Harmonic oscillations of elastic continua and detection of gravitational waves

Details Harmonic oscillations of elastic continua and detection of gravitational waves Harmonic oscillations of elastic continua and detection of gravitational waves

Jun 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973gregr...4..241m&link_type=abstract

General Relativity and Gravitation, Volume 4, Issue 3, pp.241-272

Physics

17

Scientific paper

In this article it is shown that the equation derived by weber from the equation of geodesic deviation — the equation that constitutes the basis for the theoretical studies concerning the detection of gravitational waves — can be obtained as an approximation to an equation deduced from Cauchy's equation which governs an elastic continuum. This is achieved within the frame of the formalism of the theory of relativistic continua developed by A. C. Eringen and his collaborators and the present author. The use of piezoelectric crystals in order to measure the stresses that result from incident gravitational waves is also examined within the framework provided by this theory.

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