Soliton collision in cosmologies with matter

Physics

Scientific paper

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Cosmology, Gravitational Waves, Inverse Scattering, Matter (Physics), Solitary Waves, Wave Interaction, Barotropic Flow, Dimensional Analysis, Einstein Equations, Scattering, Space-Time Functions, Stress Tensors

Scientific paper

A family of exact solutions of the four-dimensional Einstein field equations is obtained by means of the application of the inverse scattering technique followed by a Kaluza-Klein dimensional reduction. These solutions describe the collision of gravitational solitons on four-dimensional Friedmann-Robertson-Walker backgrounds with a material content consisting of a perfect fluid with a barotropic equation of state. The behavior of the stress-energy tensor is investigated, and it is shown that the collision can form voids and halos. Applications to Brans-Dicke theory and the problem of geodesic focusing are also considered.

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