A family of cylindrically symmetric solutions to Einstein-Maxwell equations
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A family of cylindrically symmetric new solutions to Einstein-Maxwell equations is obtained by using the Newman-Penrose formalism. The electromagnetic fields in this family are nonnull, and the Weyl tensor of the metrics is of Petrov type II.
KeywordsElectromagnetic Field Differential Geometry Symmetric Solution Weyl Tensor Petrov Type
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- 1.Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).Google Scholar