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We report an analytical example of the gravitational wave memory effect in exact plane wave spacetimes. A square pulse profile is chosen which gives rise to a curved wave region sandwiched between two flat Minkowski spacetimes. Working in…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Indranil Chakraborty , Sayan Kar

We present evidence of Kelvin excitations in space-time resolved spectra of numerical simulations of quantum turbulence. Kelvin waves are transverse and circularly polarized waves that propagate along quantized vortices, for which the…

Fluid Dynamics · Physics 2016-01-06 Patricio Clark di Leoni , Pablo D. Mininni , Marc E. Brachet

Self-phase modulation of spherical gravitational wavepackets propagating in a flat space-time in the presence of a tenuous distribution of matter is considered. Analogies with respect to similar effects in nonlinear optics are explored.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. T. Mendonca , V. Cardoso , M. Marklund , M. Servin , G. Brodin

The laws of geometric optics and their corrections are derived for scalar, electromagnetic, and gravitational waves propagating in generic curved spacetimes. Local peeling-type results are obtained, where different components of…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Abraham I. Harte

The effect of vacuum polarization on the propagation of photons in curved spacetime is studied in scalar QED. A compact formula is given for the full frequency dependence of the refractive index for any background in terms of the Van…

High Energy Physics - Theory · Physics 2011-11-11 Timothy J. Hollowood , Graham M. Shore

The propagation of a localized wave packet in the conical space-time created by a pointlike massive source in 2+1 dimensional gravity is analyzed. The scattering amplitude is determined and shown to be finite along the classical scattering…

High Energy Physics - Theory · Physics 2009-10-28 M. Alvarez , F. M. de Carvalho Filho , L. Griguolo

Quantum computers are ideally set up to solve linear systems which are of a form similar to the Schrodinger/Dirac equation of quantum mechanics. In the framework of linear response theory, the propagation and scattering of electromagnetic…

This is a review of the dynamics of wave propagation through a disordered N-mode waveguide in the localized regime. The basic quantities considered are the Wigner-Smith and single-mode delay times, plus the time-dependent power spectrum of…

Disordered Systems and Neural Networks · Physics 2013-04-08 C. W. J. Beenakker

We study one of the interesting properties of the electromagnetic wave propagation in the curved Schwarzschild background spacetime in the framework of general relativity (GR). The electromagnetic wave equation has been derived from vacuum…

General Relativity and Quantum Cosmology · Physics 2023-06-23 Bobur Turimov , Igor Smolyaninov

The effects of the de Broglie-Bohm quantum potential on a test particle of mass $m$ are investigated in a conformally-flat geometry. A real, nonlinear, scalar field $\Psi$ is introduced and related directly to the conformal factor and to…

General Physics · Physics 2019-11-22 Hristu Culetu

We investigate motion of test particles in exact spacetimes with an expanding impulsive gravitational wave which propagates in Minkowski, de Sitter or anti-de Sitter universe. Using the continuous form of these metrics we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Jiri Podolsky , Robert Svarc

We have previously presented a version of the Weak Equivalence Principle for a quantum particle as an exact analog of the classical case, based on the Heisenberg picture analysis of free particle motion. Here, we take that to a full…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Otto C. W. Kong

Numerical simulations of the unidirectional random waves are performed within the Korteweg -de Vries equation to investigate the statistical properties of surface gravity waves in shallow water. Nonlinear evolution shows the relaxation of…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Anna Kokorina , Efim Pelinovsky

We show that by employing the standard projected curvature as a measure of spatial curvature, we can make a certain generalization of optical geometry (Abramowicz and Lasota 1997, Class. Quantum Grav. 14 (1997) A23). This generalization…

General Relativity and Quantum Cosmology · Physics 2007-08-21 Rickard Jonsson , Hans Westman

While many intermediate- and high-mass main sequence stars are rapidly and differentially rotating, the effects of rotation on oscillation modes are poorly known. In this communication we present a first study of axisymmetric…

Solar and Stellar Astrophysics · Physics 2014-11-14 Giovanni M. Mirouh , Clément Baruteau , Michel Rieutord , Jérôme Ballot

We develop a non-linear distributional renormalisation algebra for Gaussian Quantum Foam, built from sequences of scaled Gaussians on spacelike hypersurfaces of homotopic, globally hyperbolic spacetimes and their distributional limits. The…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Claes Cramer

We describe a natural inhomogeneous generalization of high frequency plane gravitational waves. The waves are high frequency waves of the Kundt type whose null propagation direction in space-time has vanishing expansion, twist and shear but…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Barrabes , P. A. Hogan

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

In the present work we theoretically analyze the effect of the Fermi surface local geometry on quantum oscillations in the velocity of an acoustic wave travelling in metal across a strong magnetic field. We show that local flattenings of…

Materials Science · Physics 2007-05-23 Natalya A. Zimbovskaya

This paper considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. We prove the existence of a global continuum of classical solutions that are periodic…

Analysis of PDEs · Mathematics 2009-02-11 Samuel Walsh