TitleAnalytical and Numerical Approaches to Mathematical Relativity
Author(s)Frauendiener, J??rg;Giulini, Domenico J. W;Perlick, Volker
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXVII, 281 p : online resource
Abstract NoteToday, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. COMPLEX MANIFOLDS 3. DIFFERENTIAL GEOMETRY 4. EBOOK 5. EBOOK - SPRINGER 6. GRAVITATION 7. Manifolds (Mathematics) 8. Manifolds and Cell Complexes (incl. Diff.Topology) 9. Mathematical Methods in Physics 10. Numerical and Computational Physics, Simulation 11. PHYSICS
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