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I have the Kerr metric in Boyer–Lindquist coordinates and I want to understand the variables, so I wanted to make sure if $\theta$, $r$ and $\phi$ are the same as they are in spherical coordinates.

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The $r$ and $\theta$ coordinates of the Boyer-Lindquist metric are the same as in (for example) the Schwarzschild metric, but the $\phi$ coordinate is not.

I strongly recommend Matt Visser's introduction to the Kerr metric, in which he discusses all the common coordinate systems used. The Boyer–Lindquist $\phi$ coordinate is given by (see page 14 of the linked article):

$$ \phi = -\phi_{BL} - a\int\frac{dr}{r^2 - 2mr + + a^2} $$

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