Differential Geometry Class Notes
General Relativity, by Robert M. Wald,
University of Chicago Press (1984).

Copies of the classnotes are on the internet in PDF format as given below. The "Proofs of Theorems" files were prepared in Beamer and they contain proofs of the results from the class notes. The "Printout of Proofs" are printable PDF files of the Beamer slides without the pauses. These notes and supplements have not been classroom tested (and so may have some typographical errors). These notes are based on the first part of Wald's General Relativity and excludes the content of Part II (Advanced Topics) of the book.

  1. Chapter 1. Introduction.
  2. Chapter 2. Manifolds and Tensor Fields.
  3. Chapter 3. Curvature.
  4. Chapter 4. Einstein's Equation.
  5. Chapter 5. Homogeneous, Isotropic Cosmology.
  6. Chapter 6. The Schwarzschild Solution.
  7. Appendix A. Topological Spaces.
  8. Appendix B. Differential Forms, Integration, and Frobenius's Theorem.
  9. Appendix C. Maps of Manifolds, Lie Derivatives, and Killing Fields.

Chapter 1. Introduction.

Chapter 2. Manifolds and Tensor Fields.

Chapter 3. Curvature.

Chapter 4. Einstein's Equation.

Chapter 5. Homogeneous, Isotropic Cosmology.

Chapter 6. The Schwarzschild Solution.

Appendices.

Additional Chapters from Part II, Advanced Topics.


Return to Bob Gardner's home page