Axisymmetric MP solutions

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Written by Jiří Ryzner

We first introduce two distinct solutions of Einstein-Maxwell(-dilaton) equations. In addition to being axially symmetric and static, the solutions are reflection symmetric with respect to some special planes and exhibit a discrete translational symmetry along the axis. We discuss their properties and compare them to a Majumdar-Papapetrou solution involving two black holes, which has the same continuous symmetries.