This is a symbolic general relativity calculator based on Mathematica
.
Giving coordinates, metric and energy-momentum tensor, it will quickly and output-friendly calculate the Christoffel symbols, Riemann curvature tensor, Ricci tensor, Ricci scalar, Einstein tensor, Einstein equations, geodesic equations and anything related if you want.
The package is from https://library.wolfram.com/infocenter/MathSource/8847/ .
Besides, you can test Killing vector, solve Einstein equations...
Just download all, and check the GRnotebook.nb
notebook using Mathematica
. An example in it is a simple Schwarzschild condition. You can edit it as you want.
You can see the notebook online:
https://www.wolframcloud.com/obj/68919f07-3ef6-4bc0-84ce-e9bb670424aa
Or if you are logged-in user:
https://www.wolframcloud.com/env/68919f07-3ef6-4bc0-84ce-e9bb670424aa