Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
arXiv:2302.01458 · doi:10.1140/epjc/s10052-023-11292-6
Abstract
Formal analogies between the ordinary differential equations describing geophysical flows and Friedmann cosmology are developed. As a result, one obtains Lagrangian and Hamiltonian formulations of these equations, while laboratory experiments aimed at testing geophysical flows are shown to constitute analogue gravity systems for cosmology.
arXiv comment8 pages, latex, to appear in Eur. Phys. J. C
References in corpus (38)
- Analogue Gravity
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Measurement of stimulated Hawking emission in an analogue system
- Superfluid analogies of cosmological phenomena
- Sonic black holes in dilute Bose-Einstein condensates
- Analog gravity from Bose-Einstein condensates
- Gravity wave analogs of black holes
- Observation of superradiance in a vortex flow
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- Hawking radiation in an electro-magnetic wave-guide?
- A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
- "Cosmological" quasiparticle production in harmonically trapped superfluid gases
- On Slow Light as a Black Hole Analogue
- Resonance NLS Solitons as Black Holes in Madelung Fluid
- Effective spacetime and Hawking radiation from moving domain wall in thin film of 3He-A
- Dielectric black hole analogues
- Analogue models for FRW cosmologies
- Riemannian geometry of irrotational vortex acoustics
- Observer dependence for the phonon content of the sound field living on the effective curved space-time background of a Bose-Einstein condensate
- Vortex geometry for the equatorial slice of the Kerr black hole
- Imperfect fluid description of modified gravities
- Probing the scale invariance of the inflationary power spectrum in expanding quasi-two-dimensional dipolar condensates
- Black hole quasibound states from a draining bathtub vortex flow
- Backreaction in an analogue black hole experiment
- Analogue Cosmological Particle Creation: Quantum Correlations in Expanding Bose Einstein Condensates
- First-order thermodynamics of Horndeski gravity
- Superradiant scattering from a hydrodynamic vortex
- Nonlinear Dynamics of the Cold Atom Analog False Vacuum
- Superradiant scattering in fluids of light
- Nonlinear optics of surface plasmon toy black holes
- Linear and nonlinear optics of surface plasmon toy-models of black holes and wormholes
- Black-hole horizon and metric singularity at the brane separating two sliding superfluids
- Multi-fluid cosmology in Einstein gravity: analytical solutions
- Visco-elastic Cosmology for a Sparkling Universe?
- Solving the brachistochrone and other variational problems with soap films