Gravitational Instantons and Minimal Surfaces

Y. Nutku
Phys. Rev. Lett. 77, 4702 – Published 2 December 1996
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Abstract

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.

  • Received 3 October 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.4702

©1996 American Physical Society

Authors & Affiliations

Y. Nutku

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

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Issue

Vol. 77, Iss. 23 — 2 December 1996

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