Black hole acoustics in the minimal geometric deformation of a de Laval nozzle

Abstract

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 scrutinized. The analysis of sound waves patterns in a de Laval nozzle in the laboratory, reciprocally, is here shown to provide relevant data about the 5D bulk Weyl fluid and its on-brane projection, comprised by the minimal geometrically deformed compact stellar distribution on the brane. Acoustic perturbations of the gas fluid flow in the de Laval nozzle are proved to coincide with the quasinormal modes of black holes solutions deformed by the 5D Weyl fluid, in the geometric deformation procedure. Hence, in a phenomenological Eötvös-Friedmann fluid brane-world model, the realistic shape of a de Laval nozzle is derived and its consequences studied.

Anisotropic solutions by gravitational decoupling

“…[8][9][10][11], and for some recent applications Refs. [12][13][14][15][16][17]). The decoupling of gravitational sources by MGD (henceforth MGD-decoupling) is not only a novel idea, but also has a number of ingredients that make it particularly attractive in the search for new spherically symmetric solutions of Einstein's field equations, as discussed below.…”

Isotropization and change of complexity by gravitational decoupling

“…where the geometric deformation is induced by the existence of extra spatial dimensions and α is naturally proportional to the inverse of the brane tension [7][8][9][10][11][12][13][14][15][16][17][18][19] (for some resent applications see also [20][21][22][23]). The main applications of this approach so far were to build new solutions of Eq.…”

Using MGD Gravitational Decoupling to Extend the Isotropic Solutions of Einstein Equations to the Anisotropical Domain

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