Nonstationary analogue black holes

TL;DR

This paper investigates the formation, properties, and inverse determination of nonstationary spherically symmetric analogue black holes, with applications to acoustic models and other physical systems, including horizon dynamics.

Contribution

It introduces a general class of nonstationary metrics for analogue black holes, analyzes horizon behavior, and explores inverse boundary measurement problems.

Findings

Examples of black hole formation and white hole disappearance.

Analysis of the relation between apparent and event horizons.

Inverse problem solutions for determining black/white holes from boundary data.

Abstract

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of analogue black and white holes. We give examples of the appearance of black holes and of disappearance of white holes. We also discuss the relation between the apparent and the event horizons for the case of analogue black holes. In the end we study the inverse problem of determination of black or white holes by boundary measurements for the spherically symmetric nonstationary metrics.