General minimal surface solution for gravitational instantons

Dec, 1996
7 pages
Published in:
  • Phys.Rev.D 56 (1997) 1332-1333
Report number:
  • PRINT-97-149 (TUBITAK)

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Abstract: (APS)
We construct the general instanton metric obtained from Weierstrass’ general local solution for minimal surfaces using the correspondence between minimal surfaces in three-dimensional Euclidean space and gravitational instantons admitting two Killing vectors. The resulting metric contains one arbitrary analytic function and we show that it can be transformed to the Gibbons-Hawking form of an instanton metric that was reported earlier.
  • 04.20.Jb
  • gravitation: instanton
  • space-time
  • analytic properties