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Colliding plane waves in terms of Jacobi functions. (English) Zbl 0927.53049

Summary: We present a general class of noncollinear colliding wave solutions of the Einstein-Maxwell equations given in terms of fourth order polynomials, which in turn can be expressed through Jacobi functions depending on generalized advanced and retarded time coordinates. The solutions are characterized by six free parameters. The parameters can be chosen in such a way as to avoid the generic focusing singularity.

MSC:

53Z05 Applications of differential geometry to physics
33C90 Applications of hypergeometric functions
83C35 Gravitational waves
83C22 Einstein-Maxwell equations
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References:

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