@ecterrab 

First of all, thanks for your reply.

I'd like to say that I know the Physics package and I think it's fantastic. I have done a great deal in him, especially in General Relativity. I have also followed the launch of Maple 2017 and its news!

I can say that I know the commands that you have indicated.

Initially, I tried to use the Physics package, but in it I can not reproduce a certain result.

Starting from this metric

I need to get this

and

.

With this definition

Unfortunately, the Physics package does not reproduce these results in the same way. So I had to resort to the grtensor, but I can not define all the components of the tensor.

@ecterrab 

Thanks a lot for your attention!

Ok, I need replace the E value. I don't find any instruction about like to do and I don't know if it is possible.
I would like to replace E, for example,

,

that means to introduce rotation in a static metric.

Thank you for the tips,

Denis.

@John Fredsted 

Thanks for your attention!