Hawking radiation from acoustic black holes in two space dimensions

TL;DR

This paper investigates Hawking radiation in two-dimensional acoustic black holes, analyzing the effects of variable radial and angular velocities using a specific vacuum state and wave packet approach.

Contribution

It introduces a novel analysis of Hawking radiation in 2D acoustic black holes with variable velocities, employing a different vacuum state and wave packet method.

Findings

Hawking radiation is present in 2D acoustic black holes.

Variable velocities affect the radiation characteristics.

A new vacuum state approach is effective in this context.

Abstract

We study the Hawking radiation for the acoustic black hole. In the beginning we follow the outline of T.Jacobson but then we use a different $2+1$ vacuum state similar to the vacuum state constructed by W.Unruh. We also use a special form of the wave packets. The focus of the paper is to treat the 2 dimensional case, in particular, the case when the radial and angular velocity are variable.