Is There an Error in the GR Problem? Join the Discussion!

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pleasehelpmeno
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Why does [itex]\eta^{\rho \alpha}\eta_{\alpha \sigma} \partial_{\nu} \partial^{\sigma}h_{\mu \rho} = \partial_{\nu}\partial_{\alpha}h^{\alpha}_{\mu}[/itex]

WHY DOESN'T it equal [itex]\partial_{\nu}\partial_{\alpha}h^{\alpha}_{\mu} + \partial_{\nu}\partial^{\sigma}h_{\mu \sigma}[/itex]
 
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