Varying Minkowski Metric: Is {\delta}{\eta}_{\mu\nu}=0?

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The discussion centers on the variation of the Minkowski Metric, specifically questioning whether {\delta}{\eta}_{\mu\nu}=0. Participants confirm that the components of the Minkowski Metric, which are constants (+1 or -1), result in a differential variation of zero. This conclusion is established based on the understanding that the metric's components do not change, leading to a definitive answer that the variation is indeed zero.

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Physicist97
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So I was wondering, is the variation of the Minkowski Metric zero? As in ##{\delta}{\eta}_{\mu\nu}=0## . I would think this is the case because the components of the Minkowski Metric are just numbers (either +1 or -1), so varying it gives you 0. Is this correct?
 
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What do you mean ? ημν is just and bunch of zero and +/- 1 every where, so normally it's differential is equal to zero !
 
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Right, well that's what I was asking haha. I just needed some reassurance that it was the correct answer, thank you.
 
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