Does anyone know which are Ricci and Riemann Tensors of FRW metric?

[physicsuniverse02]

Homework Statement:

Find Ricci and Riemann tensors of FRW metric

Relevant Equations:

\begin{align*}g_{\mu\nu}=a(t)^2\begin{pmatrix} \frac{1}{1-kr^2} & 0 & 0 \\ 0 & r^2 & 0\\ 0 & 0 & r^2\sin^2{\theta} \end{pmatrix}\end{align*}

I just need to compare my results of the Ricci and Riemann Tensors of FRW metric, but only considering the spatial coordinates.

 

[PeterDonis]

I just need to compare my results of the Ricci and Riemann Tensors of FRW metric, but only considering the spatial coordinates.

Then you should either look up those results in one of many references, or check your computation using a computer package designed for that purpose, like Maxima.

If you want someone here to take a look at your results and let you know if they make sense, you need to post them here. If you are expecting us to just tell you the answer here, you are expecting too much.

 

[robphy]

Using worksheets to solve the Einstein equation
Thomas A. Moore
American Journal of Physics 84, 360 (2016); : https://doi.org/10.1119/1.4939908

https://pages.pomona.edu/~tmoore/LesHouches/DiagMetric.pdf

https://www.mapleprimes.com/posts/201548-Exact-Solutions-To-Einsteins-Equations

https://en.wikipedia.org/wiki/Friedmann–Lemaître–Robertson–Walker_metric