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Some other sources for the tensor formulas are:
Sean Carroll GR Cosmology notes: https://preposterousuniverse.com/wp-c...
Section 2.9 of the Catalogue of Spacetimes (note they they take the g_tt metric term to be c^2 instead of 1, so the locations of c in the formulas are different: https://arxiv.org/pdf/0904.4184.pdf
0:00 Intro + Notation
2:48 Connection Coefficients
10:08 Ricci Tensor
19:04 Ricci Scalar
Watch video Relativity 110c: Cosmology - FLRW Tensor/Coefficient Derivations online without registration, duration hours minute second in high quality. This video was added by user eigenchris 24 April 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 20,590 once and liked it 543 people.