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Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems

Published 2 Feb 2023 in gr-qc and physics.geo-ph | (2302.01458v1)

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.

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