Lagrangian methods and nonlinear high-frequency gravitational waves

Details Lagrangian methods and nonlinear high-frequency gravitational waves Lagrangian methods and nonlinear high-frequency gravitational waves

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21..323a&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 4, pp.323-348

Physics

4

Scientific paper

An iterative procedure using Whitham's averaged Lagrangian technique and a two-parameter expansion of the metric tensor to investigate nonlinear high-frequency gravitational waves is developed. It is shown that, as a result of the nonlinearity, high-frequency gravitational waves are no longer restricted to propagate along null geodesics as in the linear theory. It is also shown that, to the order of approximation investigated, the theory is gauge invariant.

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