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Fluid analog models for gravity are based on the idea that any spacetime geometry admits a reinterpretation in which space is thought of as a fluid flowing with a prescribed velocity. This fluid picture is a restatement of the ADM…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Pablo Garza , Daniel Kabat , Ariana van Gelder

The gravity water wave black (GWBH) hole analog discovered by Schutzhold and Unruh (SU) is extended to allow for the presence of turbulent shear flow. The Riemannian geometry of turbulent black holes (BH) analogs in water waves is computed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

Optical field fluctuations in self-defocusing media can be described in terms of sound waves in a 2D photon-fluid. It is shown that, while the background fluid couples with the usual flat metric, sound-like waves experience an effective…

General Relativity and Quantum Cosmology · Physics 2008-12-03 Francesco Marino

We report on what is to our knowledge the first scattering experiment of surface waves on an accelerating transcritical flow, which in the Analogue Gravity context is described by an effective spacetime with a black-hole horizon. This…

General Relativity and Quantum Cosmology · Physics 2020-04-09 Léo-Paul Euvé , Scott Robertson , Nicolas James , Alessandro Fabbri , Germain Rousseaux

Analogue gravity studies the physics of curved spacetime in laboratory experiments, where the propagation of elementary excitations in inhomogeneous flows is mapped to those of scalar fields in a curved spacetime metric. While most analogue…

The recent technological advances in controlling and manipulating fluids have enabled the experimental realization of acoustic analogues of gravitational black holes. A flowing fluid provides an effective curved spacetime on which sound…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Samuel L. Braunstein , Mir Faizal , Lawrence M. Krauss , Francesco Marino , Naveed A. Shah

We search for acoustic analogues of a spherical symmetric black hole with a pointlike source. We show that the gravitational system has a dynamical counterpart in the constrained, steady motion of a fluid with a planar source. The equations…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mariano Cadoni , Salvatore Mignemi

Effective field theory descriptions of surface waves on flowing fluids have tended to assume that the flow is irrotational, but this assumption is often impractical due to boundary layer friction and flow recirculation. Here we develop an…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alessia Biondi , Scott Robertson , Germain Rousseaux

In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual…

High Energy Physics - Theory · Physics 2015-06-15 Xiaoning Wu , Yi Ling , Yu Tian , Chengyong Zhang

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Mauricio Richartz , Angus Prain , Stefano Liberati , Silke Weinfurtner

We analyze the steady radial accretion of matter into a nonrotating black hole. Neglecting the self-gravity of the accreting matter, we consider a rather general class of static, spherically symmetric and asymptotically flat background…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Eliana Chaverra , Olivier Sarbach

We show that the classification of shearless and incompressible stationary fluid flows on ultrastatic manifolds is equivalent to classifying the isometries of the spatial sections. For a flow on R x S$^2$ this leaves only one possibility,…

High Energy Physics - Theory · Physics 2015-06-19 Dietmar Klemm , Andrea Maiorana

Recent researches suggest an analogy between the theory of general relativity (GR) and fluid dynamics. As a result of this analogy, the Navier-Stokes equations and Einstein field equations are the same, and it is possible to study the…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Behzad Ataei , Ali Ayatollah Rafsanjani , Alireza Bahrampour , Mohammad Taeibi Rahni , Mohammadreza Salimi , Mehdi Golshani

This paper is a study of the water wave problem in a two-dimensional domain of infinite depth in the presence of nonzero constant vorticity. A goal is to describe the effects of uniform shear flow on the modulation of weakly nonlinear…

Analysis of PDEs · Mathematics 2022-10-19 Philippe Guyenne , Adilbek Kairzhan , Catherine Sulem

We numerically study water wave packets on a spatially varying counter-current in the presence of surface tension. Depending on the details of the velocity profile, we show that traversable and bi-directional analogue wormholes exist in…

Fluid Dynamics · Physics 2016-04-27 Cédric Peloquin , Léo-Paul Euvé , Thomas Philbin , Germain Rousseaux

Recent advances in the observation of black-hole candidates have renewed interest in probing their near-horizon structure and in searching for departures from the standard singular solutions of general relativity. In this context,…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Valentin Pomakov , Stefano Liberati

The curved geometry of a spacetime manifold arises as a solution of Einstein's gravitational field equation. We show that the metric of a spherically symmetric gravitational field configuration can be viewed as an optical metric created by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yuri N. Obukhov

For both extremal and non-extremal spherically symmetric black holes in theories with massless scalars and vectors coupled to gravity, we derive a general form of first-order gradient flow equations, equivalent to the equations of motion.…

High Energy Physics - Theory · Physics 2009-06-08 Jan Perz , Paul Smyth , Thomas Van Riet , Bert Vercnocke

We identify a condition on spacelike 2-surfaces in a spacetime that is relevant to understanding the concept of mass in general relativity. We prove a formula for the variation of the spacetime Hawking mass under a uniformly area expanding…

Differential Geometry · Mathematics 2016-05-30 Hubert L. Bray , Jeffrey L. Jauregui

It is demonstrated that gravity waves of a flowing fluid in a shallow basin can be used to simulate phenomena around black holes in the laboratory. Since the speed of the gravity waves as well as their high-wavenumber dispersion (subluminal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ralf Schützhold , William G. Unruh
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