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Mar 12, 2015 at 6:37 comment added user12029 watch your upper and lower indices! It's also not true it equals $1$. See property 18 on mathworld.wolfram.com/MetricTensor.html
Mar 12, 2015 at 6:06 vote accept nightmarish
Mar 12, 2015 at 6:03 comment added nightmarish Thanks for the kind reply. I was also wondering why $\eta^{\mu\alpha}\eta^{\mu\beta} = 1$. Is it because the metric tensor is symmetric, so that we can rewrite the product as $\eta^{\alpha\mu}\eta^{\mu\beta}$, and then we sum over the index $\mu$ to form the product of 1?
Mar 12, 2015 at 6:02 history edited user12029 CC BY-SA 3.0
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Mar 12, 2015 at 5:55 history answered user12029 CC BY-SA 3.0