On soliton solutions to the vacuum Einstein equations obtained from a general seed solution

Physics

Scientific paper

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Cosmology, Einstein Equations, Inverse Scattering, Solitary Waves, Space-Time Functions, Quadratures, Riccati Equation, Vacuum, Wave Propagation

Scientific paper

The Belinsky-Zakharov version of the inverse scattering method is
studied for a general seed solution. The finding of soliton solutions is
reduced to the integration of two uncoupled Riccati equations and two
quadratures. Special cases are exhibited.

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