Solutions of Schlesinger system and Ernst equation in terms of theta-functions
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We discuss the relationship between Schlesinger system and stationary axisymmetric Einstein's equation on the level of algebro-geometric solutions. In particular, we calculate all metric coefficients corresponding to solutions of Ernst equation in terms of theta-functions.
Keywords
Cite
@article{arxiv.gr-qc/9810041,
title = {Solutions of Schlesinger system and Ernst equation in terms of theta-functions},
author = {D. Korotkin and V. Matveev},
journal= {arXiv preprint arXiv:gr-qc/9810041},
year = {2007}
}