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Phys. Rev. Lett. 77, 4702–4703 (1996)

Gravitational Instantons and Minimal Surfaces

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Y. Nutku
Department of Physics, TÜBİTAK - Marmara Research Center, Research Institute for Basic Sciences, 41470 Gebze, Turkey

Received 3 October 1996; published in the issue dated 2 December 1996

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.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4702
DOI:
10.1103/PhysRevLett.77.4702
PACS:
04.20.Jb