Penrose Diagrams - Black Holes & General Relativity Lecture by William Schlief

As a student in a Physics 8900 Advanced Topics: Black Holes course at the University of Georgia, I gave a lecture introducing Penrose-Carter Diagrams.

I began with a brief review of the Kruskal Extension, moved on to deriving a conformal treatment of the Minkowski Metric, plotted the associated Penrose Diagram, then drew and discussed a Penrose Diagram of the Schwarzschild Solution.

I should note that I am not a graduate student, rather an undergraduate who had the opportunity to enroll in a graduate-level course.

Citations:
Sean M. Carroll - General Relativity Lecture Notes - "7. The Schwarzschild Solution and Black Holes" 1997.
M. D. Kruskal - "Maximal Extension of the Schwarzschild Metric" 1960
Roger Penrose - "Conformal Treatment of Infinity" 1964
B. Carter - "Complete Analytic Extension of the Symmetry Axis of Kerr's Solution of Einstein's Equations" 1965

TIMELINE:
0:00 Lecture Overview
0:26 Kruskal Extension Review
2:33 Minkowski Derivation
17:10 Minkowski Penrose Diagram
20:50 Schwarzschild Penrose Diagram
27:05 Relevant Papers
31:54 Q&A