Weber antenna response in different gravitation theories

Computer Science

Scientific paper

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Cylindrical Antennas, Gravitation Theory, Gravitational Waves, Elastic Waves, Metric Space, Propagation Modes, Wave Propagation

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Scientific paper

Abstract

Coupling of a Weber cylinder to a gravitational field is investigated in a three-dimensional treatment of the induced elastic vibrations. Attention is focused on the tidal acceleration field inside the cylinder in order to analyze the cylinder's motion in terms of the polarization properties of a gravitational wave. In the analysis, a radiation pulse is considered as a region of empty space endowed with a geometry completely characterized by a (symmetric) metric tensor and a torsion tensor. It is shown that the Weber cylinder can be used, at least in principle, to reconstruct fully the (linearized) Riemann tensor associated with the wave in any metric theory of gravitation, provided the wave propagation vector is known. It is concluded that complete testing of gravitation theories by observing gravitational radiation with the Weber cylinder requires the detection of bending and quadrupole modes in addition to longitudinal modes.

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