![]() ![]() The metric of the flat FLRW spacetime depends only on time. ![]() I'll show you how to compute one of the 64 Christoffel symbols, and you can compute the others.īefore computing the Christoffels, you need to know the inverse metric tensor, which has components $g^= -1$. Find the Christoffel symbols and the Ricci tensor for the metric dl2 B(r)dr2 + r2d. We now use the symmetry of the metric and of the Christoffel symbols. An interresting 'method' that allows you to know the acceleration vector with respect to any coordinate system is just a matter of recognize some key formulas.
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