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Lecture Notes in Physics

Analytical and Numerical Approaches to Mathematical Relativity

Editors: Frauendiener, Jörg, Giulini, Domenico J. W., Perlick, Volker (Eds.)

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About this book

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

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)

Table of contents (12 chapters)
  • A Personal Perspective on Global Lorentzian Geometry

    Pages 3-34

    Ehrlich, Paul E.

  • The Space of Null Geodesics (and a New Causal Boundary)

    Pages 35-50

    Low, Robert J.

  • Some Variational Problems in Semi-Riemannian Geometry

    Pages 51-77

    Masiello, Antonio

  • On the Geometry of pp-Wave Type Spacetimes

    Pages 79-98

    Flores, José L. (et al.)

  • Concepts of Hyperbolicity and Relativistic Continuum Mechanics

    Pages 101-116

    Beig, Robert

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-540-33484-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA in USD
  • ISBN 978-3-540-31027-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-642-06819-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analytical and Numerical Approaches to Mathematical Relativity
Editors
  • 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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