Global solutions in gravity. Euclidean signature
arXiv:0808.1559
Abstract
We consider a wide class of two-dimensional metrics having one Killing vector. The method is proposed for the construction of maximally extended surfaces with the given Riemannian metric which is the analog of the conformal block method for two-dimensional Lorentzian signature metrics. The Schwarzschild solution is considered as an example.
16 pages, 6 figures