Solitonic gravitational waves in Bianchi II cosmologies. I - The general framework

Mathematics

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Astronomical Models, Cosmology, Gravitational Waves, Solitary Waves, Space-Time Functions, Inverse Scattering, Matrices (Mathematics), Perturbation Theory

Scientific paper

The inverse scattering method is applied to a class of space-times belonging to the Bianchi types I-VII. Solitonic perturbations corresponding to one or two poles on an arbitrary cosmological background are described in detail. The fundamental matrix psi sub 0 is explicitly calculated for a Bianchi II background, thus providing the first known example of a non-diagonal case.

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