Optical analogue of the Schwarzschild-Planck metric
arXiv:2112.00194 · doi:10.1088/1361-6382/ac7506
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.
arXiv comment15 pages, 5 figures, 46 references
References in corpus (31)
- Fiber-optical analogue of the event horizon
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Hawking radiation from ultrashort laser pulse filaments
- On the gravitational field of a mass point according to Einstein's theory
- Analog gravity from Bose-Einstein condensates
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Hawking Radiation Without Transplanckian Frequencies
- Observation of Stimulated Hawking Radiation in Optics
- An acoustic black hole in a stationary hydrodynamic flow of microcavity polaritons
- The evolution of the Cosmic Microwave Background Temperature: Measurements of TCMB at high redshift from carbon monoxide excitation
- Quantum catastrophe of slow light
- On Slow Light as a Black Hole Analogue
- The river model of black holes
- Negative frequency resonant radiation
- The theory of Hawking radiation in laboratory analogues
- Time Dependence of Particle Creation from Accelerating Mirrors
- Mirror Reflections of a Black Hole
- Dielectric black holes induced by a refractive index perturbation and the Hawking effect
- Remnant-free Moving Mirror Model for Black Hole Radiation Field
- Polariton fluids for analogue gravity physics
- Extreme Hawking Radiation
- Accurate Determination of Hubble Attenuation and Amplification in Expanding and Contracting Cold-Atom Universes
- Hawking spectrum for a fiber-optical analog of the event horizon
- Waves on a vortex: rays, rings and resonances
- Finite thermal particle creation of Casimir light
- Schwarzschild Metric with Planck Length
- Analogue models for Schwarzschild and Reissner-Nordström spacetimes
- Reflections on a Black Mirror
- Hawking temperature in dispersive media: Analytical and numerical study
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- Stopping to Reflect: Asymptotic Static Moving Mirrors as Quantum Analogs of Classical Radiation
- Bayesian analysis of analog gravity systems with the Rezzolla-Zhidenko metric
- Classical Acceleration Temperature (CAT) in a Box
- Self-Similar acoustic white hole solutions in Bose-Einstein condensates and their Borel analysis