Analytical and Numerical Approaches to Mathematical Relativity
Editors: Frauendiener, Jörg, Giulini, Domenico J. W., Perlick, Volker (Eds.)
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- About this book
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Today, 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.
- Reviews
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From the reviews:
"The 319th Wilhelm-and-Else-Heraeus Seminar ‘Mathematical Relativity: New Ideas and Developments’ took place in March 2004. Twelve of the invited speakers have expanded their one hour talks into the papers appearing in this volume … . volume contains a wealth of diverse, fascinating material which needs to be perused by research students and others new to this field. Many will wish to buy it, but even if you do not, make sure your institution’s library purchases a copy!" (John M Stewart, Classical and Quantum Gravity, Issue 24, 2007)
- Table of contents (12 chapters)
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A Personal Perspective on Global Lorentzian Geometry
Pages 3-34
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The Space of Null Geodesics (and a New Causal Boundary)
Pages 35-50
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Some Variational Problems in Semi-Riemannian Geometry
Pages 51-77
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On the Geometry of pp-Wave Type Spacetimes
Pages 79-98
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Concepts of Hyperbolicity and Relativistic Continuum Mechanics
Pages 101-116
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Analytical and Numerical Approaches to Mathematical Relativity
- Editors
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- Jörg Frauendiener
- Domenico J. W. Giulini
- Volker Perlick
- Series Title
- Lecture Notes in Physics
- Series Volume
- 692
- Copyright
- 2006
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-33484-2
- DOI
- 10.1007/b11550259
- Hardcover ISBN
- 978-3-540-31027-3
- Softcover ISBN
- 978-3-642-06819-5
- Series ISSN
- 0075-8450
- Edition Number
- 1
- Number of Pages
- XVII, 281
- Topics
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