Charged String Solutions of the Einstein-Maxwell Equations in Higher Dimensions

Physics

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Scientific paper

We consider solutions of the Einstein-Maxwell equations with a charged string source in 1 + 4 dimensions. The uniform extension of the Reissner-Nordstrom metric to the extra dimension is shown to be one of such solutions. The Maxwell fields associating this metric turn out to contain magnetic as well as electric monopole fields as seen in the 1+3 dimensions. The magnetic charge per unit length of the source string is the same as that of the electric charge per unit length in this case. We try to find solutions generalizing the above solution to the arbitrary electric and magnetic charge case. So far we have only been able to find the asymptotic forms of such solutions in the large r region and they are presented here.

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