Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory
arXiv:1704.01476 · doi:10.1103/PhysRevD.95.124045
Abstract
We present several new exact solutions in five and higher dimensional Einstein-Maxwell theory by embedding the Nutku instanton. The metric functions for the five-dimensional solutions depend only on a radial coordinate and on two spatial coordinates for the six and higher dimensional solutions. The six and higher dimensional metric functions are convoluted-like integrals of two special functions. We find that the solutions are regular almost everywhere and some spatial sections of the solution describe wormhole handles. We also find a class of exact and nonstationary convoluted-like solutions to the Einstein-Maxwell theory with a cosmological constant.
16 pages, 8 figures, typos corrected, references added
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