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Draining vortices with a free surface are frequently employed as rotating black hole simulators, both in theory and experiments. However, most theoretical work is restricted to the idealised regime, where wave dispersion and dissipation are…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Sam Patrick , Theo Torres

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

Vortices and black holes set the scene for many interesting dynamical processes in physics. Here, we study the dynamical instability of quantised vortices and rotational superradiance around rotating black holes, illustrating in the process…

Quantum vortices with more than a single circulation quantum are usually unstable and decay into clusters of smaller vortices. One way to prevent the decay is to place the vortex at the centre of a convergent (draining) fluid flow, which…

Quantum Gases · Physics 2024-03-12 Sam Patrick

We present an analysis of scattering by a fluid-mechanical `black hole analogue', known as the draining bathtub vortex: a two-dimensional flow which possesses both a sonic horizon and an ergoregion. We consider the scattering of a plane…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Sam R. Dolan , Ednilton S. Oliveira

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

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

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

Small deviations in the spacetime around black holes can lead to instabilities in the underlying quasinormal mode spectrum, potentially altering the hierarchy of its overtones. A practical way to induce such spectral instability is by…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Mateus Malato Corrêa , Caio F. B. Macedo , Rodrigo Panosso Macedo , Leandro A. Oliveira

In the linear approximation we study long wave scattering on an axially symmetric flow in a shallow water basin with a drain in the center. This classical problem can be considered as a model of wave scattering on a rotating black hole. For…

Fluid Dynamics · Physics 2019-05-15 Semyon Churilov , Yury Stepanyants

We argue that black holes admit vortex structure. This is based both on a graviton-condensate description of a black hole as well as on a correspondence between black holes and generic objects with maximal entropy compatible with unitarity,…

High Energy Physics - Theory · Physics 2023-05-04 Gia Dvali , Florian Kuhnel , Michael Zantedeschi

By solving a nonlinear Klein-Gordon equation in Kerr geometry, we uncover new phenomena and key characteristics of quantized vortices in quantum fluids near a Kerr black hole. The formation of these vortices induces rotational or turbulent…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Shilong Jin , Xiaofei Zhao , Yong Zhang , Chi Xiong

Analog gravity experiments are making remarkable strides in unveiling both the classical and quantum nature of black holes. By harnessing diverse states of matter, contemporary tabletop setups now replicate strong-field phenomena typically…

General Relativity and Quantum Cosmology · Physics 2025-09-30 H. S. Vieira , Kyriakos Destounis

In general relativity, the interaction between a black hole and the fields around it (a process known as backreaction) proceeds via the evolution of the black holes mass and angular momentum. Analogue models of gravity, particularly fluid…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Sam Patrick , Harry Goodhew , Cisco Gooding , Silke Weinfurtner

Quasinormal modes are a set of damped resonances that describe how an excited open system is driven back to equilibrium. In gravitational physics these modes characterise the ringdown of a perturbed black hole, e.g. following a binary black…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Sam Patrick , Antonin Coutant , Mauricio Richartz , Silke Weinfurtner

In this paper, we consider the finite-time blowup of hollow vortices. These are solutions of the two-dimensional Euler equations for which the fluid domain is the complement of finitely many Jordan curves $\Gamma_1, \ldots, \Gamma_M$, and…

Analysis of PDEs · Mathematics 2025-06-05 Robin Ming Chen , Samuel Walsh , Miles H. Wheeler

Galaxies and their dark-matter halos are commonly presupposed to spin. But it is an open question how this spin manifests in halos and soliton cores made of scalar dark matter (SDM, including fuzzy/wave/ultralight-axion dark matter). One…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-14 Noah Glennon , Anthony E. Mirasola , Nathan Musoke , Mark C. Neyrinck , Chanda Prescod-Weinstein

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

Using the analogy between a shrinking fluid vortex (`draining bathtub'), modelled as a (2+1) dimensional fluid flow with a sink at the origin, and a rotating (2+1) dimensional black hole with an ergosphere, it is shown that a scalar sound…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Soumen Basak , Parthasarathi Majumdar

We investigate the effect of inertial particles dispersed in a circular patch of finite radius on the stability of a two-dimensional Rankine vortex in semi-dilute dusty flows. Unlike the particle-free case where no unstable modes exist, we…

Fluid Dynamics · Physics 2022-10-05 Shuai Shuai , Darish Jeswin Dhas , Anubhab Roy , M. Houssem Kasbaoui
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