Perturbations of solutions of the Einstein equations which represent colliding plane waves

Physics

Scientific paper

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Exact Solutions, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

Using expressions for the complete perturbations of solutions of the Einstein equations with sources in terms of potentials, the perturbations of the space-time representing the collision of plane polarized plane gravitational waves possibly coupled with electromagnetic waves or with neutrinos are obtained in the regions prior to the collision; in the case where there is a background electromagnetic field, the problem is reduced to solve a system of two second-order linear ordinary differential equations for two complex scalar functions, called the master equations. When the source is a neutrino field, the master equations are a system of four first-order linear ordinary differential equations for four complex scalar functions.

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