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The point here is: I have more hability when rigorous math is involved, however I don't want to become mathematician, I want to work with physics in general relativity. I know that physics needs experiment, and that is why I feel confused.

Can someone give me an advice about that ? Is there a way to combine the study of physics with rigorous math or it's only possible to work with physics through experiments ?

Thanks a lot in advance and sorry if I've said something very silly, if I did is because I really don't understand this completely.