Foundations of General Relativity and Differential Geometry

  • Marcus Kriele

Part of the Lecture Notes in Physics book series (LNPMGR, volume 59)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Pages 47-149
  3. Pages 255-286
  4. Pages 307-355
  5. Pages 357-382
  6. Pages 383-424
  7. Back Matter
    Pages 425-436

About this book


This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.


Causality Cosmology Gravitation Relativity Spacetime astrophysics general relativity

Authors and affiliations

  • Marcus Kriele
    • 1
  1. 1.Fachbereich Mathematik, Sekr. MA 8-3Technische Universität BerlinBerlinGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66377-5
  • Online ISBN 978-3-540-48354-0
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site