Near-extremal dumb holes and some aspects of the Hawking effect

TL;DR

This paper introduces new non-relativistic fluid models mimicking extremal and near-extremal black holes, studies the back-reaction of Hawking radiation, and explores the potential emergent Hawking force affecting fluid dynamics.

Contribution

It presents novel dumb hole models for extremal black holes and analyzes the back-reaction effects of Hawking phonons on the background fluid velocity.

Findings

Reduction in background fluid velocity due to Hawking phonon emission

Proposal of an emergent Hawking force affecting fluid dynamics

Quantification of back-reaction effects in analogue models

Abstract

We propose novel non-relativistic fluid analogue models, that is dumb hole models, for extremal and near-extremal black holes. Further we study the back-reaction effects of analogue Hawking radiation emitted from these dumb holes. We discuss and quantify the reduction in the background fluid velocity caused by radiation of Hawking phonons. In doing so, we speculate on the existence of an emergent Hawking force which leads to the reduction in the background fluid velocity and which is produced as a consequence of phonon emission. In addition to the analogue gravity literature, our results might be of relevance to black hole pedagogy.