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I am self-studying GR using A First Course in General Relativity by Bernard F Schutz. I am halfway through the course, trying to solve all the exercises. But I worry that I can solve maybe 80% of them, the remaining 20% I find them just too hard.

I know I am no genius, and I don't have anyone to compare against. I would like to hear from people who have walked this path before.

Sometimes, the exercises seem to expand on topics that aren't covered in the text rather than being real exercises that the student is supposed to solve on their own.

As an example, without having mentioned Killing fields before in the text, an exercise defines the Killing equation as $$\nabla_\alpha \xi_\beta + \nabla_\beta \xi_\alpha = 0$$ and asks to prove that along a geodesic, ##p^\alpha \xi_\alpha## is constant.

I couldn't do this one. I am not asking for a proof, because I already found it elsewhere and I thought it very instructive. My question is rather whether most students can be expected to solve this exercise. If so, maybe I should work harder on my tensor algebra proficiency before going any further.

Thank you

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# I Are many exercises in Schutz just too hard?

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