Constrained formulations of Einstein equations can exhibit some uniqueness problems within their elliptic part, for instance when calculating the numerical spacetime of very compact stars or black holes. The same holds for the approximation of the conformal atness condition (CFC). We present here a reformulation of the elliptic sector of such formulations that solves this uniqueness problems. The correct behavior of our new formulation is confirmed in CFC with numerical tests.
展开▼
