For $(X,e)$ a (pseudo-)Riemannian manifold with smooth manifold $X$ and vielbein field $e$, its scalar curvature is the smooth function
defined to be the trace of the Ricci tensor of $e$
The product of the scalar curvature with the volume form is the Lagrangian of the theory (physics) of gravity. The corresponding action functional is the Einstein-Hilbert action.
Last revised on March 20, 2020 at 12:49:24. See the history of this page for a list of all contributions to it.