The averaged Lagrangian and high-frequency gravitational waves

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

The averaged Lagrangian technique of Whitham is applied to the second variation Lagrangian for the perturbations of a general-relativistic spacetime. This gives a variational principle for (sums of) approximately periodic gravitational waves which in turn leads to the rederivation of some results of Isaacson. Examples of the use of the method are discussed.

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