Einstein–Hilbert action

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The Einstein–Hilbert action in general relativity yields the Einstein field equations through the principle of stationary action. With the ( − , + , + , + ) {\displaystyle (-,+,+,+)} metric signature, the gravitational part of the action is given as S = 1 2 κ ∫ R − g d 4 x , {\displaystyle S={1 \over 2\kappa }\int R{\sqrt {-g}}\,\mathrm {d} ^{4}x,} where g = det ( g μ ν ) {\displaystyle g=\det(g_...

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