The largest problems are now tractable on common computers:
The idea is to calculate the number of terms (not the number of components!) in the covariant
Ricci tensor (Ra b) in n dimensions. The most general form of the
metric tensor is used, that is n(n+1)/2 functions of n
variables. The number of terms grows rapidly with n.
| Dimension (n) | 2 | 3 | 4 | 5 |
| Diagonal components | 17 | 416 | 9,990 | 298,134 |
| Off-diagonal components | 17 | 519 | 13,280 | 410,973 |
| CPU (s) on notebook | 0 | 1 | 14 | 1720 |
The following example (n=5) was run on my notebook.
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