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Gravitational waves in the hyperspace? (English) Zbl 1170.83353

Summary: In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the hyperspace formalism that has been recently introduced in some papers in the literature, with the goal of a better understanding of manifolds dimensionality also in a cosmological framework, is discussed. Using the concept of refractive index in the hyperspace, spherical solutions are given and the propagation of GWs in a region of the hyperspace with a unitary refractive index is also discussed. Propagation phenomena associated to the higher dimensionality are proposed, possibly including nonlinear effects. Further and accurate studies in this direction are needed.

MSC:

83C35 Gravitational waves
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