Peeling in Generalized Harmonic Gauge

by Miguel Castilho Soares Duarte (CENTRA, Instituto Superior Técnico, Lisbon, Portugal)

Friday 4 Feb 2022, 16:00 → 17:00 Europe/Berlin

Zoom (TPI, FSU Jena)

Starting from a generalization of the good-bad-ugly model, we showed that the solutions to the Einstein field equations in generalized harmonic gauge (GHG) admit polyhomogeneous expansions near null infinity. This allows us to find out, under a very general class of initial data, whether the peeling property holds for each gauge choice. In general, we find that it does not. However we find that the interplay between gauge and constraint addition can be exploited in order to recover peeling. The same method can be used to build a full-blown regularization of the Einstein field equations in GHG.