Ernst Equation and Riemann Surfaces Analytical and Numerical Methods /

• Main Author: Klein, Christian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Physics, 685
• Subjects: Physics.; Differential geometry.; Gravitation.; Mathematical Methods in Physics.; Classical and Quantum Gravitation, Relativity Theory.; Differential Geometry.

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...

Table of Contents:

• Introduction
• The Ernst Equation
• Riemann-Hilbert Problem and Fay's Identity
• Analyticity Properties and Limiting Cases
• Boundary Value Problems and Solutions
• Hyperelliptic Theta Functions and Spectral Methods
• Physical Properties
• Open Problems
• Riemann Surfaces and Theta Functions
• Ernst Equation and Twister Theory
• Index.