Solutions of Einstein's field equations related to Jacobi's inversion problem
arXiv:gr-qc/0302062 · doi:10.1016/S0375-9601(96)80003-X
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.
7 pages, published in 1996 [Phys. Lett. A 210 (1996) 160]