Let h = det h_{alpha beta}. The number of dimensions is not necessarily four. Show that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\[

\delta h = -h h_{\alpha \beta} \delta h^{\alpha \beta} \, ;

\]

[/tex]

delta h is the variation in h.

Not sure how to start.

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# Varying metric determinant

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