Peeling in generalized harmonic gauge

It is shown that a large class of systems non-linear wave equations, based on the good-bad-ugly model, admit formal solutions with polyhomogeneous expansions near null infinity. A particular set variables introduced which allows us to write Einstein field equations in generalized harmonic gauge as system and functional form first few orders such an expansion found by applying aforementioned result. Exploiting these metric components, peeling property Weyl tensor revisited. The question addressed whether or not use gauge, itself, causes violation peeling. Working it log-terms prevent from do appear. impact source functions constraint additions then considered. Finally, special interplay between addition, well its influence asymptotic decay each exploited find suppresses this specific type log-term arbitrarily high order.