GRAVITATION AND COSMOLOGY
Chapter 3: Curvature

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TEXTBOOK: Spacetime and Geometry - An Introduction to General Relativity, by Sean M. Carroll

TABLE OF CONTENTS

  1. Overview
  2. Covariant Derivatives
  3. Parallel Transport and Geodesics
  4. Properties of Geodesics
  5. The Expanding Universe Revisited
  6. The Riemann Curvature Tensor
  7. Properties of the Riemann Tensor
  8. Symmetries and Killing Vectors
  9. Maximally Symmetric Spaces
  10. Geodesic Deviation

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