GR2 · Covariant derivatives & geodesics
A 18-module path through gr2 · covariant derivatives & geodesics, in study order from foundations to the frontier.
Modules
- Parallel Transport
- The Affine Connection
- Covariant Derivative
- Christoffel Symbols
- Metric Compatibility
- Torsion Tensor
- The Levi-Civita Connection
- The Geodesic Equation
- Affine Parameters
- Geodesics as Extremal Paths
- Geodesic Deviation Equation
- Tidal Forces in General Relativity
- Killing Vectors
- Conserved Quantities Along Geodesics
- Killing Tensors and Hidden Symmetries
- The Principle of Minimal Coupling
- Fermi-Walker Transport
- Non-Affine Geodesic Parametrization