Linearised conformal Einstein field equations

Abstract The linearisation of a second-order formulation the conformal Einstein field equations (CEFEs) in Generalised Harmonic Gauge (GHG), with trace-free matter is derived. linearised are obtained for general background and then particularised study linear perturbations around flat —the inversion (conformal) representation Minkowski spacetime— solutions discussed. We show that generalised Lorenz gauge (defined as analogue GHG-gauge) propagates. Moreover, equation factor can be trivialised an appropriate choice source functions; this permits scri-fixing strategy using functions wave-like CEFE-GHG, which principle to nonlinear case. As particular application equations, far-field compact approximation employed derive quadrupole-like formulae various fields such perturbation rescaled Weyl tensor.