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These are answers submitted by Rak99

If you have the form of the Metric, it should be simple to do in the differential geometry package.
1. You invoke the package at the top of the worksheet.
2. You define a coordinate system.
3. You define the metric using the coordinate system.
4. You calculate the Christoffel Symbols.
5. Calculate the Ricci, Riemann , Weyl Tensor.
6. Calculate Covariant derivative of the above objects using the connections previously found.

The following link should help.
RicciTensor - Maple Help (maplesoft.com)

If I remember correcty (from an earlier mapleprime answer), the timelimit stops the program at the earliest time it is possible once the time is past. 
I use timelimt to solve simultaneous pdes and they go over the timelimit all the time.

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