Analog Schwarzschild-like geometry in fluids with external pressure

TL;DR

This paper explores how fluids under external pressure can be used to create acoustic geometries that resemble Schwarzschild black holes, emphasizing the necessity of a relativistic framework for accurate modeling.

Contribution

It demonstrates that mimicking Schwarzschild-like geometries in fluids requires a relativistic acoustic framework, highlighting conditions for such analogies.

Findings

Relativistic acoustic geometry is essential for Schwarzschild-like mimicking.

External pressure influences the acoustic metric structure.

Non-relativistic fluids cannot accurately replicate Schwarzschild geometries.

Abstract

We study acoustic geometry in fluids with external pressure. In particular, we examine the conditions under which the acoustic metric mimics a Schwarzschild-like metric. We demonstrate that it is possible to mimic a Schwarzschild-like geometry in a consistent way only in the framework of relativistic acoustic geometry.