Ernst equation and Riemann surfaces : analytical and numerical methods
 Author/Creator
 Klein, Christian.
 Language
 English.
 Imprint
 Berlin ; New York : Springer, 2005.
 Physical description
 x, 249 p. : ill. ; 24 cm.
 Series
 Lecture notes in physics 685.
Access
Available online
 www.springerlink.com
 www.springerlink.com SpringerLink
 www.myilibrary.com MyiLibrary

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QA333 .K54 2005

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QA333 .K54 2005
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Contributors
 Contributor
 Richter, Olaf.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Introduction. The Ernst Equation. RiemannHilbert Problem and Fay's Identity. Analyticity Properties and Limiting Cases. Boundary Value Problems and Solutions. Hyperelliptic Theta Functions and Spectral Methods. Physical Properties. Open Problems. Riemann Surfaces and Theta Functions. Ernst Equation and Twister Theory. Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Exact solutions to Einstein's equations have been useful for the understanding of general relativity in many respects. They have led to physical concepts as black holes and event horizons and helped to visualize interesting features of the theory. In addition they have been used to test the quality of various approximation methods and numerical codes. The most powerful solution generation methods are due to the theory of Integrable Systems. In the case of axisymmetric stationary spacetimes the Einstein equations are equivalent to the completely integrable Ernst equation. In this volume, the solutions to the Ernst equation associated to Riemann surfaces are studied in detail and physical and mathematical aspects of this class are discussed both analytically and numerically.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2005
 Responsibility
 Christian Klein, Olaf Richter.
 Series
 Lecture notes in physics, 00758450 ; 685
 Note
 Also available on the World Wide Web.
 ISBN
 354028589X
 9783540285892
 3642066771
 9783642066771