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For a thin shell, the intrinsic 3-pressure will be shown to be analogous to -A, where A is the classical surface tension: First, interior and exterior Schwarzschild solutions will be matched together such that the surface layer generated at…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. -J. Schmidt

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

The horizon and geodesic structure of static configurations generated by anisotropic conformal transforms of the Schwarzschild metric is analyzed. We construct the maximal analytic extension of such off--diagonal vacuum metrics and conclude…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergiu Vacaru , D. E. Goksel

Recent experiments showed that standing acoustic waves could be exploited to induce self-propulsion of rigid metallic particles in the direction perpendicular to the acoustic wave. We propose in this paper a physical mechanism for these…

Fluid Dynamics · Physics 2014-10-29 Francois Nadal , Eric Lauga

Analog models of black holes have unequivocally proven to be extremely beneficial in providing critical information regarding black hole spectroscopy, superradiance, quantum phenomena and most importantly Hawking radiation and black hole…

General Relativity and Quantum Cosmology · Physics 2023-05-16 H. S. Vieira , Kyriakos Destounis , Kostas D. Kokkotas

Geometry of the fluid container plays a key role in the shape of acoustic streaming patterns. Inadvertent vortices can be troublesome in some cases, but if treated properly, the problem turns into a very useful parameter in acoustic…

Fluid Dynamics · Physics 2019-09-10 Elnaz Attar Jannesar , Hossein Hamzehpour

The concept of acoustic metric introduced previously by Unruh (PRL-1981) is extended to include Cartan torsion by analogy with the scalar wave equation in Riemann-Cartan (RC) spacetime. This equation describes irrotational perturbations in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 L. C. Garcia de Andrade

We consider deformation of the d+2 dimensional asymptotically flat Schwarzschild black hole spacetime with the induced metric on a d-sphere at $r=r_c$ held fixed. This is done without taking the near horizon limit. The deformation is…

High Energy Physics - Theory · Physics 2011-09-13 Ryuichi Nakayama

In a very recent paper, we computed the quasibound states of massless acoustic excitations interacting with a new (effective) acoustic geometry with circulation. Notably, the behavior of this acoustic black hole aligns with the…

General Relativity and Quantum Cosmology · Physics 2026-05-19 H. S. Vieira

By considering a deformation of the Schwarzschild metric in the presence of a minimal measurable length which still respects the equivalence principle, we study corrections to the standard general relativistic predictions for some…

General Relativity and Quantum Cosmology · Physics 2017-06-22 Mohsen Khodadi , Kourosh Nozari , Anahita Hajizadeh

We study the approach to gravity in which our curved spacetime is considered as a surface in a flat ambient space of higher dimension (the embedding theory). The dynamical variable in this theory is not a metric but an embedding function.…

General Relativity and Quantum Cosmology · Physics 2014-09-02 A. A. Sheykin , S. A. Paston

This work makes the first ever attempt to understand the influence of the black hole background space-time in determining the fundamental properties of the embedded relativistic acoustic geometry. To accomplish such task, the role of the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Hung-Yi Pu , Ishita Maiti , Tapas Kumar Das , Hsiang-Kuang Chang

We study gravitational collapse with anisotropic pressures, whose end stage can mimic space-times that are seeded by galactic dark matter. To this end, we identify a class of space-times (with conical defects) that can arise out of such a…

Astrophysics of Galaxies · Physics 2017-08-30 Uddipan Banik , Dipanjan Dey , Kaushik Bhattacharya , Tapobrata Sarkar

The pseudo-Finsleroid relativistic metric was constructed upon assuming that the involved vector field $b_i$ is time-like. In the present paper it is shown that the metric admits just the alternative counterpart in which the field is…

Differential Geometry · Mathematics 2008-06-17 G. S. Asanov

The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $\dot{M}$, sonic speed $a_s$ and other flow parameters are generalised for the…

General Relativity and Quantum Cosmology · Physics 2017-09-21 Rahul Kumar , Sushant G. Ghosh

We study the reflection of an acoustic plane wave from a steadily sliding planar interface with velocity strengthening friction or a shear band in a confined granular medium. The corresponding acoustic impedance is utterly different from…

Condensed Matter · Physics 2009-11-10 C. Caroli , B. Velicky

Alternative to the sonic black hole analogues we discuss a different scenario for modeling the Schwarzschild geometry in a laboratory - the dielectric black hole. The dielectric analogue of the horizon occurs if the velocity of the medium…

Quantum Physics · Physics 2009-11-07 Ralf Schützhold , Günter Plunien , Gerhard Soff

In a foregoing paper, gravity has been interpreted as the pressure force exerted on matter at the scale of elementary particles by a perfect fluid. Under the condition that Newtonian gravity must be recovered in the incompressible case, a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Notions of compatible and almost compatible pseudo-Riemannian metrics, which are motivated by the theory of compatible (local and nonlocal) Poisson structures of hydrodynamic type and generalize the notion of flat pencil of metrics, are…

Differential Geometry · Mathematics 2007-05-23 O. I. Mokhov

We consider classical fluids in non-relativistic framework. The flow is considered to be barotropic, inviscid and rotational. We study the linear perturbations over a steady state background flow. We find the acoustic metric from the…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Satadal Datta , Arpan Krishna Mitra
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