Stress Energy Components: 3 or 4 Densities?

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Ryan Rankin
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I usually come across expressions for the Stress energy tensor showing them as three densities (normally over a space-like slice.
In wikipedia's article on the spin tensor, they clearly (it does not appear to be an error) both write about and express the components of the stress energy tensor as four-densities. Is the three density just an approximation then?
For example:
06db8c0990a297671e457be2a9e4ba13.png

I usually come across this as an integral over three-space.
 
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Wikipedia is wrong. In fact the statement itself makes no sense whatsoever. You cannot get momentum at time t if you have integrated t out!

Also, please note that it is customary (and required!) to link to your sources. Others should not have to go through the process of finding something you talk about to verify what you have said.