A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations

Abstract

In this work, based on the $3+1$ decomposition in [24, 33], we present a fully exterior calculus breakdown of spacetime and Einstein's equations. Links to the orthonormal frame approach [38] are drawn to help understand the variables in this context. Two formulations are derived, discretised and tested using the exterior calculus discrete de Rham complex [13], and some discrete quantities are shown to be conserved in one of the cases.

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Cited by in corpus (1)

• First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory