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The effect of gravitational waves from a spinning rod on its rigidity
Authors:T. T. Chia
Affiliation:(1) Astronomy Group, Department of Physics, Queen's University, K7L 3N6 Kingston, Ontario, Canada;(2) Present address: Department of Mathematics and Astronomy, University of Manitoba, R3T 2NT Winnipeg, Manitoba, Canada
Abstract:The energy and angular momentum flux carried by gravitational waves from a spinning rod are calculated exactly in the weak field limit of general relativity. It is shown that contrary to common belief, the energy and angular momentum flux are not proportional and the energy and angular momentum equations governing the evolution of the rod are not identical. The spinning rod does not remain rigid: Its length increases. Both the angular deceleration and the rate of change of length are dependent on the nature of the material of the rod, and these rates are small, as expected.
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