Gravitational Instantons and Minimal Surfaces

Details Gravitational Instantons and Minimal Surfaces Gravitational Instantons and Minimal Surfaces

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvl..77.4702n&link_type=abstract

Physical Review Letters, Volume 77, Issue 23, December 2, 1996, pp.4702-4703

Physics

8

Scientific paper

We show that for every minimal surface in E3 there is a
gravitational instanton, an exact solution of the Einstein field
equations with Euclidean signature and anti-self-dual curvature. The
explicit metric establishing this correspondence is presented and a new
class of exact solutions are obtained.

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