Ernst Equation and Riemann Surfaces

Analytical and Numerical Methods
Softcover version of original hardcover Auflage 2005
ISBN: 978-3-642-06677-1
Verlag: Springer

Buch, Englisch, 249 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 406 g

Reihe: Lecture Notes in Physics

Exact solutions to Einstein’s equations have been useful for the understanding of general relativity in many respects. They have led to such physical concepts as black holes and event horizons, and helped to visualize interesting features of the theory. This volume studies the solutions to the Ernst equation associated to Riemann surfaces in detail. In addition, the book discusses the physical and mathematical aspects of this class analytically as well as numerically.

Zielgruppe

Research

Autoren/Hrsg.

Klein, Christian

Richter, Olaf

Fachgebiete

• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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.