Does there exist textbook or webpage which has a list of the unique components of $R^{\mu}_{\nu \alpha \beta}$ for the Kerr metric?

Such a reference is easy enough to find for Schwarzchild (including on this site), but Kerr is a bit more tricky.

Of course, you can use your favourite symbolic manipulation tool e.g. Mathematica to compute the terms but:

• It is hard to get it into a "nice" form using common symbols in Boyer-Lindquist coordinates such as $\Sigma(r,\theta)$, $\Delta(r)$, etc.
• Mistakes and typos are all to easy to make - would be good to have a de facto "source of truth".

Thanks

Does there exist textbook or webpage which has a list of the unique components of $R^{\mu}_{\nu \alpha \beta}$ for the Kerr metric?

Such a reference is easy enough to find for Schwarzchild (including on this site), but Kerr is a bit more tricky.

Of course, you can use your favourite symbolic manipulation tool e.g. Mathematica to compute the terms but:

• It is hard to get it into a "nice" form using common symbols in Boyer-Lindquist coordinates such as $\Sigma(r,\theta)$, $\Delta(r)$, etc.
• Mistakes and typos are all to easy to make - would be good to have a de facto "source of truth".