On a class of algebro-geometric solutions to the Ernst equation
Mathematical Physics
2023-10-31 v1 math.MP
Abstract
We discuss a class of solutions to the Ernst equation in terms of theta functions with characteristics. We show that it is necessary to take into account a phase factor, which arises from a shift by a lattice vector, and impose conditions on the characteristics of the theta functions in order for the presented function to solve the Ernst equation for all the considered parameters.
Keywords
Cite
@article{arxiv.2310.19095,
title = {On a class of algebro-geometric solutions to the Ernst equation},
author = {Eddy B. de Leon},
journal= {arXiv preprint arXiv:2310.19095},
year = {2023}
}