Coordinate Transformations in General Relativity

This lecture focuses on exercises related to coordinate transformations in general relativity. The problems range from conceptual understanding to straightforward calculations, emphasizing the importance of both aspects for the exam. The exercises cover topics such as trajectories of rockets with constant acceleration, different observers using distinct coordinates, and the transformation of Christopher symbols to derive the transformation law of the system. By gradually increasing knowledge and building upon previous results, students will gain insights into the geometric properties of coordinates and the freedom of choosing coordinates in general relativity.