Solutions of Einstein's field equations related to Jacobi's inversion problem
General Relativity and Quantum Cosmology
2010-12-23 v1
Abstract
A new class of exact solutions to the axisymmetric and stationary vacuum Einstein equations containing n arbitrary complex parameters and one arbitrary real solution of the axisymmetric three-dimensional Laplace equation is presented. The solutions are related to Jacobi's inversion problem for hyperelliptic Abelian integrals.
Keywords
Cite
@article{arxiv.gr-qc/0302062,
title = {Solutions of Einstein's field equations related to Jacobi's inversion problem},
author = {R. Meinel and G. Neugebauer},
journal= {arXiv preprint arXiv:gr-qc/0302062},
year = {2010}
}
Comments
7 pages, published in 1996 [Phys. Lett. A 210 (1996) 160]