James Cook's General Relativity Page Homepage

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)

I intend to add further pdf's and links as the course unfolds in the Fall 2022 term.

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

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Last Modified: 10-11-22