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The General Theory of Relativity

A Mathematical Exposition

  • Anadijiban Das
  • Andrew DeBenedictis

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Anadijiban Das, Andrew DeBenedictis
    Pages 1-104
  3. Anadijiban Das, Andrew DeBenedictis
    Pages 105-228
  4. Anadijiban Das, Andrew DeBenedictis
    Pages 229-275
  5. Anadijiban Das, Andrew DeBenedictis
    Pages 277-349
  6. Anadijiban Das, Andrew DeBenedictis
    Pages 351-418
  7. Anadijiban Das, Andrew DeBenedictis
    Pages 419-464
  8. Anadijiban Das, Andrew DeBenedictis
    Pages 465-536
  9. Anadijiban Das, Andrew DeBenedictis
    Pages 537-567
  10. Back Matter
    Pages 569-678

About this book

Introduction

 The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to:

• tensor analysis
• the special theory of relativity
• the general theory of relativity and Einstein’s field equations
• spherically symmetric solutions and experimental confirmations
• static and stationary space-time domains
• black holes
• cosmological models
• algebraic classifications and the Newman-Penrose equations
• the coupled Einstein-Maxwell-Klein-Gordon equations
• appendices covering mathematical supplements and special topics

Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars.

Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland; Jadavpur University, India; Carnegie-Mellon University, USA; and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory.

Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.

Keywords

Black Holes Einstein-Maxwell-Klein-Gordon Equations Einstein’s Field Equations General Relativity Mathematical Approach General Relativity Text Newman-Penrose Formalism Pseudo-Riemannian Space-Time Manifold

Authors and affiliations

  • Anadijiban Das
    • 1
  • Andrew DeBenedictis
    • 2
  1. 1.Simon Fraser UniversityBurnabyCanada
  2. 2.Simon Fraser UniversityBurnabyCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-3658-4
  • Copyright Information Springer Science+Business Media New York 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-1-4614-3657-7
  • Online ISBN 978-1-4614-3658-4
  • Buy this book on publisher's site
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