Try this.
https://arxiv.org/abs/2109.04193
OGRe: An Object-Oriented General Relativity Package for Mathematica
Have you looked through Wolfram Books Physics section? There are 85 items there currently. In the recent listed you can see:
by Pietro Giuseppe Frè. I did not go through the whole 85 books but you probably should.
Hi thanks! Unfortunately I have looked in this section but I'm looking for a more systematic treatment like the books listed above.