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Conformal and covariant formulation of the Z4 system with constraint-violation damping

Conformal and covariant formulation of the Z4 system with constraint-violation damping

We present a new formulation of the Einstein equations based on a conformal and traceless decomposition of the covariant form of the Z4 system. This formulation combines the advantages of a conformal decomposition, such as the one used in the BSSNOK formulation (i.e. well-tested hyperbolic gauges, no need for excision, …