Phonon tunnels from a sonic black hole

TL;DR

This paper studies phonon radiation from a sonic black hole using semi-classical methods, accounting for backreaction, and finds the emission temperature aligns with Hawking's formula.

Contribution

It introduces a semi-classical analysis of phonon emission from a sonic black hole including backreaction effects, confirming the temperature matches Hawking's prediction.

Findings

Phonon emission temperature matches Hawking's formula

Backreaction effects are incorporated into the model

Provides a semi-classical framework for sonic black hole radiation

Abstract

We investigate the phonon radiation from a spherically symmetrical, stationary, viscid-free son-ic black hole by using a semi-classical method. The backreaction of the radiated phonon is taken into account. We obtain the phonon emission temperature, and it is consistent with the Hawking's formula.