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## Homework Statement

In my general relativity class my professor mentioned that in dimension 4 there are only six statements in the Einstein equations and that this is exactly the number needed.

## Homework Equations

[itex]G_{\alpha\beta}[/itex]+[itex]\Lambda[/itex][itex]g_{\alpha\beta}[/itex]=[itex]8{\pi}T_{\alpha\beta}[/itex]

## The Attempt at a Solution

Really I just want to understand why 6 statements are all that is needed (apparently exactly what is needed) in 4 dimensions. Any clarification would be greatly appreciated, thanks!