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I'm currently trying to get my head around General Relativity for a term paper; the twist is that I'm dealing with an arbitrary amount of dimensions, that is 4+d, where d is unspecified.

Now the maple tensor package does calculation with some fixed amount of dimensions just fine, obviously. So currently I'm simply using 4+2 dimensions, the two extra ones representing the "arbitrary amount". As was to be expected, this has come to bite me, since the actual amount of extra dimensions comes up in the equations down the line, i.e. I have terms like "2a + 2b", where the 2 in front of the b is actually the number of extra dimensions which would change if I used some other amount and the 2

in front of the b is actually a regular coefficient. I guess you see the problem now: Without actually doing all the calculations by hand, there is no way to figure what numbers are dependent on the dimensions an what

numbers are not.

So I'm asking: Do you know any tricks that would enable me to specify spacetimes (that is, manifolds) with arbitrary dimension?

regards,

/W

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# Maple Maple: Tensors and arbitrary dimensions

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