Matter tensor for a freely falling oscillating bar in a gravitational wave

Details Matter tensor for a freely falling oscillating bar in a gravitational wave Matter tensor for a freely falling oscillating bar in a gravitational wave

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..387p&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, April 1984, p. 387-392.

Physics

Equations Of Motion, Free Fall, Gravitational Wave Antennas, Matter (Physics), Mechanical Oscillators, Tensor Analysis, Bars, Geodesic Lines, Random Vibration, Riemann Manifold, Space-Time Functions, Suspending (Hanging)

Scientific paper

The matter tensor and motion of an oscillating bar in free fall in a Bondi plane gravitational wave (Synge, 1964) are derived analytically for arbitrary and not necessarily constant bar frequency and amplitude. Exact results are obtained for the case discussed by Dixon (1973) and Ehlers and Rudolf (1977), where the quadrupole moment of the bar is in phase with the Riemann tensor of the wave: the bar motion is shown to be geodesic. The matter tensor for a suspended bar (such as the Weber bar used in searches for gravitational waves) is also calculated.

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