Ernst equation and riemann surfaces
2 - 3 weken
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.
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.
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.
- 1 Bekijk alle specificaties
Taal: en
Bindwijze: Hardcover
Oorspronkelijke releasedatum: 18 november 2005
Aantal pagina's: 264
Illustraties: Nee
Hoofdauteur: Christian Klein
Tweede Auteur: Olaf Richter
Co Auteur: Olaf Richter
Hoofduitgeverij: Springer
Originele titel: Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods
Editie: 2005 ed.
Extra groot lettertype: Nee
Product breedte: 155 mm
Product lengte: 235 mm
Studieboek: Nee
Verpakking breedte: 155 mm
Verpakking hoogte: 19 mm
Verpakking lengte: 235 mm
Verpakkingsgewicht: 561 g
EAN: 9783540285892