The Geometry of Spacetime

[ResearchGate] [Time and Entropy] [An Introduction to GR]   by Sean Carroll [Santa Fe Institute]

[Answers to Exercises] [errata]

1. Special Relativity and Flat Spacetime [Exercises01]
2. Manifolds       [Exercises02]   
3. Curvature       [Exercises03]   [Killing fields]   [hyperbolic plane]   [Jacobi field]
4. Gravitation     [Exercises04]
5. The Schwarzschild Solution       [Exercises05]
6. More general Black Holes      [Exercises06]
7. Perturbation Theory and Gravitational Radiation      [Exercises07]
8. Cosmology      [Exercises08]
9. Quantum Field Theory in Curved Spacetime