Anti-Hawking Phenomena around a Rotating BTZ Black Hole

TL;DR

This paper explores how rotation influences anti-Hawking effects around a BTZ black hole, revealing that rotation can amplify or modify these effects depending on boundary conditions and black hole parameters.

Contribution

It is the first study to analyze the impact of rotation on weak and strong anti-Hawking effects for an Unruh-DeWitt detector near a BTZ black hole.

Findings

Rotation amplifies the weak anti-Hawking effect.

Boundary conditions determine whether rotation amplifies or reduces the strong anti-Hawking effect.

Longer AdS length increases the temperature range of the strong anti-Hawking effect.

Abstract

In both flat and curved spacetimes, there are weak and strong versions of the anti-Unruh/anti-Hawking effects, in which the KMS field temperature is anti-correlated with the response of a detector and its inferred temperature. We investigate for the first time the effects on the weak and strong anti-Hawking effects for an Unruh-DeWitt detector orbiting a BTZ black hole in the co-rotating frame. We find that rotation can significantly amplify the strength of the weak anti-Hawking effect, whereas it can either amplify or reduce the strength of the strong anti-Hawking effect depending on boundary conditions. For the strong anti-Hawking effect, we find a non-monotonic relationship between the angular momentum and detector temperature for each boundary condition. In addition, we note that the weak anti-Hawking effect is independent of a changing AdS length, while a longer AdS length increases the temperature range of the strong anti-Hawking effect.