Solutions to G.R. Problems

This page contains scans of handwritten solutions to MIT's OCW 8.962 graduate course on General Relativity. During the time before starting my PhD, I wanted to gain a better understanding of G.R. as I was interested in pursuing numerical relativity as my subspecialty in graduate school. I worked my way through the lecture series available on YouTube as well as the 11 problem sets, and I have posted those scans here.

I do not guarantee that all of the answers I have provided are correct, and I could not find any resources online that had solutions of their own or were able to validate my own answers. I am providing these solutions since I think if you are a student studying the subject and are stuck, a hint can always come in handy and often aids in understanding the material rather than re-inforcing logical inconsistencies if you are unable to check your work. I do not encourage blatantly copying these solutions as that will not lead to any knowledge being gained.

If you find something that seems incorrect in these solutions, please email me and I will do my best to update or correct anything that is wrong. I encourage skepticism of my solutions since I think you and I can both learn from a careful eye.

I would eventually like to neatly format these solutions in LaTeX rather than the handwritten scans that are currently posted here, but that may be aways into the future.

Problem Set 1 * Problem Set 2 * Problem Set 3
Problem Set 4 * Problem Set 5 * Problem Set 6
Problem Set 7 * Problem Set 8 * Problem Set 9
Problem Set 10 * Problem Set 11
Jupyter Notebook 1 * Jupyter Notebook 2