If you are interested in General Relativity you might want to include
Geometric Algebra symbolic manipulation in sympy. Go to -

http://www.mrao.cam.ac.uk/~clifford/

or look at the book -

Geometric Algebra for Physicists by Doran and Lazenby

You might especially be interested in their form of the Riemann tensor
for the Kerr solution for a rotating black hole.
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