Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory

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 transsonic regimes at a laboratory are employed here to provide ex...

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Main Authors: R. da Rocha, R.F. Sobreiro, A.A. Tomaz
Format: Article
Language:English
Published: Elsevier 2017-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317309012
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author R. da Rocha
R.F. Sobreiro
A.A. Tomaz
author_facet R. da Rocha
R.F. Sobreiro
A.A. Tomaz
author_sort R. da Rocha
collection DOAJ
description 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 transsonic regimes at a laboratory are employed here to provide experimental data regarding generalized theories of gravity, comprised by the exact de Sitter-like solution and a perturbative solution around the Schwarzschildâde Sitter standard solution as well. Using the classical tests of General Relativity to bound free parameters in these solutions, acoustic perturbations on fluid flows in nozzles are then regarded, to study quasinormal modes of these black holes solutions, providing deviations of the de Laval nozzle cross-sectional area, when compared to the Schwarzschild solution. The fluid sonic point in the nozzle, for sound waves in the fluid, is shown to implement the acoustic event horizon corresponding to quasinormal modes. Keywords: Black holes, Fluid branes, Fluid dynamics, Quadratic curvature gravity, de Laval nozzle
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spelling doaj.art-2ee657cc345c4a39871ae1191cd49c502022-12-21T20:05:28ZengElsevierPhysics Letters B0370-26932017-12-01775277282Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratoryR. da Rocha0R.F. Sobreiro1A.A. Tomaz2Centro de Matemática, Computação e Cognição, Universidade Federal do ABC â UFABC, 09210-580, Santo André, BrazilUFF â Universidade Federal Fluminense, Instituto de Física, Campus da Praia Vermelha, Avenida General Milton Tavares de Souza s/n, 24210-346, Niterói, RJ, Brazil; Corresponding author.CBPF â Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud, 150, 22290-180, Rio de Janeiro, RJ, BrazilSound 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 transsonic regimes at a laboratory are employed here to provide experimental data regarding generalized theories of gravity, comprised by the exact de Sitter-like solution and a perturbative solution around the Schwarzschildâde Sitter standard solution as well. Using the classical tests of General Relativity to bound free parameters in these solutions, acoustic perturbations on fluid flows in nozzles are then regarded, to study quasinormal modes of these black holes solutions, providing deviations of the de Laval nozzle cross-sectional area, when compared to the Schwarzschild solution. The fluid sonic point in the nozzle, for sound waves in the fluid, is shown to implement the acoustic event horizon corresponding to quasinormal modes. Keywords: Black holes, Fluid branes, Fluid dynamics, Quadratic curvature gravity, de Laval nozzlehttp://www.sciencedirect.com/science/article/pii/S0370269317309012
spellingShingle R. da Rocha
R.F. Sobreiro
A.A. Tomaz
Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory
Physics Letters B
title Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory
title_full Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory
title_fullStr Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory
title_full_unstemmed Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory
title_short Quadratic curvature terms and deformed Schwarzschildâde Sitter black hole analogues in the laboratory
title_sort quadratic curvature terms and deformed schwarzschildade sitter black hole analogues in the laboratory
url http://www.sciencedirect.com/science/article/pii/S0370269317309012
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AT aatomaz quadraticcurvaturetermsanddeformedschwarzschildadesitterblackholeanaloguesinthelaboratory