Solutions to G.R. Problems
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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 gain.

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 Download Jupyter Notebook

Problem Set 11 Download Jupyter Notebook