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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Bibliografiske detaljer
Auteurs principaux: Klein, Christian, Richter, Olaf (Auteur)
Andre forfattere: Klein, Christian, 19..-...., mathématicien (Directeur de la publication), Richter, Olaf, 19..-2003 (Directeur de la publication)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2005.
Serier:Lecture Notes in Physics 685
Fag:
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Kommentar: Archives Springer e-books (Licence nationale)
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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
Beskrivelse
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.
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Archives Springer e-books (Licence nationale)
ISBN:9783540315131
ISSN:1616-6361
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