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.

10 pages, 8 figures. RevTeX 4.1

References in corpus (4)

• Black holes as mirrors: quantum information in random subsystems
• Entangling Power of an Expanding Universe
• Wavepacket detection with the Unruh-DeWitt model
• Unruh-DeWitt detector response along static and circular geodesic trajectories for Schwarzschild-AdS black holes

Cited by in corpus (9)

• Entanglement harvesting of three Unruh-DeWitt detectors
• Entanglement Harvesting with a Twist
• Schrödinger's cat for de Sitter spacetime
• Anti-Hawking Phenomena around a Rotating BTZ Black Hole
• Schrödinger's Black Hole Cat
• Quantum fluctuating geometries and the information paradox
• Quantum Detection of Conicity
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Physical significance of generalized boundary conditions: an Unruh-DeWitt detector viewpoint on ${\text{AdS}}_2\times {\mathbb{S}}^2$