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The propagation and non-linear interactions of magnetohydrodynamic waves are considered in the force-free limit, where the inertia of the conducting matter which enforces the MHD condition E.B = 0 can be neglected in comparison with the…

Astrophysics · Physics 2009-11-13 Parker Troischt , Christopher Thompson

We will consider the high frequency behaviour of distorted plane waves on manifolds of nonpositive curvature which are Euclidean or hyperbolic near infinity, under the assumption that the curvature is negative close to the trapped set of…

Mathematical Physics · Physics 2016-12-06 Maxime Ingremeau

Black holes and gravitational waves are consequences of the nonlinear character of the Einstein equations. Yet, the remarkable properties of General Relativity point to the existence of other effects. Here we uncover new nonlinear facets of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Vitor Cardoso , Jaime Redondo-Yuste , Ulrich Sperhake , Furkan Tuncer

Black holes in core-collapse of massive stars are expected to surge in mass and angular momentum by hyper-accretion immediately following their formation. We here describe a general framework of extended emission in gravitational waves from…

High Energy Astrophysical Phenomena · Physics 2015-10-21 Amir Levinson , Maurice H. P. M. van Putten , Guy Pick

We study the scattering of surface water waves with irrotational draining vortices. At small depth, this system is a mathematical analogue of a rotating black hole and can be used to mimic some of its peculiar phenomenon. Using ray-tracing…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Theo Torres , Antonin Coutant , Sam Dolan , Silke Weinfurtner

A distorted black hole radiates gravitational waves in order to settle down in a smoother geometry. During that relaxation phase, a characteristic damped ringing is generated. It can be theoretically constructed from both the black hole…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Yves Décanini , Antoine Folacci , Mohamed Ould El Hadj

If an early matter phase of the Universe existed after inflation with the proper power spectrum, enhanced density perturbations can decouple from the Hubble flow, turn around and collapse. In contrast to what happens in a radiation…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-25 Ioannis Dalianis , Chris Kouvaris

We study gravitational absorption effects using effective on-shell scattering amplitudes. We develop an in-in probability-based framework involving plane- and partial-wave coherent states for the incoming wave to describe the interaction of…

High Energy Physics - Theory · Physics 2023-12-14 Rafael Aoude , Alexander Ochirov

In this work, we introduce a novel framework to investigate ringdown gravitational waveforms in the presence of dynamical matter fields outside the horizon of a black hole. We systematically analyze two distinct scenarios of dynamical…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Ying-Lei Tian , Hao Yang , Chen Lan , Yan-Gang Miao

We consider the vibrations and waves in the atmosphere under the gravitation on the flat earth. The stratified density distribution of the back ground equilibrium is supposed to touch the vacuum at the finite height of the stratosphere. We…

Analysis of PDEs · Mathematics 2020-02-25 Tetu Makino

An experimental study is reported of the near-critical reflection of internal gravity waves over sloping topography in a stratified fluid. An overturning instability close to the slope and triggering the boundary-mixing process is observed…

Fluid Dynamics · Physics 2007-05-23 Thierry Dauxois , Anthony Didier , Eric Falcon

We have numerically investigated close scattering processes of two black holes (BHs). Our careful analysis shows for the first time a non-merging ringdown gravitational wave coming from dynamical tidal deformations of individual BHs during…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Yeong-Bok Bae , Young-Hwan Hyun , Gungwon Kang

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

We study the interaction of gravity waves on the surface of an infinitely deep ideal fluid. Starting from Zakharov's variational formulation for water waves we derive an expansion of the Hamiltonian to an arbitrary order, in a manner that…

Fluid Dynamics · Physics 2019-03-27 Nail S. Ussembayev

We present a study of scattering of massless planar scalar waves by a charged non-rotating black hole. Partial wave methods are applied to compute scattering and absorption cross sections, for a range of incident wavelengths. We compare our…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Luis C. B. Crispino , Sam R. Dolan , Ednilton S. Oliveira

We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat, a sharp criterion of linear instability is established for…

Analysis of PDEs · Mathematics 2007-11-28 Vera Mikyoung Hur , Zhiwu Lin

The last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

Fluid Dynamics · Physics 2021-07-09 Eric Falcon , Nicolas Mordant

We experimentally study gravity-capillary wave turbulence on the interface between two immiscible fluids of close density with free upper surface. We locally measure the wave height at the interface between both fluids by means of a highly…

Fluid Dynamics · Physics 2017-03-08 Bruno Issenmann , Claude Laroche , Eric Falcon

Black holes are the most compact objects in the Universe. According to general relativity, black holes have a horizon that hides a singularity where Einstein's theory breaks down. Recently, gravitational waves opened the possibility to…

General Relativity and Quantum Cosmology · Physics 2022-12-01 Elisa Maggio

We study the propagation of low frequency shallow water waves on a one dimensional flow of varying depth. When taking into account dispersive effects, the linear propagation of long wavelength modes on uneven bottoms excites new solutions…

General Relativity and Quantum Cosmology · Physics 2017-11-30 Antonin Coutant , Silke Weinfurtner