Field equations fully written out

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• greypilgrim
In summary, this is not something that is possible to do without a lot of patience and a lot of computer algebra.f

greypilgrim

Hi,

Does anybody know a link where the Einstein field equations are fully written out, i.e. in terms of only the coefficients of the metric tensor and derivatives on the left side? I'm just curious how huge this must be.

Write them yourself. No spoon feeding on PF.

vanhees71
Does anybody know a link where the Einstein field equations are fully written out, i.e. in terms of only the coefficients of the metric tensor and derivatives on the left side? I'm just curious how huge this must be.

I don't know why anyone would want to do such a thing - avoiding such overkill is precisely one of the reasons why we use tensor notation. But if you are really curious, you can always try and do this yourself - start with the expression for the Einstein tensor in terms of the metric and the Christoffel symbols, and simply expand all terms and sums. HINT : you are going to need a lot of patience, and a lot of paper

Battlemage!
Write them yourself. No spoon feeding on PF.
I don't know why anyone would want to do such a thing - avoiding such overkill is precisely one of the reasons why we use tensor notation. But if you are really curious, you can always try and do this yourself - start with the expression for the Einstein tensor in terms of the metric and the Christoffel symbols, and simply expand all terms and sums. HINT : you are going to need a lot of patience, and a lot of paper

I don't think this is an issue of spoon feeding as the educational value of what the OP is asking for is pretty minimal at best (maybe as a wallpaper design?). I think we all know (hope?) that the OP will give up before achieving the objective.

So, to the OP:
I would advise you to obtain the maxima or wxmaxima program with the ctensor package, set up a metric with all components present and use the ctensor features to generate the output of Einstein's Equation. I can pretty much guarantee that you will get bored and abandon the attempt before the answer has even finished scrolling by. But at least you will have learned something nontrivial about using a computer algebra system, which you might well find useful at some point in the future.

Battlemage!, Markus Hanke and vanhees71