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In some discussions about GR, I heard the term "covariance" and covariant form (eg, covariant form of Maxwell's equations) pop up often.

I've been wondering for a while why the notion of covariance in GR is so important. I have some background in mathematical physics, so I know the difference between co- and contravariant components of a tensor a such.

Cheers,

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# Why the notion of covariance in GR is so important

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