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Related papers: Black hole analogues in two-dimensional flows with…

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We prove that symmetric, doubly periodic, capillary-gravity water waves in finite depth bifurcating from non-uniform non-stagnant shear flows are necessarily two-dimensional to leading order. This is in stark contrast to the case of uniform…

Analysis of PDEs · Mathematics 2025-04-30 Douglas Svensson Seth , Kristoffer Varholm , Erik Wahlén , Jörg Weber

The equations for waves on the surface of an irrotational incompressible fluid are derived in the coordinates of the velocity potential/stream function. The low frequency shallow water approximation for these waves is derived for a varying…

General Relativity and Quantum Cosmology · Physics 2015-06-05 W. G. Unruh

Interesting analogies between shallow water dynamics and astrophysical phenomena have offered valuable insight from both the theoretical and experimental point of view. To help organize these efforts, here we analyze systematically the…

Fluid Dynamics · Physics 2021-05-19 Amilcare Porporato , Luca Ridolfi , Lamberto Rondoni

We address an interesting question in the present paper that whether the acoustic gravity can be applied as a tool to the study of regular black holes. For this purpose, we construct a general acoustic regular black hole in the spherically…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Chen Lan , Yan-Gang Miao , Yi-Xiong Zang

In this paper, we propose a new Analogue Gravity example - a spinning (or Kerr) Black Hole in an extended fluid model. The fluid model receives Berry curvature contributions and applies to electron dynamics in Condensed Matter lattice…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Surojit Dalui , Arpan Krishna Mitra , Deeshani Mitra , Subir Ghosh

Gravity simulators are laboratory systems where small excitations like sound or surface waves behave as fields propagating on a curved spacetime geometry. The analogy between gravity and fluids requires vanishing viscosity, a feature…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Patrik Švančara , Pietro Smaniotto , Leonardo Solidoro , James F. MacDonald , Sam Patrick , Ruth Gregory , Carlo F. Barenghi , Silke Weinfurtner

We develop an analytical formalism for studying optical analogues of spherically symmetric black-hole spacetimes. We demonstrate the exact similarity between the electromagnetic wave equations in an inhomogeneous medium in flat spacetime…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Suraj S. Hegde , C. V. Vishveshwara

We present analogue models for the Schwarzschild and Reissner-Nordstr\"om (RN) spacetimes based on unidirectional hydrodynamic flows. We show that, with appropriate coordinate transformations, sound waves in a moving fluid propagate as…

General Relativity and Quantum Cosmology · Physics 2021-07-20 Christyan C. de Oliveira , Ricardo A. Mosna , João Paulo M. Pitelli , Maurício Richartz

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

We investigate the existence of supersymmetric static dyonic black holes with spherical horizon in the context of N= 2 U(1) gauged supergravity in four dimensions. We analyze the conditions for their existence and provide the general…

High Energy Physics - Theory · Physics 2011-03-18 Gianguido Dall'Agata , Alessandra Gnecchi

Analogical thinking is a valuable tool in theoretical physics, since it allows us to take the understanding we have developed in one system and apply it to another. In this thesis, we study the analogy between two seemingly unlikely…

General Relativity and Quantum Cosmology · Physics 2020-09-07 Sam Patrick

We present a black hole effect by strategically leveraging a conformal mapping in elastic continuum with curved-space framework, which is less stringent compared to a Schwarzschild model transformed to isotropic refractive index profiles.…

Classical Physics · Physics 2022-11-15 Dongwoo Lee , Yiran Hao , Jeonghoon Park , Yaxi Shen , Jensen Li , Junsuk Rho

We study the dynamics of a 2+1 dimensional relativistic viscous conformal fluid in Minkowski spacetime. Such fluid solutions arise as duals, under the "gravity/fluid correspondence", to 3+1 dimensional asymptotically anti-de Sitter (AAdS)…

High Energy Physics - Theory · Physics 2014-01-15 Stephen R. Green , Federico Carrasco , Luis Lehner

Analogue gravity models describe linear fluctuations of fluids as a massless scalar field propagating on stationary acoustic spacetimes constructed from the background flow. In this paper, we establish that this paradigm generalizes to…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Karan Fernandes , Susovan Maity , Tapas K. Das

Wave scattering phenomena are ubiquitous in almost all Sciences, from Biology to Physics. Interestingly, it has been shown many times that different physical systems are the stage to the same processes. The discoveries of such analogies…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Theo Torres

We develop and significantly generalize the effective worldvolume theory for higher-dimensional black holes recently proposed by the authors. The theory, which regards the black hole as a black brane curved into a submanifold of a…

High Energy Physics - Theory · Physics 2014-11-20 Roberto Emparan , Troels Harmark , Vasilis Niarchos , Niels A. Obers

Under certain conditions sound waves in fluids experience an acoustic horizon with analogue properties to those of a black hole event horizon. In particular, a draining bathtub-like model can give rise to a rotating acoustic horizon and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Carolina L. Benone , Luis C. B. Crispino , Carlos Herdeiro , Eugen Radu

We present a general method for constructing acoustic analogs of the black hole solutions of two-dimensional (2D) dilaton gravity. Because by dimensional reduction every spherically symmetric, four-dimensional (4D) black hole admits a 2D…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Mariano Cadoni

Gravitational waves are rapidly becoming a very reliable tool for testing alternative theories of gravity. In particular, features in the gravitational wave emission during black hole ringdown phase provide a direct probe of the spacetime…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ruifeng Dong , Dejan Stojkovic

Accelerating/decelerating trans-critical flows (waterfalls/cataracts) are analogous to space-times of black holes/white fountains since the pioneering work of Sch{\"u}tzhold \& Unruh in 2002. A single number is usually employed to…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Alexis Bossard , Nicolas James , Valentin Jules , Johan Fourdrinoy , Scott Robertson , Germain Rousseaux