On this page, I give my solutions for the exercises of current and recent courses, with possible additional material discussing during my tutoring sessions.
Keep in mind those are my personal notes and are shown here so students get different points of view, please refer to the course website for possible official solutions. They might contain mistakes. If you spot one, feel free to contact me.
The assignment sheets can be found on Moodle. These notes are the lecture summaries I gave at the beginning of each session. They are intended to give only a short overview and illustrate the important formulas needed in the exercises. They have been hastily made and probably contain typos. Refer to the course if you have any doubt. Note also that sessions Alessandro, with whom I share the tutorial, covered will not have files uploaded in this page.
The assignment sheets can be found on the course webpage.
Special Relativity.
Curves and tensors; additional material on manifolds
These are Alessandro's notes; contains additional material on Riemann coordinates for last exercise.
Geodesic as curve extrema, Riemann curvatures; additional material on curvatures and parralel transport.
Includes both Wednesday and Friday exercises.
Lie derivatives and parallel transport.
Symmetries and Killing vectors; Black hole circular geodesics.
Alessandro tutored this session.
Schwarzchild metric and its effective potential.
Gravitational waves, de Donder gauge; contains short review on linearised gravity.
Additional material:
References:
Lecture Notes
Assignment required for completion of the course
References: