I would like to define [itex]t^*= \phi(r, t)[/itex] given [itex]dt^* = \left( 1-\frac{k}{r} \right) dt + 0dr[/itex] where k is a constant.(adsbygoogle = window.adsbygoogle || []).push({});

Perhaps it doesn't exist. It appears so simple, yet I've been running around in circles. Any hints?

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# Find the function phi(r,t) given its partial derivatives.

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