Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip

A recent model predicting Omori’s law giving the number of aftershocks per unit time following an earthquake involves a differential equation analogous to the Friedmann equation of cosmology. The beforeshock phase is analogous to an accelerating universe approaching a Big Rip, the main shock to the...

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Autor principal: Faraoni, Valerio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7319289/
https://www.ncbi.nlm.nih.gov/pubmed/32624683
http://dx.doi.org/10.1140/epjc/s10052-020-8019-2
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author Faraoni, Valerio
author_facet Faraoni, Valerio
author_sort Faraoni, Valerio
collection PubMed
description A recent model predicting Omori’s law giving the number of aftershocks per unit time following an earthquake involves a differential equation analogous to the Friedmann equation of cosmology. The beforeshock phase is analogous to an accelerating universe approaching a Big Rip, the main shock to the Big Rip singularity, and the aftershock to a contracting universe. The analogy provides some physical intuition and Lagrangian and Hamiltonian formulations for Omori’s law and its generalizations.
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spelling pubmed-73192892020-07-01 Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip Faraoni, Valerio Eur Phys J C Part Fields Regular Article - Theoretical Physics A recent model predicting Omori’s law giving the number of aftershocks per unit time following an earthquake involves a differential equation analogous to the Friedmann equation of cosmology. The beforeshock phase is analogous to an accelerating universe approaching a Big Rip, the main shock to the Big Rip singularity, and the aftershock to a contracting universe. The analogy provides some physical intuition and Lagrangian and Hamiltonian formulations for Omori’s law and its generalizations. Springer Berlin Heidelberg 2020-05-19 2020 /pmc/articles/PMC7319289/ /pubmed/32624683 http://dx.doi.org/10.1140/epjc/s10052-020-8019-2 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Funded by SCOAP3
spellingShingle Regular Article - Theoretical Physics
Faraoni, Valerio
Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
title Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
title_full Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
title_fullStr Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
title_full_unstemmed Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
title_short Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
title_sort lagrangian formulation of omori’s law and analogy with the cosmic big rip
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7319289/
https://www.ncbi.nlm.nih.gov/pubmed/32624683
http://dx.doi.org/10.1140/epjc/s10052-020-8019-2
work_keys_str_mv AT faraonivalerio lagrangianformulationofomorislawandanalogywiththecosmicbigrip

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