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

Author(s)

da Rocha, R. ^[1] ; Sobreiro, R. F. ^[2] ; Tomaz, A. A. ^[3]

Affiliation

^[1] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, BR-09210580 Santo Andre - Brazil

^[2] UFF Univ Fed Fluminense, Inst Fis, Campus Praia Vermelha, BR-24210346 Niteroi, RJ - Brazil

^[3] CBPF, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ - Brazil

• Document type: Journal article
• Source: Physics Letters B; v. 775, p. 277-282, DEC 10 2017.
• Web of Science Citations: 1

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. (C) 2017 The Authors. Published by Elsevier B.V. (AU)

• FAPESP's process: 15/10270-0 - Fluid / gravity correspondence and applications
• Grantee: Roldão da Rocha
• Support Opportunities: Regular Research Grants
• FAPESP's process: 17/18897-8 - Fluid/gravity correspondence, fermionic sectors and its ramifications
• Grantee: Roldão da Rocha
• Support Opportunities: Regular Research Grants