Lecture 5
Topics
- Affine Connections
- Derivative operators
- Levi-Civita connections, Christoffel symbols
- Directional covariant derivatives
- Parallel transport
- Geodesics: affine parameter, uniqueness
- Extremization of proper time for timelike geodesics
- Riemann normal coordinates
- Examples: Flat space cosmology, wormhole geometry
Bibliography
- Lecture slides:Affine connections and covariant derivatives
- Lecture slides:Geodesics
Practicing
- Problems:Affine connections and covariant derivatives
- Problems:Geodesics (solutions, Mathematica notebook+ pdf)
Videos
Related video lectures by the instructor. There is partial overlap with the course curriculum, use at your own discretion! Check the video lectures page for details...
