Gravitational instantons and minimal surfaces

1996
2 pages
Published in:
  • Phys.Rev.Lett. 77 (1996) 4702-4703

Citations per year

1996200320102017202401234
Abstract: (APS)
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.
  • gravitation: instanton
  • Einstein equation: solution
  • potential: Kaehler