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Sound waves on a fluid stream, in a de Laval nozzle, are shown to correspond to quasinormal modes emitted by black holes that are physical solutions in a quadratic curvature gravity with cosmological constant. Sound waves patterns in…

General Relativity and Quantum Cosmology · Physics 2017-11-21 Roldao da Rocha , R. F. Sobreiro , A. A. Tomaz

We study a gas flow in the Laval nozzle, which is a convergent-divergent tube that has a sonic point in its throat. We show how to obtain the appropriate form of the tube, so that the acoustic perturbations of the gas flow in it satisfy any…

General Relativity and Quantum Cosmology · Physics 2015-04-28 M. A. Cuyubamba

We investigate the waveforms and quasi-normal modes around Schwarzschild traversable wormholes under different field perturbations, including the scalar field, the electromagnetic (vector) field, and the axial gravitational (tensor) field…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hao Yang , Zhong-Wu Xia , Yan-Gang Miao

Quasinormal ringing of acoustic black holes in Laval nozzles is discussed. The equation for sounds in a transonic flow is written into a Schr\"{o}dinger-type equation with a potential barrier, and the quasinormal frequencies are calculated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Masa-aki Sakagami

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Leor Barack , Carlos O. Lousto

The correspondence between sound waves, in a de Laval propelling nozzle, and quasinormal modes emitted by brane-world black holes deformed by a 5D bulk Weyl fluid are here explored and scrutinised. The analysis of sound waves patterns in a…

High Energy Physics - Theory · Physics 2017-05-31 Roldao da Rocha

Gravitational waves emitted by distorted black holes, such as those arising from the coalescence of binary black holes, or a falling compact star into a supermassive black hole, carry not only information about the corresponding spacetime…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Chao Zhang , Tao Zhu , Anzhong Wang

We investigate the backreaction equations for an acoustic black hole formed in a Laval nozzle under the assumption that the motion of the fluid is one-dimensional. The solution in the near-horizon region shows that as phonons are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Balbinot , S. Fagnocchi , A. Fabbri

We explore how perturbations of a Schwarzschild black hole can redistribute energy among scalar modes and seed turbulent like cascades. We make use of the van der Pol-Krylov-Bogoliubov averaging method and derive coupled mode equations that…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Alex Kehagias , Antonio Riotto

We study the even-parity $\ell=2$ perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potential and a source term. The source term is quadratic in terms…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

The explicit form of perturbation equation for the $\Psi_4$ Weyl scalar, containing the matter source terms, is derived for general type D spacetimes. It is described in detail the particular case of the Schwarzschild spacetime using…

General Relativity and Quantum Cosmology · Physics 2011-02-19 Juan Carlos Degollado , Dario Nunez , Carlos Palenzuela

A connection is established between transonic sound waves propagating along a de Laval nozzle and quasinormal modes emitted from hairy black holes obtained with the gravitational decoupling method applied to the Reissner-Nordstr\"om…

General Relativity and Quantum Cosmology · Physics 2024-08-05 R. Casadio , C. Noberto Souza , R. da Rocha

The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

Astrophysical black holes are generally surrounded by accretion disks, galactic matter and the omnipresent cosmic microwave background radiation, thus allowing for the concurrent propagation of both gravitational and sound waves. Recently,…

General Relativity and Quantum Cosmology · Physics 2022-03-10 H. S. Vieira , Kyriakos Destounis , Kostas D. Kokkotas

Acoustic black holes, analogs of gravitational black holes created in fluid systems, have recently been embedded within Schwarzschild spacetime using the Gross-Pitaevskii theory, leading to configurations with both event and acoustic…

High Energy Physics - Theory · Physics 2025-05-19 Balbeer Singh , Nibedita Padhi , Rashmi R. Nayak

Perturbations form an important section of black hole analyses. This paper deals with the effect of perturbations as in the delineation of waves that occur. It makes use of the spin coefficients from [3] to represent the general equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kartheek R Solipuram

Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-01-09 R. Casadio , C. Noberto Souza , R. da Rocha

Gravitational waves emitted from the gravitational ringing of supermassive black holes are important targets to test general relativity and probe the matter environment surrounding such black holes. The main components of the ringing…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Chao Zhang , Tao Zhu , Xiongjun Fang , Anzhong Wang

Linearized perturbations of a Schwarzschild black hole are described, for each angular momentum $\ell$, by the well-studied discrete quasinormal modes (QNMs), and in addition a continuum. The latter is characterized by a cut strength…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. T. Leung , Alec Maassen_van_den_Brink , K. W. Mak , K. Young
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