I'm currently working through General Relativity and I'm wondering how you would express the variation of a general metric tensor, or similarly, how you would write the total differential of a metric tensor (analogous to how you would write the total derivative for a function)? Also, on a related note, does the covariant derivative of the metric always vanish, regardless of the metric chosen?(adsbygoogle = window.adsbygoogle || []).push({});

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# Variation of the metric tensor

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