-Martinez

We show that the formation of large-scale structures through gravitational instability in the expanding universe can be fully described through a path-integral formalism. We derive the action S[f] which gives the statistical weight…

Astrophysics · Physics 2009-11-10 P. Valageas

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field…

High Energy Physics - Theory · Physics 2021-01-15 Michèle Levi , Fei Teng

I demonstrate that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky

Gravitational Compton scattering process with a massive fermion is studied in the context of the linearized gravity. Gravitational gauge invariance and graviton transversality cause the transition amplitude to be factorized into that of…

High Energy Physics - Phenomenology · Physics 2010-11-01 S. Y. Choi , J. S. Shim , H. S. Song

We review theory and applications of weak gravitational lensing. After summarising Friedmann-Lemaitre cosmological models, we present the formalism of gravitational lensing and light propagation in arbitrary space-times. We discuss how…

Astrophysics · Physics 2008-11-26 Matthias Bartelmann , Peter Schneider

Waves propagating through a gravitational potential exhibit wave-optics effects when their wavelength is not significantly smaller than the lensing scales. We study the propagation of a scalar wave, governed by the Klein-Gordon equation in…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Emma Bruyère , Cyril Pitrou

We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $\mathcal{O}(G^2)$ and to all orders in velocity. Our calculation extends a…

High Energy Physics - Theory · Physics 2021-07-28 Dimitrios Kosmopoulos , Andres Luna
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