TitleErnst equation and Riemann surfaces : analytical and numerical methods
Author(s)Christian Klein;Olaf Richter
PublicationBerlin, Springer, 2005.
Description1 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
NotesIncludes 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. �Equations aux d�eriv�ees partielles
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I00636     On Shelf