This course will introduce General Relativity from a physics point of view, emphasizing a modern perspective. I will begin with a review of special relativity, including the case of constant acceleration. Then I will motivate curved spacetime, the covariant derivative, and the Christoffel connection. I will derive the equation for a geodesic, the analogue of a straight line in curved spacetime. From there, I will develop the Riemann curvature tensor, and show how it encodes useful physics like tidal forces and geodesic deviation. Then I will introduce the famous Einstein equations and show how they can be used to study equations for stars and black holes. I will showcase some of the experimental successes of GR, before finishing up with a description of the origin of Einstein's equations starting from an action principle. (For more details, please see the syllabus.)
Classes are MR11 in MP134, and tutorials are F1 in MP137. Prof. Peet's office hour will be in their office, MP1118, at a time to be decided together in the first week of class.
These will be posted in reverse chronological order, to make the latest ones easiest to find.