Bretón, Nora; García, Alberto; Macías, Alfredo; Yáñez, Gustavo Colliding plane waves in terms of Jacobi functions. (English) Zbl 0927.53049 J. Math. Phys. 39, No. 11, 6051-6065 (1998). 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. Cited in 3 Documents MSC: 53Z05 Applications of differential geometry to physics 33C90 Applications of hypergeometric functions 83C35 Gravitational waves 83C22 Einstein-Maxwell equations Keywords:noncollinear colliding wave solutions; Einstein-Maxwell equations; Jacobi functions PDFBibTeX XMLCite \textit{N. Bretón} et al., J. Math. Phys. 39, No. 11, 6051--6065 (1998; Zbl 0927.53049) Full Text: DOI arXiv References: [1] DOI: 10.1038/229185a0 · doi:10.1038/229185a0 [2] DOI: 10.1063/1.1665972 · doi:10.1063/1.1665972 [3] DOI: 10.1098/rspa.1984.0108 · Zbl 0548.53036 · doi:10.1098/rspa.1984.0108 [4] DOI: 10.1098/rspa.1985.0033 · Zbl 0561.53065 · doi:10.1098/rspa.1985.0033 [5] DOI: 10.1063/1.527427 · Zbl 0638.58030 · doi:10.1063/1.527427 [6] DOI: 10.1063/1.527698 · Zbl 0657.35117 · doi:10.1063/1.527698 [7] DOI: 10.1063/1.528007 · Zbl 0684.58042 · doi:10.1063/1.528007 [8] DOI: 10.1007/BF00767279 · Zbl 0611.53065 · doi:10.1007/BF00767279 [9] DOI: 10.1007/BF00767280 · Zbl 0611.53064 · doi:10.1007/BF00767280 [10] DOI: 10.1098/rspa.1988.0068 · doi:10.1098/rspa.1988.0068 [11] DOI: 10.1016/0375-9601(87)90866-8 · doi:10.1016/0375-9601(87)90866-8 [12] DOI: 10.1063/1.526385 · doi:10.1063/1.526385 [13] DOI: 10.1098/rspa.1985.0107 · Zbl 0574.53054 · doi:10.1098/rspa.1985.0107 [14] DOI: 10.1063/1.524568 · doi:10.1063/1.524568 [15] DOI: 10.1007/BF01019142 · doi:10.1007/BF01019142 [16] DOI: 10.1098/rspa.1987.0130 · doi:10.1098/rspa.1987.0130 [17] DOI: 10.1103/PhysRevD.57.3457 · doi:10.1103/PhysRevD.57.3457 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.