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How to lasso a plane gravitational wave

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Abstract

Beginning with the stress-energy tensor of an elastic string this paper derives a relativistic string and its form in a parallel transported Fermi frame including its reduction to a Cosserat string in the Newtonian limit. In a Fermi frame gravitational curvature is seen to induce three dominant relative acceleration terms dependent on: position, velocity and position, strain and position, respectively. An example of a string arranged in an axially flowing ring (a lasso) is shown to have a set of natural frequencies that can be parametrically excited by a monochromatic plane gravitational wave. The lasso also exhibits, in common with spinning particles, oscillations about geodesic motion in proportion to spin magnitude and wave amplitude when the spin axis lies in the gravitational wave front.

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  1. Department of Mathematics, University of Wales, GB-Aberystwyth, SY23 3BZ, Great Britain, UK

    P. C. Bollada

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  1. P. C. Bollada
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Bollada, P.C. How to lasso a plane gravitational wave. Gen Relativ Gravit 37, 343–363 (2005). https://doi.org/10.1007/s10714-005-0023-1

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  • DOI: https://doi.org/10.1007/s10714-005-0023-1

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