Explicit singular minimal surface solutions for gravitational instantons
Differential Geometry
2018-02-06 v1 General Relativity and Quantum Cosmology
Abstract
We construct a family of instanton metric obtained from new exact singular solutions for minimal surfaces by noticing the correspondence between minimal surfaces in the three dimesional Euclidean space and gravitational instantons possessing two killing vectors. By Calabi's correspondence, we derive a family of explicit maximal surface solution for spacelike surface with zero mean curvature equation.
Keywords
Cite
@article{arxiv.1802.01330,
title = {Explicit singular minimal surface solutions for gravitational instantons},
author = {Weiping Yan},
journal= {arXiv preprint arXiv:1802.01330},
year = {2018}
}
Comments
4 pages