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Gravitational waves are predicted by the general theory of relativity. In [6] D. Christodoulou showed that gravitational waves have a nonlinear memory. We proved in [3] that the electromagnetic field contributes at highest order to the…

Differential Geometry · Mathematics 2011-06-10 Lydia Bieri , PoNing Chen , Shing-Tung Yau

Using modern amplitude techniques we compute the leading classical and quantum corrections to the classical gravitational potential between two massive scalars induced by adding an $R^3$ term to Einstein gravity. We then study the…

High Energy Physics - Theory · Physics 2020-08-11 Andreas Brandhuber , Gabriele Travaglini

We consider soft graviton scattering for a theory where Einstein's gravity is minimally coupled to a scalar field in the presence of a cosmological constant, i.e. in a background de Sitter space. Employing a perturbative expansion in a…

High Energy Physics - Theory · Physics 2025-12-08 Divyesh N. Solanki , Pratik Chattopadhyay , Srijit Bhattacharjee

We obtain the equation governing the evolution of the cosmological gravitational-wave background, accounting for the presence of cosmic neutrinos, up to second order in perturbation theory. In particular, we focus on the epoch during…

Astrophysics · Physics 2009-02-23 A. Mangilli , N. Bartolo , S. Matarrese , A. Riotto

A nonintegrable phase-factor global approach to gravitation is developed by using the similarity of teleparallel gravity with electromagnetism. The phase shifts of both the COW and the gravitational Aharonov-Bohm effects are obtained. It is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Aldrovandi , J. G. Pereira , K. H. Vu

We study a novel cubic nonlinear effect, the tails-of-memory, which consist of a combination of the tail effect (backscattering of linear gravitational waves against the curvature of spacetime generated by the source) and the memory effect…

General Relativity and Quantum Cosmology · Physics 2024-02-16 David Trestini , Luc Blanchet

Quasidilaton massive gravity offers a physically well-defined gravitational theory with non-zero graviton mass. We present the full set of dynamical equations governing the expansion history of the universe, valid during radiation…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-03 Tina Kahniashvili , Arjun Kar , George Lavrelashvili , Nishant Agarwal , Lavinia Heisenberg , Arthur Kosowsky

We derive the relation between the scattering phase shift and the two-particle energy in the finite box, which is relevant for extracting the strong phase shifts in lattice QCD. We consider elastic scattering of two particles with different…

High Energy Physics - Lattice · Physics 2013-05-30 Luka Leskovec , Sasa Prelovsek

We demonstrate the universality of the gravitational classical deflection angle of massless particles through O(G^3) by studying the high-energy limit of full two-loop four-graviton scattering amplitudes in pure Einstein gravity as well as…

High Energy Physics - Theory · Physics 2020-07-22 Zvi Bern , Harald Ita , Julio Parra-Martinez , Michael S. Ruf

We incorporate non-local gravitational self-energy, motivated by string-inspired T-duality, into the Schr\"odinger-Newton equation. In this framework spacetime has an intrinsic non-locality, rendering the standard linear superposition…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Kimet Jusufi , Douglas Singleton , Francisco S. N. Lobo

The first theorem states that all flat space-time gravitational theories must have a Lagrangian with a first term that is an homogeneous (degree-I) function of the 4-velocity $u^i$, plus a functional of $\eta_{ij}u^i u^j$. The second…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Mario Castagnino , Luis Chimento

We initiate an investigation into whether fractional calculus, with its intrinsic long-tailed memory and nonlocal features, can provide a viable model for gravitational-wave memory effects. We consider two toy constructions: ($i$) a…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Sercan Kaya , Bayram Tekin

The symmetries of the gravitational scattering are intimately tied to the symmetries which preserve asymptotic flatness at null infinity. In Penrose's definition of asymptotic flatness, a central role is played by the notion of asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Marc Geiller , Alok Laddha , Céline Zwikel

The gravitational shock waves have provided crucial insights into entanglement structures of black holes in the AdS/CFT correspondence. Recent progress on the soft hair physics suggests that these developments from holography may also be…

High Energy Physics - Theory · Physics 2022-01-19 Shuwei Liu , Beni Yoshida

Gravitational waves can teach us not only about sources and the environment where they were generated, but also about the gravitational interaction itself. Here we study the features of gravitational radiation produced during the scattering…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Seth Hopper , Vitor Cardoso

We demonstrate that full description of both electromagnetic and gravitational radiation from massless particles lies outside the scope of classical theory. Synchrotron radiation from the hypothetical massless charge in quantum…

High Energy Physics - Theory · Physics 2016-03-16 D. V. Gal'tsov

We revisit the issue of memory effects, i.e. effects giving rise to a net cumulative change of the configuration of test particles, using a toy model describing the emission of radiation by a compact source and focusing on the scalar, hence…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Hebertt Leandro , Riccardo Sturani

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Samuel E. Gralla , Kunal Lobo

It is well known that two types of gravitational wave memory exist in general relativity (GR): the linear memory and the non-linear, or Christodoulou memory. These effects, especially the latter, depend on the specific form of Einstein…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Song Ming Du , Atsushi Nishizawa

We carry out a detailed analytical investigation of the propagation of gravitational waves in ghost-free bimetric gravity in a late-time de Sitter epoch. In this regime, the dynamical equations for the massless and massive graviton modes…

General Relativity and Quantum Cosmology · Physics 2026-04-14 David Brizuela , Marco de Cesare , Araceli Soler Oficial