Bäcklund transformations and exact solutions of the stationary axially symmetric Einstein equations.

Details Bäcklund transformations and exact solutions of the stationary axially symmetric Einstein equations. Bäcklund transformations and exact solutions of the stationary axially symmetric Einstein equations.

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..989k&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 12, pp.989-1002

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5

Gravitation:Relativity

Scientific paper

The Bäcklund transformations of the self-dual Yang-Mills fields are used to derive exact solutions of the stationary axially symmetric Einstein equations. Three solutions which belong to an infinite series of such solutions are explicitly calculated, the first of which is the Lewis solution. Also the first of another infinite series of solutions is calculated, which for some value of a parameter becomes the Papapetrou solution.

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