English

Global solutions in gravity. Euclidean signature

General Relativity and Quantum Cosmology 2008-08-12 v1

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.

Keywords

Cite

@article{arxiv.0808.1559,
  title  = {Global solutions in gravity. Euclidean signature},
  author = {M. O. Katanaev},
  journal= {arXiv preprint arXiv:0808.1559},
  year   = {2008}
}

Comments

16 pages, 6 figures

R2 v1 2026-06-21T11:09:28.008Z