Physics with rigorous math - need advice

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leo.
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Hi all, I have a doubt regarding the connection between physics and math. I'm studying physics at college but I'm a little confused. My main area of interest is general relativity, so what I really want to do is to work on that area, however I prefer (and I have more hability) to atack problems with rigorous math rather with physical intuition.

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.
 
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Well I'm sure that other members will be much more equipped to answer your question, but it sounds to me like you just described the field of mathematical physics.
 
Possibly what PiAreSquared said. Physics doesn't only require experiment. There's both theory and experiment and they aren't mutually exclusive either. I think "rigorous" in this case may be ill-defined. What courses are you taking right now? Rigorous math in a physicist's eyes may be completely different than that of a mathematician's. If you are only taking an introductory sequence right now, the math will become more interesting in your later courses, but it won't be on the level of say, real analysis.