What are the sufficient / necessary conditions for a metric to be stationary / static?(adsbygoogle = window.adsbygoogle || []).push({});

- If the metric components are independent of time in some coordinate system , is this sufficient for stationary?

- I've read for static if a time-like killing vector is orthogonal to a family of hyper-surfaces than it's static and that this condition is equivalent to there being no cross terms containing ##dt##.How are these 2 conditions equivalent? I have no idea how to go about showing this?

Many thanks in advance.

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# Stationary/ Static Conditions Metric?

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