Newtonian and Post-Newtonian tidal theory - Variable G and earthquakes

Mathematics

Scientific paper

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Earthquakes, Gravitational Constant, Newton Theory, Tides, Earth Gravitation, Periodic Variations, Seismology

Scientific paper

A mathematical analysis of the Newtonian and parametrized Post-Newtonian tidal stresses is applied to tidal triggering mechanism for earthquakes. We investigate a possible correlation. The procedure used for calculating the solid earth tidal stress is described by the Newtonian theory and the parametrized Post-Newtonian metric. We calculate tidal stress histories for earthquakes between 1908 and 1991 in the Greek area. Although no significant tidal correlation was found for the entire data set, which contained earthquakes of magnitude greater than 6.0, a fairly striking correlation was observed for an earthquake-tide correlation by computing tidal functions at the time and place of the earthquake events. A successful correlation as used in this paper means that earthquake events occur during a certain part of the tidal cycle. Also, we have studied a variation of the gravitational constant according to the variation of the velocity of the earth and the uniform velocity of the solar system with respect to a 'preferred universal rest frame'.

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