For a (pseudo-)Riemannian manifold with smooth manifold and vielbein field , its scalar curvature is the smooth function
defined to be the trace of the Ricci tensor of
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 16:49:24. See the history of this page for a list of all contributions to it.