Lecture 7
Topics
- The Stress-Energy Tensor
- Conservation laws in Special Relativity
- Stress Energy tensor for the perfect fluid, and the electromagnetic field
- Isometries and conservation laws in curved spacetime
- Killing vector fields (KVF)
- Conserved \(\xi_\mu u^\mu \) along geodesics
- Conservation of \( J^\mu = \xi_\nu T^{\nu\mu} \)
- Conservation of energy/momentum when the metric admits timelike/spacelike KVF
- KVF of the Schwarzschild metric
- Conservation of energy and angular momentum along geodesics of the Schwarzschild metric
Bibliography
Practicing
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...
