Hawking type radiation from acoustic black holes with time-dependent metric

TL;DR

This paper investigates Hawking-like radiation from a 2+1 dimensional acoustic black hole with a dynamic metric, analyzing particle creation using specialized eikonals and the Unruh vacuum.

Contribution

It introduces a method to analyze Hawking radiation in a time-dependent acoustic black hole, extending previous static models to dynamic scenarios.

Findings

Derived expressions for particle creation rates in a time-dependent acoustic black hole

Demonstrated the influence of metric dynamics on Hawking radiation

Provided a framework for future studies of evolving black hole analogs

Abstract

We consider a time-dependent acoustic metric in 2+1 dimensions having a black hole and we study the Hawking type radiation from such black hole. We construct eikonals of special form with the support close to the black hole. We compute the average number of created particles where the average is taken with respect to the Unruh type vacuum.