On relativistic deformable solids and the detection of gravitational waves.

Details On relativistic deformable solids and the detection of gravitational waves. On relativistic deformable solids and the detection of gravitational waves.

Feb 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974gregr...5...13m&link_type=abstract

General Relativity and Gravitation, Volume 5, Issue 1, pp.13-23

Computer Science

9

Scientific paper

In this paper, the purpose of which is to complement a preceding work [1], it is shown, in agreement with the theory of relativistic deformable solids developed by A.C. Bringen and his coworkers, that the simplest conceivable dissipative constitutive equation — that of a socalled KelvinVoigt viscoelastic solid — yields a gravitational wave equation of propagation different from that of Weber: specifically, the following third order partial differential equation, {partial ^2 θ }/{partial t^2 } - left( {A + A'{partial ^2 θ }/{partial t}} right){partial ^2 θ }/{partial x^2 } = c^2 R_{1441'} which can be solved by use of Fourier transform techniques, and where A and A' are positive material coefficients.

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