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

Klein, Christian; Richter, Olaf

 
9783642066771: Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods (Lecture Notes in Physics, Band 685)
Softcover
ISBN 10: 3642066771 ISBN 13: 9783642066771
Verlag: Springer, 2010

Inhaltsangabe

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. 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.

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Über die Autorin bzw. den Autor

Tianshu Liu is a Professor within the Department of Mechanical and Aerospace Engineering
Western Michigan University, Kalamazoo, MI; John Sullivan is a Professor in the School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN; Keisuke Asai is Professor within the Department of Aerospace Engineering, Graduate School of Engineering, Tohoku University, Sendai, Japan; and Dr. Christian Klein is with the German Aerospace Center (DLR) of the Institute of Aerodynamics and Flow Technology Experimental Methods, Göttingen, Germany.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642066771
ISBN 13 
9783642066771
Einband
Taschenbuch
Anzahl der Seiten
264
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Weitere beliebte Ausgaben desselben Titels

9783540285892: Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods (Lecture Notes in Physics, 685, Band 685)

Vorgestellte Ausgabe

ISBN 10:  354028589X ISBN 13:  9783540285892
Verlag: Springer, 2005
Hardcover