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

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

2003-02-14

arxiv.org/abs/gr-qc/0302062v1

Phys.Lett.A210:160,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, published in 1996 [Phys. Lett. A 210 (1996) 160]

Scientific paper

10.1016/S0375-9601(96)80003-X

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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