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Asymptotically flat solutions to the Ernst equation with reflection symmetry

R. Meinel·G. Neugebauer
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Abstract

It is shown that the class of asymptotically flat solutions to the axisymmetric and stationary vacuum Einstein equations with reflection symmetry of the metric is uniquely characterized by a simple relation for the Ernst potential on the upper part of the symmetry axis. This result generalizes a well-known fact from potential theory.

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R. Meinel, G. Neugebauer. 2003-02-27. Asymptotically flat solutions to the Ernst equation with reflection symmetry. https://doi.org/10.1088/0264-9381%2F12%2F8%2F019

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