Classical and quantal aspects of Minkowski's four-momentum in analog gravity

Abstract

The electrodynamic theory of continuous media is probably the most convenient platform when trying to construct analog gravity theories. Quite naturally, this topic has gained considerable interest. One peculiar but not so very known feature in this context is the unconventional behavior of radiation energy and momentum in cases where superluminal fluid velocities are encountered, what, as known, is a major ingredient in analog gravity theories. These peculiar features are intimately connected with the spacelike character of Minkowski's four-momentum in electrodynamics. Here, we first consider an artificial model in which a Kerr-induced superluminal region is created in the right-hand region ($z>0$) in a left-moving, originally subluminal, fluid. We analyze the behavior of energy density, Poynting vector, and momentum density, and calculate the force on the artificial black hole horizon. Also, we delve into quantal aspects, looking for eventual production of particles associated with the sudden creation of the horizon, finding, however, that no particles are predicted to occur. The present paper continues a previous investigation by the author on the same topic, in Phys. Rev. A {\bf 100}, 032109 (2019). The subject as such is closely related to the famous Abraham-Minkowski problem.

arXiv comment13 pages, no figures. To appear in Phys. Rev. A

References in corpus (11)

• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• A Primer for Black Hole Quantum Physics
• Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Gravity wave analogs of black holes
• Observation of Stimulated Hawking Radiation in Optics
• The next generation of analogue gravity experiments
• Radiation Forces and the Abraham-Minkowski Problem
• Proposal for an analog Schwarzschild black hole in condensates of light
• Does the spacelike character of the Minkowski four-momentum show up in analog gravity?
• Energy Production in the Formation of a Finite Thickness Cosmic String

Cited by in corpus (3)

• Remarks on the Abraham-Minkowski problem, from the formal and from the experimental side
• Analogue gravitational lensing in optical Bose-Einstein condensates
• Very Special Relativity: Cherenkov Effect and an Analogy with Minkowski's Electrodynamics of Continuous Media