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Can someone explain to me what Einstein Hilbert action is? and how it relates to the variational principle?
I appreciate any help that I can get!
I appreciate any help that I can get!
The EH action is an alegbraic expression which when extremized gives the Einstein field equations.
The Einstein-Hilbert action is a generalization of the classical least-action principle, which uses variational calculus.
Historically, Hilbert figured it out before Einstein. Never tell a mathematician what you are working on. :-)
Do you mean that Hilbert found the field equations via a variational principle before Einstein, or that Hilbert found the field equations before Einstein, because there is some controversy associated with the latter claim.
Did you check out the wikipedia article?Can someone explain to me what Einstein Hilbert action is? and how it relates to the variational principle?
Can you guys recommend any books or papers?
Can someone explain to me what Einstein Hilbert action is? and how it relates to the variational principle?
I appreciate any help that I can get!
There's a thorough discussion on the lagrangian formulation of GR in one of the appendices to R.Wald's "General Relativity".
Why's that ? More precisely where are the flaws ? Anyway, i'll reread it and try to see if I find something fishy on my own...