Hello,
In the lines below, I take Lie derivatives of the perturbed Sqrt[-Detg[]]. The following two lines are giving me different results, which should give me the same result as the top. The difference is whether I put ExpandPerturbation before or after LieDToCovD. Is this a possible bug?
ToCanonical[
ContractMetric[
LieDToCovD[
ExpandPerturbation@LieD[v[a]][Perturbation[Sqrt[-Detg[]], 1]], CD]]/
Sqrt[-Detg[]]]
ToCanonical[
ContractMetric[
ExpandPerturbation@
LieDToCovD[LieD[v[a]][Perturbation[Sqrt[-Detg[]], 1]], CD]]/
Sqrt[-Detg[]]]
Thank you!