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Lagrangian formulation of Omori's law and analogy with the cosmic Big Rip.
The European Physical Journal C ( IF 4.4 ) Pub Date : 2020-05-19 , DOI: 10.1140/epjc/s10052-020-8019-2
Valerio Faraoni 1
Affiliation  

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.

中文翻译:

大森定律的拉格朗日公式以及与宇宙大撕裂的类比。

最近的一个预测大森定律的模型给出了地震后每单位时间余震的数量,该模型涉及一个类似于宇宙学弗里德曼方程的微分方程。前震阶段类似于接近大撕裂的加速宇宙、大撕裂奇点的主震和收缩宇宙的余震。这个类比为大森定律及其概括提供了一些物理直觉以及拉格朗日和哈密顿公式。
更新日期:2020-05-19
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