Lecture 9
Topics
- Schwarzschild solution: the geometry for \( r > r_s \)
- Gravitational redshift
- Freely falling paticles: massive particles
- Radial motion analysis using conservation of energy and angular momentum for massive particles
- Freely falling paticles: massless particles
- Christoffel symbols and curvature tensors
- Numerical solution of the geodesic equations
Bibliography
- Lecture slides (1st lecture)
- Lecture slides (2nd lecture)
Practicing
- Problems and their solutions.
- Numerical solution of the geodesic equations: Massive particles (Mathematica notebook, PDF)
- Numerical solution of the geodesic equations: Massless particles (Mathematica notebook, PDF)
- Symbolic computation of the affine connection and curvature tensors (Mathematica notebook, PDF)
- Symbolic computation of the affine connection and curvature tensors usinc xCoba (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...
