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The energy at null infinity is presented with the help of a simple example of a massless scalar field in Minkowski spacetime. It is also discussed for Einstein gravity. In particular, various aspects of the loss of the energy in the…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Jacek Jezierski

We investigate the coupling of the electromagnetic sources (charge and current densities) to the scalar and vector potentials in classical electrodynamics, using Green function techniques. As is well known, the scalar potential shows an…

Classical Physics · Physics 2015-08-17 B. J. Wundt , U. D. Jentschura

The difficulties with which the concept of point-like particles is beset, such as the infinities encountered in the existing theories of elementary particles, suggest a different approach to the study of these particles. Instead of…

General Physics · Physics 2011-07-25 Seyyed Mahmoud Hessaby

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang

Free massless fields of any spin in flat D-dimensional spacetime propagate at the speed of light. But the retarded fields produced by the corresponding point-like moving sources share this property only for even D. Since the Green's…

General Relativity and Quantum Cosmology · Physics 2021-09-24 D. V. Gal'tsov , M. Khlopunov

We provide a new perspective on the general matching conditions between the future of past null infinity and the past of future null infinity, emphasizing the impact of dominant logarithmic terms in the asymptotic expansion of the fields…

High Energy Physics - Theory · Physics 2025-12-19 Matías Briceño , Hernán A. González , Marc Henneaux , Alfredo Pérez

We calculate the singular field of an accelerated point particle (scalar charge, electric charge or small gravitating mass) moving on an accelerated (non-geodesic) trajectory in a generic background spacetime. Using a mode-sum…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

We establish small-data global existence and decay for the causal-informational nonlocal gravity model CETOmega in 3+1 dimensions. Under harmonic gauge the field equations reduce to a quasilinear hyperbolic system with causal memory…

Analysis of PDEs · Mathematics 2026-03-31 Christian Balfagón

The spin memory effect is a recently predicted relativistic phenomenon in asymptotically flat spacetimes that become nonradiative infinitely far in the past and future. Between these early and late times, the magnetic-parity part of the…

General Relativity and Quantum Cosmology · Physics 2017-04-28 David A. Nichols

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Lydia Bieri , David Garfinkle

Based on a recently proposed reinterpretation of gravitational wave memory that builds up on the definition of gravitational waves pioneered by Isaacson, we provide a unifying framework to derive both ordinary and null memory from a single…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Lavinia Heisenberg , Guangzi Xu , Jann Zosso

In the Born, Infeld, Bopp, Podolsky and Dirac theories the electron mass is finite (or zero), but gravity effects have not been considered. Shirokov and Fisher showed that in studying of origin of elemental particle masses we can not…

General Relativity and Quantum Cosmology · Physics 2017-05-23 Yi-Shi Duan

The memory effect of test particles interacting with pp-wave Gaussian pulses is investigated for polarization modes beyond the standard quadrupolar $+$ and $\times$ states. Massive geodesic equations are solved numerically for several…

General Relativity and Quantum Cosmology · Physics 2026-03-31 F. L. Carneiro , H. P. de Carvalho , M. P. Lobo , L. A. Cabral

In a previous paper, a bound on the negative energy density seen by an arbitrary inertial observer was derived for the free massless, quantized scalar field in four-dimensional Minkowski spacetime. This constraint has the form of an…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

Every emission of radiation in gravity also includes a nonwavelike component that leaves a permanent change in proper distances of the spacetime it travels through. This phenomenon is known as gravitational displacement memory. Building up…

General Relativity and Quantum Cosmology · Physics 2025-07-21 Lavinia Heisenberg , Benedetta Rosatello , Guangzi Xu , Jann Zosso

We study the behavior in the remote past and future of solutions of an equation of motion for charged particles proposed by F. Rohrlich, for the special case in which the motion is in one spatial dimension. We show that if an external force…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen Parrott

The behaviour of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string spacetime is discussed. It is considered two possible scenarios of the Lorentz…

High Energy Physics - Theory · Physics 2016-03-16 H. Belich , K. Bakke

A scalar bimetric theory of gravity with a preferred reference frame is summarized. Dynamics is governed by an extension of Newton's second law. In the static case, geodesic motion is recovered together with Newton's attraction field. In…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mayeul Arminjon

In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime. An extension of an earlier…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Tobias S. Keidl , Abhay G. Shah , John L. Friedman , Dong-Hoon Kim , Larry R. Price

We examine gravitational wave memory in the case where sources and detector are in a $\Lambda$CDM cosmology. We consider the case where the universe can be highly inhomogeneous, but the gravitatational radiation is treated in the short…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Lydia Bieri , David Garfinkle , Nicolas Yunes
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