The Einstein constraints and differential forms
arXiv:2511.19129 · doi:10.1007/s10714-026-03527-0
Abstract
We express the vacuum Einstein constraints in terms of differential forms - the forms include one-forms constituting an orthonormal coframe of the spatial metric. We show that if the metric is real-analytic, then the constraints can be always expressed locally as a system of first order PDE's - this system is obtained by a special choice of the coframe, which reduces to zero all second order terms in the scalar constraint.
18 pages, no figure, LaTeX