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Ernst equation and Riemann surfaces : analytical and numerical methods / Christian Klein, Olaf Richter.

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Author/Creator:
Klein, Christian.
Language:
English.
Publication date:
2005
Imprint:
Berlin ; New York : Springer, 2005.
Format:
  • Book
  • x, 249 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
  • Introduction.- The Ernst Equation.- Riemann-Hilbert 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)
Note:
Also available on the World Wide Web.
Contributor:
Richter, Olaf.
Series:
Lecture notes in physics, 0075-8450 ; 685
Lecture notes in physics 685.
Subjects:
ISBN:
354028589X
9783540285892
3642066771
9783642066771

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