Analytical and Numerical Approaches to Mathematical Relativity

  • Jörg Frauendiener
  • Domenico J.W. Giulini
  • Volker Perlick

Part of the Lecture Notes in Physics book series (LNP, volume 692)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Differential Geometry and Differential Topology

    1. Front Matter
      Pages I-XVII
    2. José L. Flores, Miguel Sánchez
      Pages 79-98
  3. Analytical Methods and Differential Equations

  4. Numerical Methods

    1. Front Matter
      Pages I-XVII
    2. Simonetta Frittelli, Roberto Gómez
      Pages 205-222
    3. Dave Neilsen, Luis Lehner, Olivier Sarbach, Manuel Tiglio
      Pages 223-249
    4. Maria Babiuc, Béla Szilágyi, Jeffrey Winicour
      Pages 251-274
  5. Back Matter
    Pages 275-279

About this book

Introduction

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.

Keywords

Relativity Riemannian geometry differential geometry general relativity mathematical relaivity numerical relativity

Editors and affiliations

  • Jörg Frauendiener
    • 1
  • Domenico J.W. Giulini
    • 2
  • Volker Perlick
    • 3
  1. 1.Institut für Theoretische AstrophysikUniversität TübingenTübingenGermany
  2. 2.Fakultät für Physik und MathematikUniversität FreiburgFreiburgGermany
  3. 3.Institut für Theoretische PhysikTU BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/b11550259
  • Copyright Information Springer 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-31027-3
  • Online ISBN 978-3-540-33484-2
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • About this book