Under a change of variables:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]x^{\mu} \rightarrow x^{\mu}+ \delta x^{\mu}[/itex]

How can I see how the determinant of the metric changes?

[itex] \sqrt{|g(x)|}[/itex]?

Is it correct to see it as a function?

[itex] f(x) \rightarrow f(x+ \delta x) = f(x) + \delta x^{\mu} \partial_{\mu} f(x) [/itex]

?

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# Change of determinant of metric

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