Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods / Edition 1

Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods / Edition 1

by Christian Klein, Olaf Richter
     
 

View All Available Formats & Editions

ISBN-10: 3642066771

ISBN-13: 9783642066771

Pub. Date: 12/15/2010

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783642066771
Publisher:
Springer Berlin Heidelberg
Publication date:
12/15/2010
Series:
Lecture Notes in Physics Series, #685
Edition description:
Softcover reprint of hardcover 1st ed. 2005
Pages:
249
Product dimensions:
9.21(w) x 6.14(h) x 0.55(d)

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >