I'm looking at deriving the Schwarzschild metric in 'Lecture Notes on General Relativity, Sean M. Carroll, 1997'(adsbygoogle = window.adsbygoogle || []).push({});

and the comment under eq. 7.8, where he seeks a diagnoal form of the metric...

- Is it always possible to put a metric in diagonal form or are certain symmetries required?

- What exactly is the motivation for diagnoal form - is it because computing christoffel symbols etc is simpler or?

Thanks in advance.

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# When can a metric be put in diagonal form?

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