Moving mirrors and event horizons in non-flat background geometry

TL;DR

This paper extends the moving mirror model to non-flat backgrounds, specifically Schwarzschild-de Sitter and BTZ black holes, including spinning cases, to better understand black hole radiation in diverse geometries.

Contribution

It generalizes the moving mirror correspondence to non-trivial background geometries, including rotating black holes, enhancing the model's applicability.

Findings

Model successfully applied to Schwarzschild-de Sitter background.

Extended to BTZ black holes, including spinning cases.

Demonstrated the approach's effectiveness for axial symmetry.

Abstract

Moving mirrors have been used for a long time as simple models for studying various properties of black hole radiation, such as the thermal spectrum and entanglement entropy. These models are typically constructed to mimic the collapse of a spherically symmetric distribution of matter in the Minkowski background. We generalize this correspondence to the case of non-trivial background geometry and consider two examples, the Schwarzschild -- de Sitter black hole and the Ba\~nados--Teitelboim--Zanelli (BTZ) black hole. In the BTZ case we were also able to show that this approach works for the spinning black hole which has only axial symmetry.