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Bibliographic Details
Main Authors: Okolow, Andrzej, Szymankiewicz, Jakub
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.19129
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Table of Contents:
  • 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.