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

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...

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Main Authors: Valerio Faraoni, Sonia Jose
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11292-6
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author Valerio Faraoni
Sonia Jose
author_facet Valerio Faraoni
Sonia Jose
author_sort Valerio Faraoni
collection DOAJ
description 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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spelling doaj.art-343d6966fd7f48c6a0d9123a0274770c2023-04-03T05:37:52ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-018321810.1140/epjc/s10052-023-11292-6Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systemsValerio Faraoni0Sonia Jose1Department of Physics and Astronomy, Bishop’s UniversityDepartment of Physics and Astronomy, Bishop’s UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-023-11292-6
spellingShingle Valerio Faraoni
Sonia Jose
Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
European Physical Journal C: Particles and Fields
title Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
title_full Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
title_fullStr Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
title_full_unstemmed Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
title_short Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
title_sort cosmological analogies for geophysical flows lagrangians and new analogue gravity systems
url https://doi.org/10.1140/epjc/s10052-023-11292-6
work_keys_str_mv AT valeriofaraoni cosmologicalanalogiesforgeophysicalflowslagrangiansandnewanaloguegravitysystems
AT soniajose cosmologicalanalogiesforgeophysicalflowslagrangiansandnewanaloguegravitysystems