Ernst Equation and Riemann Surfaces : Analytical and Numerical Methods

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...

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Bibliografski detalji
Glavni autori: Klein, Christian, Richter, Olaf (Autor)
Daljnji autori: Klein, Christian, 19..-...., mathématicien (Voditelj izdanja), Richter, Olaf, 19..-2003 (Voditelj izdanja)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdanje:1st ed. 2005.
Serija:Lecture Notes in Physics 685
Teme:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Ernst Equation and Riemann Surfaces, Texte imprimé, 9783642066771
• Ernst Equation and Riemann Surfaces, Texte imprimé, 9783540814948
• Ernst equation and Riemann surfaces, analytical and numerical methods, Christian Klein, Olaf Richter, 2005, Berlin, Springer, 1 vol. (X-249 p.), Lecture notes in physics, 3-540-28589-X
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505 1 |a 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. 
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520 |a 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. 
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