November 3, 2008
Parallel transport in curved space.
A gyroscope parallel transports it's axis of spin.
Define the Riemann curvature tensor and the Ricci tensor.
In general relativity, mass alters geometry, and curved geometry deflects mass from moving in a straight line.
The continuity equation for charge.
The continuity equation for 4-momentum is the vanishing divergence of the energy momentum tensor.
- Parallel transport
- Riemann curvature tensor
- Ricci tensor
- Continuity equation
- Energy momentum tensor