https://doi.org/10.1140/epjc/s10052-020-8019-2
Regular Article - Theoretical Physics
Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip
Department of Physics and Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC, J1M 1Z7, Canada
* e-mail: vfaraoni@ubishops.ca
Received:
14
April
2020
Accepted:
5
May
2020
Published online:
19
May
2020
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.
© The Author(s), 2020
