Title  Ernst equation and Riemann surfaces : analytical and numerical methods 
Author(s)  Christian Klein;Olaf Richter 
Publication  Berlin, Springer, 2005. 
Description  1 online resource (x, 249 p.) : ill 
Abstract Note  "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."Jacket 
Notes  Includes bibliographical references (p. [237]245) and index 
Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK  SPRINGER
4. EINSTEIN FIELD EQUATIONS
5. Einstein's quations du champ d'
6. Mathematical Methods in Physics
7. PHYSICS
8. Relativity and Cosmology
9. RIEMANN SURFACES
10. Riemann, Surfaces de
11. ï¿½Equations aux dï¿½erivï¿½ees partielles

Item Type  eBook 