I am reading a paper and the authors read the tt component of the metric from the line element [tex] ds^2=f(r)[g(r) dt^2+h(r) dr^2][/tex] as [tex] g_{tt}=g(r)[/tex] instead of (what I expect to be) [tex] g_{tt}=f(r) g(r)[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Could somebody please explain to me why? Thank you.

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# Metric component confusion

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