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      Elliptic solutions of stationary axisymmetric Einstein equations

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      Author
      Korotkin, D.A.
      Date
      1993
      Source Title
      Classical and Quantum Gravity
      Print ISSN
      0264-9381
      Volume
      10
      Issue
      12
      Pages
      2587 - 2613
      Language
      English
      Type
      Article
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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.
      Permalink
      http://hdl.handle.net/11693/26022
      Published Version (Please cite this version)
      http://dx.doi.org/10.1088/0264-9381/10/12/018
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      • Department of Mathematics 614
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