"None[0]" error in series expansion of tensor components

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Alex Cassem

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Nov 4, 2025, 12:14:03 PMNov 4
to xAct Tensor Computer Algebra
Hello everyone.

I am doing what seems like it should be straightforward computation by checking whether or not a metric in a solution to the vacuum equations, just R_{ab} = 0. The metric is supposedly a second order gravitational wave solution, to which I am trying to see if R_{ab} = 0 up to cubic order in the amplitude (or expansion parameter rho).

However, the issue I am running into can be seen in the notebook attached and looks like this: matrix element series expansion isse.png

I am unsure what is causing this issue and would love any input (I was even trying to do it with just a single component of the RicciCD tensor, but I was running into syntax issues). 

Thank you for any input/help.
-Alex Cassem
checking second order grav-wave solution.nb

Juan Margalef

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Dec 8, 2025, 12:57:31 PMDec 8
to xAct Tensor Computer Algebra
You have an error saying "TensorValues::invalid: Ricci[-a,-b] is not a valid expression for TensorValues." The problem is that you used Ricci instead of RicciCD:

ComponentValue[ComponentArray[RicciCD[-a, -b] // ToBasis[GW]]];

Best,
Juan Margalef
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