General Relativity for Mathematicians

  • Rainer K. Sachs
  • Hung-Hsi Wu

Part of the Graduate Texts in Mathematics book series (GTM, volume 48)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Rainer K. Sachs, Hung-Hsi Wu
    Pages 1-16
  3. Rainer K. Sachs, Hung-Hsi Wu
    Pages 17-35
  4. Rainer K. Sachs, Hung-Hsi Wu
    Pages 36-59
  5. Rainer K. Sachs, Hung-Hsi Wu
    Pages 60-110
  6. Rainer K. Sachs, Hung-Hsi Wu
    Pages 111-123
  7. Rainer K. Sachs, Hung-Hsi Wu
    Pages 124-158
  8. Rainer K. Sachs, Hung-Hsi Wu
    Pages 159-215
  9. Rainer K. Sachs, Hung-Hsi Wu
    Pages 216-249
  10. Rainer K. Sachs, Hung-Hsi Wu
    Pages 250-265
  11. Rainer K. Sachs, Hung-Hsi Wu
    Pages 266-272
  12. Back Matter
    Pages 273-291

About this book


This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva­ tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back­ ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).


Manifold Relativity Relativitätstheorie general relativity geometry mathematics

Authors and affiliations

  • Rainer K. Sachs
    • 1
  • Hung-Hsi Wu
    • 2
  1. 1.Department of PhysicsUniversity of California at BerkeleyBerkeleyUSA
  2. 2.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1977
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9905-9
  • Online ISBN 978-1-4612-9903-5
  • Series Print ISSN 0072-5285
  • About this book