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On a class of algebro-geometric solutions to the Ernst equation

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arxiv 2310.19095 v1 pith:JK6OTQ5P submitted 2023-10-29 math-ph math.MP

classification math-phmath.MP
keywords equationernstcharacteristicsclassfunctionssolutionsthetaaccount
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We discuss a class of solutions to the Ernst equation in terms of theta functions with characteristics. We show that it is necessary to take into account a phase factor, which arises from a shift by a lattice vector, and impose conditions on the characteristics of the theta functions in order for the presented function to solve the Ernst equation for all the considered parameters.

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Cited by 2 Pith papers

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