Polytopal discrete de Rham scheme for the exterior calculus Einstein’s equations
Phys. Rev. D 112, 064089 – Published 29 September, 2025
DOI: https://doi.org/10.1103/6t8n-rlld
Abstract
In this work, based on the decomposition in Fecko and Löffler et al., we present a fully exterior calculus breakdown of spacetime and Einstein’s equations. Links to the orthonormal frame approach are drawn to help understand the variables in this context. Two formulations are derived, discretized, and tested using the exterior calculus discrete de Rham complex, and some discrete quantities are shown to be conserved in one of the cases.
