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arXiv · 1704.01476

Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory

A. M. Ghezelbash·V. Kumar
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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.

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A. M. Ghezelbash, V. Kumar. 2017-04-05. Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory. https://doi.org/10.1103/physrevd.95.124045

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