Problem with conformal transformation

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Sergio González

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Apr 19, 2016, 11:36:22 AM4/19/16
to xAct Tensor Computer Algebra
Hi there,

I am just trying to do some simple computations that involvea conformal transformation of the metric. I am using this thread to learn the basics but I am facing a problem.

If I try something like:

ChangeCurvature[CD[m]@RicciCd2[m, -n] , CD, Cd];
ChristoffelToGradConformal[%, gm2, gm] /.ConformalRules[gm2, gm] // CollectTensors

the result keeps covariant derivatives of the original metric (i.e. CD) I don't know how to force xAct to transform this covariant derivative in terms of the new metric. Any help?

Thanks,

Sergio Gonzalez

Sergio González

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Apr 20, 2016, 7:10:52 AM4/20/16
to xAct Tensor Computer Algebra
I have already been able to do it. Just needed more instructions
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