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


ABSTRACT: 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.

SUBMITTER: Faraoni V 

PROVIDER: S-EPMC7319289 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature

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

Faraoni Valerio V  

The European physical journal. C, Particles and fields 20200519 5


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. ...[more]

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