Classification of an infinite series of static solutions to the vacuum Einstein equations

Computer Science

Scientific paper

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Scientific paper

We propose a classification of an infinite series of the static
solutions to the vacuum Einstein equation by means of their soliton
number and the real and/or complex pole trajectories. We also show that
in the 4-soliton solution there appears an intriguing ring solution of
which the curvature invariant has a finite limit at the rings.

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