The Dirac Equation in Curved Spacetime

A Guide for Calculations

  • Peter Collas
  • David Klein

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Peter Collas, David Klein
    Pages 1-3
  3. Peter Collas, David Klein
    Pages 5-13
  4. Peter Collas, David Klein
    Pages 15-30
  5. Peter Collas, David Klein
    Pages 31-40
  6. Peter Collas, David Klein
    Pages 41-48
  7. Peter Collas, David Klein
    Pages 49-54
  8. Peter Collas, David Klein
    Pages 55-63
  9. Back Matter
    Pages 65-109

About this book


This book explains and develops the Dirac equation in the context of general relativistic quantum mechanics in a range of spacetime dimensions. It clarifies the subject by carefully pointing out the various conventions used and explaining how they are related to each other. The prerequisites are familiarity with general relativity and an exposure to the Dirac equation at the level of special relativistic quantum mechanics, but a review of this latter topic is given in the first chapter as a reference and framework for the physical interpretations that follow. Worked examples and exercises with solutions are provided. Appendices include reviews of topics used in the body of the text. This book should benefit researchers and graduate students in general relativity and in condensed matter.


Dirac Equation in Special Relativity Dirac Equation in General Relativity Gamma Matrices Spinorial Covariant Derivative CARTAN software Dirac Equation and curved graphene Fock-Ivanenko coefficients Newman-Penrose spin coefficients

Authors and affiliations

  • Peter Collas
    • 1
  • David Klein
    • 2
  1. 1.Department of Physics and AstronomyCalifornia State University, NorthridgeNorthridgeUSA
  2. 2.Department of Mathematics and Interdisciplinary Research Institute for the SciencesCalifornia State University, NorthridgeNorthridgeUSA

Bibliographic information