Asymptotically flat solutions to the Ernst equation with reflection symmetry

Details Asymptotically flat solutions to the Ernst equation with reflection symmetry Asymptotically flat solutions to the Ernst equation with reflection symmetry

2003-02-27

arxiv.org/abs/gr-qc/0302114v1

Class.Quant.Grav.12:2045,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, published in 1995 [Class. Quantum Grav. 12 (1995) 2045]

Scientific paper

10.1088/0264-9381/12/8/019

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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