IEVref:113-07-44ID:
Language:enStatus: Standard
Term: four-divergence
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Symbol: Div
Definition: four-dimensional generalization of three-dimensional divergence

DivA__:=3μ=0Aμxμ=A0jc0t+divA

where A__ is an arbitrary four-vector

Note 1 to entry: Four-divergence is useful in STR. In general theory of relativity (GTR) for non-flat space-time, a more sophisticated method is used.

Note 2 to entry: The four-divergence of a tensor quantity Q of order n1 is a scalar product of four-nabla and that quantity: DivQ=Q yielding a tensor quantity of order n1.

Note 3 to entry: In the International System of Quantities, the dimension of four-divergence is L1.


Publication date:2022-06
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