Fully constrained, high-resolution shock-capturing, formulation of the Einstein-fluid equations in $2+1$ dimensions

Carsten Gundlach, Patrick Bourg, Alex Davey

Four components of the axisymmetric Einstein equations in 2+1 dimensions with negative cosmological constant can be written as ${\nabla }_{a}M=\dots$ and ${\nabla }_{a}J=\dots$, where the do…