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We consider rectilinear free-space propagation of electromagnetic wavepackets using electromagnetic field theory, scalar wavepacket propagation, and quantum-mechanical formalism. We demonstrate that spatially localized wavepackets are…

Quantum Physics · Physics 2026-05-12 Konstantin Y. Bliokh

Inspired by the problem of Planckian scattering we describe a classical effective field theory for weak ultra relativistic scattering in which field propagation is instantaneous and transverse and the particles' equations of motion localize…

High Energy Physics - Theory · Physics 2011-08-08 Barak Kol

We investigate a class of impulsive gravitational waves which propagate either in Minkowski or in the (anti-)de Sitter background. These waves are constructed as impulsive members of the Kundt class $P(\Lambda)$ of non-twisting,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky

Primordial Gravitational Waves, i.e. a background of metric perturbations sourced by the quantum inflationary fluctuations, if measured, could both provide a substantial evidence for primordial inflation and shed light on physics at…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-28 William Giarè , Fabrizio Renzi

A gravity theory is developed with the metric ${\hat g}_{\mu\nu}= {g}_{\mu\nu}+B\partial_\mu\phi\partial_\nu\phi$. In the present universe the additional contribution from the scalar field in the metric ${\hat g}_{\mu\nu}$ can generate an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. A. Clayton , J. W. Moffat

We consider the effect of radiative corrections on the maximum velocity of propagation of neutral scalar fields in a uniform electromagnetic field. The propagator of neutral scalar fields interacting with charged fields depends on the…

High Energy Physics - Phenomenology · Physics 2013-01-07 Noburo Shiba

Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a `cut and paste' method. These solutions are presented using a unified approach which covers the cases of de Sitter,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , J. B. Griffiths

Gravitational waves travel through the distributions of matter and dark energy during propagation. For this reason, gravitational waves emitted from binary compact objects serve as a useful tool especially to probe the nature of dark…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Shinji Mukohyama

We obtain global space-time weighted-L^2 (Morawetz) and L^4 (Strichartz) estimates for a massless chargeless scalar field propagating on a super-extremal (overcharged) Reissner-Nordstrom background. We begin by discussing the question of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 John G. Stalker , A. Shadi Tahvildar-Zadeh

We investigate the propagation of scalar waves induced by matter sources in the context of scalar-tensor theories of gravity which include screening mechanisms for the scalar degree of freedom. The usual approach when studying these…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Jan Ø. Lindroos , Claudio Llinares , David F. Mota

The propagator of a scalar field on a stationary slowly varying in space gravitational background is derived retaining only the second derivatives of the metric. The corresponding one-loop effective action is constructed. The propagator and…

General Relativity and Quantum Cosmology · Physics 2013-03-13 P. O. Kazinski

We establish in this article spreading properties for the solutions of equations of the type $\partial$ t u -- a(x)$\partial$ xx u -- q(x)$\partial$ x u = f (x, u), where a, q, f are only assumed to be uniformly continuous and bounded in x,…

Analysis of PDEs · Mathematics 2016-03-02 Henri Berestycki , Grégoire Nadin

By using observations of the Hulse-Taylor pulsar we constrain the gravitational wave (GW) speed to the level of $10^{-2}$. We apply this result to scalar-tensor theories that generalize Galileon 4 and 5 models, which display anomalous…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Jose Beltran Jimenez , Federico Piazza , Hermano Velten

The recent detection of the gravitational wave signal GW170817 together with an electromagnetic counterpart GRB 170817A from the merger of two neutron stars puts a stringent bound on the tensor propagation speed. This constraint can be…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Lavinia Heisenberg , Shinji Tsujikawa

In dark-energy models where a scalar field is nonminimally coupled to the spacetime geometry, gravitational waves are expected to be supplemented with a scalar mode. Such scalar waves may interact with the standard tensor waves, thereby…

General Relativity and Quantum Cosmology · Physics 2022-05-12 Charles Dalang , Pierre Fleury , Lucas Lombriser

Effective Field Theory techniques are used to study the leading order quantum corrections to the gravitational wave backreaction. The effective stress-energy tensor is calculated and it is shown that it has a non-vanishing trace that…

General Relativity and Quantum Cosmology · Physics 2018-01-03 Iberê Kuntz

The effective field theory of dark energy and modified gravity is supposed to well describe, at low energies, the behaviour of the gravity modifications due to one extra scalar degree of freedom. The usual curvature perturbation is very…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bounded domain in $\mathbb{R}^d$. The nonlocal operator we…

Analysis of PDEs · Mathematics 2025-05-20 Nicola De Nitti , Stefano Lisini , Antonio Segatti , Roman Taranets

The Schwinger-Dyson equation for a scalar propagator is solved in Minkowski space with the help of an integral spectral representation, both for spacelike and timelike momenta. The equation is re-written into a form suitable for numerical…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Sauli , J. Adam

We consider the Hamiltonian system of scalar wave field and a single nonrelativistic particle coupled in a translation invariant manner. The particle is also subject to a confining external potential. The stationary solutions of the system…

Mathematical Physics · Physics 2016-11-11 A. Komech , E. Kopylova , H. Spohn