Global Solutions in Gravity. Lorentzian signature
General Relativity and Quantum Cosmology
2011-07-19 v1
Abstract
The constructive method of conformal blocks is developed for the construction of global solutions for two-dimensional metrics having one Killing vector. The method is proved to yeild a smooth universal covering space with a smooth pseudo-Riemannian metric. The Schwarzschild, Reisner--Nordstrom solutions, extremal black hole, dilaton black hole, and constant curvature surfaces are considered as examples.
Cite
@article{arxiv.gr-qc/9907088,
title = {Global Solutions in Gravity. Lorentzian signature},
author = {M. O. Katanaev},
journal= {arXiv preprint arXiv:gr-qc/9907088},
year = {2011}
}
Comments
30 pages, 9 figures, to be published in Bogolubov's memorial volume