Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods (Lecture Notes in Physics, 685, Band 685) - Hardcover

Klein, Christian; Richter, Olaf

 
9783540285892: Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods (Lecture Notes in Physics, 685, Band 685)
Hardcover
ISBN 10: 354028589X ISBN 13: 9783540285892
Verlag: Springer, 2005

Inhaltsangabe

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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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
354028589X
ISBN 13 
9783540285892
Einband
Gebundene Ausgabe
Anzahl der Seiten
259
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9783642066771: Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods (Lecture Notes in Physics, Band 685)

Vorgestellte Ausgabe

ISBN 10:  3642066771 ISBN 13:  9783642066771
Verlag: Springer, 2010
Softcover