James Cook's General Relativity Page Homepage
Some problems for aspiring Physicsists to try:

• Mission 1
• Mission 2

I am following Sean Carroll's text on General Relativity for this course for the most part, although I do take a few digressions and I will not cover some of the more technical Chapters in Carrol. Our focus is mostly on the essential core of the the theory and how to set-up the mathematics for such. Also, if time permits I hope to discuss other formalisms with which we can frame General Relativity.

• Lecture 1 video and notes on: course overview
• Lecture 2 video and notes on: course Minkowski Space a.k.a. spacetime
• Lecture 3 video and notes on: index-based calculation
• Lecture 4 video and notes on: Lorentz Transformations
• Lecture 5 video and notes on: Euclidean Structures for formal Newtonian Mechanics and the generalization to Special Relativity
• Lecture 6 video and notes on: Tensors
• Lecture 7 video and notes on: 4-Vectors and Special Relativity
• Lecture 8 video and notes on: Maxwell's Equations and Stress Energy Tensors
• Lecture 9 video and notes on: Variational Calculus and Lagrangian Mechanics
• Lecture 10 video and notes on: Classical Field Theory (a brief introduction with application to Electromagnetics, I also digress on Electromagnetism in terms of differential forms)
• Lecture 11 part 1 video and Lecture 11 part 2 video and notes on: Equivalence Princple and Brief Tour of Calculus on Manifolds
• Lecture 12 video and notes on: metric and a toy universe model
• Lecture 13 video and notes on: Curvature (Need to find Lecture 13 notes)
• Lecture 14 video part 1 and Lecture 14 video part 2 and notes on: Covariant Derivatives, Curvature and the Christoffel Symbols (Need to find Lecture 14 notes)
• Lecture 15 video and notes on: Variational Calculus and Geodesic Equation (need to find Lecture 15 notes)
• Lecture 16 video and notes on: Einstein's Equations
• Lecture 17 video and notes on: Schwarzschild's Solution
• Lecture 18 video and notes on: Gravitational Waves (need to find Lecture 18 notes)
• Lecture 19 video and Cosmological Models in GR ( need to find Lecture 19 notes)
• Lecture 20 video part 1 and Lecture 20 video part 2 and notes on: Tetrad Formalism ( Lorentz frame method )

I'm currently missing a few pdf's here. I'm hoping to rescan these once I recover my basement from the remodel...

• note to self, delete this later: final exam solution.

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Last Modified: 5-13-24