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Old Oct 19th 2008, 10:31 AM   #1
sky
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Join Date: Oct 2008
Posts: 1
Tensors

Hi, I've decided to learn GR recently since it's like the "sexy" side of physics. But I'm getting stuck with the tensors notations already. Maybe my math background is just not sufficient enough to do GR.
In general, how do I show that an object is tensorial; for example, objects like Ta|b-Tb|a or Ta||b - Tb||a (| for partial derivatives, || for covariant derivatives and Ta or Tb are just the covariant vector components.)
Also, in general, how do I solve for the roots of a determinant equation that invovles tensors? For example, det(k Amn - Bmn) = 0 where Amn and Bmn are covariant tensor components and I suppose k is the eigenvalue(or maybe not...?). Is this the same as in linear algebra where we just solve for all the possible eigenvalues? But I'm confused with the covariant tensor components, can I just treat them as entries of a matrix? Thanks.
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