Regularizing dual-frame generalized harmonic gauge at null infinity

Abstract The dual-frame formalism leads to an approach extend numerical relativity simulations in generalized harmonic gauge (GHG) all the way null infinity. A major setback is that without care, even simple choices of initial data give rise logarithmically divergent terms would result irregular variables and equations on compactified domain, which turn prevent accurate approximation. It has been shown, however, a suitable choice constraint addition can be used their appearance. Presently we first order symmetric hyperbolic reduction general GHG hyperboloidal slices exploits this knowledge eradicates these log-terms at leading orders. Because effect asymptotic solution space, specific formally singular are systematically chosen remain. Such have successfully treated numerically toy models formulation with desirable property unphysical radiation content near infinity suppressed.