The harmonic-map structure of the axially symmetric stationary Einstein equations

Details The harmonic-map structure of the axially symmetric stationary Einstein equations The harmonic-map structure of the axially symmetric stationary Einstein equations

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24..641w&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 6, pp.641-658

Computer Science

1

Scientific paper

We systematically review the solutions of the vacuum Einstein equations for the axially symmetric stationary case which are harmonic maps. In particular, we show that the interesting part of the Kerr solution is a composition of a harmonic map intoH {1/2} with a totally geodesic map fromH {1/2} into SS(1,1). We also point out, relying on Sanchez' results, that there is an analogous structure for the Lorentz-domain cases involving cylindrical gravitational waves and colliding plane waves.

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