Over the horizon: distinguishing the Schwarzschild spacetime and the ${\mathbb{RP}}^3$ spacetime using an Unruh-DeWitt detector

Abstract

We show that a particle detector can distinguish the ${\mathbb{RP}}^3$ geon from the Schwarzschild black hole, even though they differ only by a topological identification beyond the event horizon. This shows that the detector can read out information about the non-local structure even when separated from the non-locality by an event horizon. Our analysis of the dependence of the transition on the detector gap is novel, and in principle presents an interesting observational signal.

arXiv comment10 pages, 8 figures. RevTeX 4.1

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• Anti-Hawking Phenomena around a Rotating BTZ Black Hole
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• Quantum Detection of Conicity
• Quantum fluctuating CGHS geometries and the information paradox
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Physical significance of generalized boundary conditions: an Unruh-DeWitt detector viewpoint on ${\text{AdS}}_2\times {\mathbb{S}}^2$