Solutions of Schlesinger system and Ernst equation in terms of theta-functions

Details Solutions of Schlesinger system and Ernst equation in terms of theta-functions Solutions of Schlesinger system and Ernst equation in terms of theta-functions

1998-10-12

arxiv.org/abs/gr-qc/9810041v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We discuss the relationship between Schlesinger system and stationary
axisymmetric Einstein's equation on the level of algebro-geometric solutions.
In particular, we calculate all metric coefficients corresponding to solutions
of Ernst equation in terms of theta-functions.

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