Penrose Diagrams: Spacetime Visualization

This lecture covers the concept of Penrose diagrams, which are used to visualize the entire spacetime of a black hole. Starting with the Kruskal diagram, the instructor explains how to use these diagrams to represent Minkowski spacetime and Schwarzschild spacetime. The lecture delves into the importance of keeping light cones at 45 degrees and using specific coordinates to depict spacetime accurately. It also discusses the conformal compactification of Minkowski spacetime and the Einstein static Universe. The presentation concludes with insights into the differences between Penrose diagrams of stars and black holes, emphasizing the eternal nature of black holes formed by gravitational collapse.