Question: Covariant Derivative of a Tensor Density

Hi Everyone,

surely my question has a simple answer, however, I am a bit stumped. I need to calculate field equations for which I need to take the covariant derivative of a tensor density. This yields additional "Christoffel-terms" in the usual manner.

For mathematical details see e.g. (

(I hope it's ok to link resources from another forum)

My problem is that I can't seem to find a command to define a tensor density in the Differential Geometry package. I can only obtain Metric densities through the "MetricDensity" command. However, this command does not create a tensor density in the usual manner.

One workaround might be to substitute the Metric Density from the command mentioned above into the covariant derivative after expanding in terms of the Christoffel-symbols. 

Any input would be appreciated.

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