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Ernst Equation and Riemann Surfaces

Olaf Richter, Christian Klein
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.
Autor: Richter, Olaf Klein, Christian
EAN: 9783540285892
Auflage: 2005
Sprache: Englisch
Seitenzahl: 264
Produktart: Gebunden
Verlag: Springer-Verlag GmbH Springer Berlin Heidelberg
Veröffentlichungsdatum: 18.11.2005
Untertitel: Analytical and Numerical Methods
Schlagworte: Differenzialgleichung / Partielle Partielle Differenzialgleichung
Größe: 19 × 160 × 241
Gewicht: 565 g

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