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Solutions of Einstein's field equations related to Jacobi's inversion problem

R. Meinel·G. Neugebauer
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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.

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R. Meinel, G. Neugebauer. 2003-02-14. Solutions of Einstein's field equations related to Jacobi's inversion problem. https://doi.org/10.1016/s0375-9601(96)80003-x

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