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Acoustic analogs of static, spherically symmetric massive traversable Lorentzian wormholes are constructed as a {\em formal} extension of acoustic black holes. The method is straightforward but the idea is interesting in itself. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kamal Kanti Nandi , Yuan-Zhong Zhang , Rong-Gen Cai

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

The gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large. In this limit, we can effectively replace the black hole with a surface in a background geometry (eg Minkowski or…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Tetsuya Shiromizu , Ryotaku Suzuki , Kentaro Tanabe , Takahiro Tanaka

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 numerically investigate the dynamics near black hole formation of solutions to the Einstein--Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the $(2+1)+1$ formulation of…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Ellery Ames , Håkan Andréasson , Oliver Rinne

We study the conditions under which an analog acoustic geometry of a relativistic fluid in flat spacetime can take the same form as the Schwarzschild black hole geometry. We find that the speed of sound must necessarily be equal to the…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Neven Bilić , Hrvoje Nikolić

The analogy between sound wave propagation and light waves led to the study of acoustic holes, the acoustic analogues of black holes. Many black hole features have their counterparts in acoustic holes. The Kerr metric, the rotating metric…

General Relativity and Quantum Cosmology · Physics 2013-12-31 José P. S. Lemos

The generation and evolution of magnetic fields in the plasma accreting into a rotating black hole is studied in the 3+1 split of the Kerr metric. Attention is focused on effects of the gravitomagnetic potential. The gravitomagnetic force…

Astrophysics · Physics 2007-05-23 Ramon Khanna

Motivated by the need to conceive freely-precessing gyroscopes for detecting acoustic frame-dragging predicted recently in rotating acoustic analogue black holes, we report an incipient investigation on the hydrodynamics of nematic active…

General Relativity and Quantum Cosmology · Physics 2018-08-14 Amitava Banerjee , Ratna Koley , Parthasarathi Majumdar

In previous work, black hole vortex solutions in Einstein gravity with AdS$_3$ background were found where the scalar matter profile had a singularity at the origin $r=0$. In this paper, we find numerically static vortex solutions where the…

High Energy Physics - Theory · Physics 2021-02-11 Ariel Edery

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

Transonic accretion onto astrophysical objects is a unique example of analogue black hole realized in nature. In the framework of acoustic geometry we study axially symmetric accretion and wind of a rotating astrophysical black hole or of a…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Hrvoje Abraham , Neven Bilic , Tapas K. Das

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

Time evolution of a black hole lattice universe is simulated. The vacuum Einstein equations in a cubic box with a black hole at the origin are numerically solved with periodic boundary conditions on all pairs of opposite faces. Defining…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Chul-Moon Yoo , Hirotada Okawa , Ken-ichi Nakao

We review the Analogue Gravity description of a unidirectional water wave system, assuming no prior knowledge of General Relativity or differential geometry. In so doing, we generalize established results concerning an effective curved…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Alessia Biondi , Scott Robertson , Germain Rousseaux

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

Acoustic black holes are fluid dynamic analogs of general relativistic black holes, wherein the behaviour of sound waves in a moving fluid acts as an analog for scalar fields propagating in a gravitational background. Acoustic horizons…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefano Liberati , Sebastiano Sonego , Matt Visser

We study the energy-momentum tensor of a dark matter (DM) spike formed during the adiabatic growth of a black hole embedded in a DM halo, and investigate its backreaction on the spacetime geometry. Within the Einstein cluster framework, we…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Wei Xiong , Peng-Cheng Li

This work studies the effectiveness of acoustic black holes to generate broadband non-reflective traveling waves using a single excitation source. This is inspired by similar observations in the basilar membrane of the mammalian inner ear.…

Dynamical Systems · Mathematics 2025-11-04 Amirhossein Omidi Soroor , Skriptyan N. H. Syuhri , Sourabh Sangle , Pablo A. Tarazaga

We explore use of the harmonic Einstein equations to numerically find stationary black holes where the problem is posed on an ingoing slice that extends into the interior of the black hole. Requiring no boundary conditions at the horizon…

High Energy Physics - Theory · Physics 2013-05-01 Pau Figueras , Toby Wiseman