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.
Highlights
General relativity (GR) is a successful theory, widely tested by experiments and observations, a limited one as regards some recent questions, like the nature of dark energy/dark matter
In brane-world models, the brane self-energy density is manifest as the brane tension (σ ), which is assumed to be infinite in the GR limit
The de Laval nozzle associated with black hole analogs produced in the laboratory can present their trend slightly modified by 5D bulk Weyl fluid effects
Summary
General relativity (GR) is a successful theory, widely tested by experiments and observations, a limited one as regards some recent questions, like the nature of dark energy/dark matter. Our point here is to derive and analyze the correction to a de Laval nozzle trend, using its analogy to a braneworld black hole in the minimal geometric deformation setup, regarding a variable brane tension. 3, a gas flow is perturbed in a de Laval nozzle, whose wave equation is analog to the wave equation regarding spin-s perturbations of minimal geometrically deformed brane-world black holes. We here propose to study quasinormal modes from these black holes in the laboratory, when the wave equation in a de Laval nozzle equals the wave equation of spin-s perturbations of brane-world black holes undergoing a minimal geometric deformation.
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