Elliptic solutions of stationary axisymmetric Einstein equations
Date
1993
Authors
Korotkin, D.A.
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Advisor
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Source Title
Classical and Quantum Gravity
Print ISSN
0264-9381
Electronic ISSN
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Volume
10
Issue
12
Pages
2587 - 2613
Language
English
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Abstract
In this paper we present a more transparent version of an earlier construction of genus g algebraic-geometric solutions of the Einstein equation. For one of the metric coefficients we obtain a new expression that allows us to construct the coefficient in terms of derivatives of the function Psi ( lambda ) (solution of associative linear system). Finally, we proceed with an analysis of the two simplest genus 1 (elliptic) solutions.