Optical analogue of the Schwarzschild-Planck metric

Abstract

We revisit the connection between trajectories of accelerated mirrors and spacetime metrics. We present the general (1+1)D effective metric that can be obtained with a fibre-optical analogue through the Kerr effect. Then we introduce a new connection between accelerated mirrors and the optical metric. In particular, we connect them for two specific trajectories: The first one is the black mirror that perfectly recreates the Schwarzchild spacetime. The second one is the Schwarzschild-Planck metric that is a regularized version of the Schwarzschild case. The regularization depends on a length scale that has a clear physical interpretation in the fibre-optical analogue system. We study the geometric properties and the Hawking radiation produced in these new analogue metrics.

15 pages, 5 figures, 46 references

References in corpus (7)

• Fiber-optical analogue of the event horizon
• Hawking radiation from ultrashort laser pulse filaments
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Dielectric black holes induced by a refractive index perturbation and the Hawking effect
• Accurate Determination of Hubble Attenuation and Amplification in Expanding and Contracting Cold-Atom Universes
• Finite thermal particle creation of Casimir light
• Analogue models for Schwarzschild and Reissner-Nordström spacetimes

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• Bayesian analysis of analog gravity systems with the Rezzolla-Zhidenko metric
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• Self-Similar acoustic white hole solutions in Bose-Einstein condensates and their Borel analysis