Solutions of Schlesinger system and Ernst equation in terms of theta-functions
classification
🌀 gr-qc
keywords
equationsolutionsernstschlesingersystemtermstheta-functionsalgebro-geometric
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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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