A note on analogue semi-classical gravity in (1+1) dimensions

TL;DR

This paper explores analogue models of black hole and cosmological physics using acoustic spacetimes, providing new insights into Hawking temperature and proposing an acoustic version of the Parker-Toms cosmology model.

Contribution

It introduces an acoustic analogue of the Parker-Toms cosmology model and offers new comments and derivations regarding the analogue Hawking temperature.

Findings

Derived the analogue Hawking temperature with a quick derivation.

Proposed an acoustic version of the Parker-Toms cosmology model.

Calculated relevant quantities and discussed the limits of the analogue model.

Abstract

Acoustic spacetimes have been known to offer analogue models for black hole physics and cosmology. Within this context, aspects of analogue quantum field theories in curved spacetime are studied. In particular some new comments have been made on the analogue Hawking temperature including a quick derivation of the result. Further, analogue cosmology is explored, within which, an acoustic version of the Parker-Toms model is proposed and the corresponding quantities have been calculated. The limits of the acoustic analogue are emphasised.