Anti-Hawking Phenomena around a Rotating BTZ Black Hole

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.

10 pages, 7 figures

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Cited by in corpus (10)

• Quantum signatures of black hole mass superpositions
• Circular motion analogue Unruh effect in a $2+1$ thermal bath: Robbing from the rich and giving to the poor
• Dissipative dynamics of an open quantum battery in the BTZ spacetime
• Mutual information harvested by uniformly accelerated particle detectors
• Response of an Unruh-DeWitt detector near an extremal black hole
• The Lamb shift in the BTZ spacetime
• Gravity-induced transparency
• Notes on solution phase space and BTZ black hole
• Thermal Fisher information for a rotating BTZ black hole
• Physical significance of generalized boundary conditions: an Unruh-DeWitt detector viewpoint on ${\text{AdS}}_2\times {\mathbb{S}}^2$