Weak gravitation waves in vacuum and in media: Taking nonlinearity into account

Mathematics – Logic

Scientific paper

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Wave Propagation And Interactions, Origin And Formation Of The Universe

Scientific paper

The relevance of the nonlinear nature of gravity waves has been pointed out, in the astrophysical context, in recent publications by Christodoulou and by Thorne, who studied the nonlinear contribution to the memory effect. In the cosmological context, the role of nonlinearity has been discovered by Salopek, who studied the evolution of the primordial cosmological perturbations. In this article, we use the weak-field approximation to derive, in the perturbative approach, the wave equation for pure gravity waves with nonlinear correction terms.

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