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Question: Is it possible to calculate the Riemann Tensor for an arbitrary metric?

Question:Is it possible to calculate the Riemann Tensor for an arbitrary metric?

Hullzie16 232 Maple
physics tensor
March 22 2020
3

I am interested in trying to find the Kretschmann Scalar of certain metric, where the line element in given bellow as well as conditions on the indices. 

I am wondering if there is any possible way to compute the Riemann tensor components just using indices with the physics package or the tensor package. I have used them both before but for metrics which are explicitly defined. 

 

Thank you. 

 

 
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