Asymptotically flat solutions to the Ernst equation with reflection symmetry
arXiv:gr-qc/0302114 · doi:10.1088/0264-9381/12/8/019
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.
5 pages, published in 1995 [Class. Quantum Grav. 12 (1995) 2045]
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