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Quadratic curvature terms and deformed Schwarzschild–de Sitter black hole analogues in the laboratory

2017/05/13 by Roldão da Rocha, Roldao da Rocha, R. F. Sobreiro +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Event horizon #General relativity #Geometry #Gravitation #Horizon #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #gr-qc #physics.flu-dyn

paper · pdf · doi:10.1016/j.physletb.2017.11.009

published as Phys. Lett. B775 (2017) 277 · 5 pages, 2 figures

arxiv created 2017/05/13 · openalex created_date 2017/05/26 · openalex publication_date 2017/11/08 · arxiv updated 2017/11/21 · openalex updated_date 2026/08/06

Abstract

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 Schwarzschild–de 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.

Citations