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In the classical electrodynamics of point charges in vacuum, the electromagnetic field, and therefore the Lorentz force, is ill-defined at the locations of the charges. Kiessling resolved this problem by using the momentum balance between…

Mathematical Physics · Physics 2024-03-20 Aditya Agashe , Ethan Lee , A. Shadi Tahvildar-Zadeh

General relativity explains gravitational radiation from binary black hole or neutron star mergers, from core-collapse supernovae and even from the inflation period in cosmology. These waves exhibit a unique effect called memory or…

General Relativity and Quantum Cosmology · Physics 2015-05-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

We study the retarded field sourced by a uniformly accelerated particle in a non-local scalar field theory. While the presence of non-locality regularizes the field at the location of the source, we also show that Lorentz-invariant…

High Energy Physics - Theory · Physics 2021-05-12 Ivan Kolář , Jens Boos

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

We explicitly calculate the gravitational wave memory effect for classical point particle sources in linearized gravity off of an even dimensional Minkowski background. We show that there is no memory effect in $d>4$ dimensions, in…

General Relativity and Quantum Cosmology · Physics 2017-07-04 David Garfinkle , Stefan Hollands , Akihiro Ishibashi , Alexander Tolish , Robert M. Wald

Gravitational memory, a residual change, arises after a finite gravitational wave pulse interacts with free masses. We calculate the memory effect in massive gravity as a function of the graviton mass $(m_g)$ and show that it is discretely…

General Relativity and Quantum Cosmology · Physics 2019-02-07 Ercan Kilicarslan , Bayram Tekin

We investigate gravitational radiation memory and its corresponding effect on the asymptotic symmetries of a body whose exterior is a boosted Schwarzschild spacetime. First, in the context of linearized theory, we consider such a…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Thomas Mädler , Jeffrey Winicour

We study the propagation of a massless scalar wave in de Sitter spacetime perturbed by an arbitrary central mass. By focusing on the late time limit, this probes the portion of the scalar signal traveling inside the null cone. Unlike in…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Yi-Zen Chu , M. Afif Ismail , Yen-Wei Liu

The gravitational memory effects of Chern-Simons modified gravity are considered in the asymptotically flat spacetime. If the Chern-Simons scalar does not directly couple with the ordinary matter fields, there are also displacement, spin…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Shaoqi Hou , Tao Zhu , Zong-Hong Zhu

It is generally assumed that the retarded Lienard-Wiechert electromagnetic field produced by a point particle depends on the acceleration of that source particle. This dependence is not real, it is an illusion. The true electromagnetic…

Classical Physics · Physics 2025-09-12 Calin Galeriu

We present and analyze a new non-perturbative radiative solution of Horndeski gravity. This exact solution is constructed by a disformal mapping of a seed solution of the shift-symmetric Einstein-Scalar system belonging to the…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Jibril Ben Achour , Mohammad Ali Gorji , Hugo Roussille

The relation between gravitational memory effects and Bondi-Metzner-Sachs symmetry of the asymptotically flat spacetimes is studied in the scalar-tensor theory. For this purpose, the solutions to the equations of motion near the future null…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Shaoqi Hou , Zong-Hong Zhu

The scalar and electromagnetic fields produced by the geodesic and uniformly accelerated discrete charges in de Sitter spacetime are constructed by employing the conformal relation between de Sitter and Minkowski space. A special attention…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jiri Bicak , Pavel Krtous

A Gravitoelectromagnetism formalism in the context of metric f(R) theory is presented and the analogue Lorentz force law is derived. Some interesting results such as the dependence of the deviation from General Relativity on the absolute…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Abhinandan Dass , Stefano Liberati

For smooth solutions to Maxwell's equations sourced by a smooth charge-current distribution $j_a$ in stationary, asymptotically flat spacetimes, one can prove an energy conservation theorem which asserts the vanishing of the sum of (i) the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Theodore C. Quinn , Robert M. Wald

Considering both the power Maxwell invariant source and the Einstein--Gauss--Bonnet gravity, we present a new class of static solutions yields a spacetime with a longitudinal nonlinear magnetic field. These horizonless solutions have no…

High Energy Physics - Theory · Physics 2011-05-30 S. H. Hendi , S. Kordestani , S. N. D. Motlagh

Retarded electromagnetic potentials are derived from Maxwell's equations and the Lorenz condition. The difference found between these potentials and the conventional Li\'{e}nard-Wiechert ones is explained by neglect, for the latter, of the…

Classical Physics · Physics 2015-06-05 J. H. Field

Guided by the Einstein equivalence principle that identifies the phenomenon of gravitation as a manifestation of the dynamics of spacetime in contrast to a localizable force, we review and explore its consequences on formulating a theory of…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Jann Zosso

There is a fundamental difference between the classical expression for the retarded electromagnetic potential and the corresponding retarded solution of the wave equation that governs the electromagnetic field. While the boundary…

Mathematical Physics · Physics 2008-05-05 Houshang Ardavan , Arzhang Ardavan , John Singleton , Joseph Fasel , Andrea Schmidt

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev