Black hole analogues in two-dimensional flows with constant shear

TL;DR

This paper reviews the analogue gravity framework for 2D water wave systems, extending previous models to include flows with constant shear, and demonstrates that such flows can still be described by an effective curved spacetime metric.

Contribution

It generalizes the effective spacetime description of surface waves to include flows with constant shear, broadening the applicability of analogue gravity models.

Findings

Flows with constant shear are compatible with an effective curved spacetime.

The metric description remains valid for shear flows.

The review clarifies the geometric interpretation of water wave systems with shear.

Abstract

We review the Analogue Gravity description of a unidirectional water wave system, assuming no prior knowledge of General Relativity or differential geometry. In so doing, we generalize established results concerning an effective curved spacetime for surface waves on irrotational 2D flows, by including flows with constant shear. We show that such flows remain perfectly compatible with the existence of an effective curved spacetime and, in particular, of a metric description.