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We consider the scattering of a low-frequency gravitational wave by a massive compact body in vacuum. We apply partial-wave methods to compute amplitudes for the helicity-conserving and helicity-reversing contributions to the cross section,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

Transcritical flows in free surface hydrodynamics emulate black hole horizons and their timereversed versions known as white fountains. Both analogue horizons have been shown to emit Hawking radiation, the amplification of waves via…

The stability of an exponential current in water to infinitesimal perturbations in the presence of gravity and capillarity is investigated. Some new results on the generation of gravity-capillary waves are presented which supplement the…

Fluid Dynamics · Physics 2023-05-23 Malek Abid , Christian Kharif

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

Topological wave structures -- phase vortices, skyrmions, merons, etc. -- are attracting enormous attention in a variety of quantum and classical wave fields. Surprisingly, these structures have never been properly explored in the most…

Fluid Dynamics · Physics 2024-03-11 Daria A. Smirnova , Franco Nori , Konstantin Y. Bliokh

In geophysical environments, wave motions that are shaped by the action of gravity and global rotation bear the name of gravito-inertial waves. We present a geometrical description of gravito-inertial surface waves, which are low-frequency…

Analysis of PDEs · Mathematics 2026-04-21 Yves Colin de Verdière , Jérémie Vidal

A definition of surface gravity at the apparent horizon of dynamical spherically symmetric spacetimes is proposed. It is based on a unique foliation by ingoing null hypersurfaces. The function parametrizing the hypersurfaces can be…

General Relativity and Quantum Cosmology · Physics 2011-09-09 G. Fodor , K. Nakamura , Y. Oshiro , A. Tomimatsu

Equations relating the pressure at a horizontal seabed, the free-surface profile and the surface-pressure are derived for two-dimensional irrotational steady water waves with arbitrary pressure at the free surface. Special cases include…

Fluid Dynamics · Physics 2023-11-01 Didier Clamond , Joris Labarbe

In this paper we construct small amplitude periodic internal waves traveling at the boundary region between two rotational and homogeneous fluids with different densities. Within a period, the waves we obtain have the property that the…

Analysis of PDEs · Mathematics 2012-02-15 Anca-Voichita Matioc

Quantum fields in curved spacetime exhibit a wealth of effects like Hawking radiation from black holes. While quantum field theory in black holes can only be studied theoretically, it can be tested in controlled laboratory experiments. In…

Gravitational waves open the possibility to investigate the nature of compact objects and probe the horizons of black holes. Some models of modified gravity predict the presence of horizonless and singularity-free compact objects. Such dark…

General Relativity and Quantum Cosmology · Physics 2023-10-12 Elisa Maggio

We have previously discussed the characteristics of the gravitational waves (GW) and have, theoretically, shown that, like the corresponding electromagnetic (EM) waves, they also demonstrate, under certain conditions, holographic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Bar

The surface gravity of any Killing horizon, in any spacetime dimension, can be interpreted as a local, two-dimensional expansion rate seen by freely falling observers when they cross the horizon. Any two-dimensional congruence of geodesics…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ted Jacobson , Renaud Parentani

Continuous gravitational waves are analogous to monochromatic light and therefore could be used to detect wave effects like interference or diffraction. This would be possible with strongly lensed gravitational waves. This article reviews…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Marek Biesiada , Sreekanth Harikumar

This is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

Propagation of weak gravitational waves, when a dynamical four-form is around, has been investigated. Exact, self-consistent solutions corresponding to plane, monochromatic gravitational waves have been studied.

General Relativity and Quantum Cosmology · Physics 2012-03-28 Patrick Das Gupta

A Hamiltonian model for the propagation of internal water waves interacting with surface waves, a current and an uneven bottom is examined. Using the so-called Dirichlet-Neumann operators, the water wave system is expressed in the…

Fluid Dynamics · Physics 2022-11-09 Lili Fan , Ruonan Liu , Hongjun Gao

The physics at the event horizon resembles the behavior of waves in moving media. Horizons are formed where the local speed of the medium exceeds the wave velocity. We use ultrashort pulses in microstructured optical fibers to demonstrate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas G. Philbin , Chris Kuklewicz , Scott Robertson , Stephen Hill , Friedrich Konig , Ulf Leonhardt

Motivated by capturing putative quantum effects at the horizon scale, we model the black hole horizon as a membrane with fluctuations following a Gaussian profile. By extending the membrane paradigm at the semiclassical level, we show that…

General Relativity and Quantum Cosmology · Physics 2022-07-25 Sumanta Chakraborty , Elisa Maggio , Anupam Mazumdar , Paolo Pani

We study the propagation of surface waves on a current in the presence of an electromagnetic field. A horizontal (vertical) field strengthens (weakens) the counter-current which blocks the waves. We compute the phase space diagrams…

Fluid Dynamics · Physics 2010-10-12 Germain Rousseaux , Philippe Maïssa