The Maxwell-scalar field system near spatial infinity

We make use of Friedrich's representation spatial infinity to study asymptotic expansions the Maxwell-scalar field system near infinity. The main objective this analysis is understand effects non-linearities on regularity solutions and polyhomogeneous at null and, in particular, critical sets where touches outcome from our that nonlinear interaction makes both fields more singular conformal boundary than what seen when are non-interacting. In we find a whole new class logarithmic terms which depend coupling constant between Maxwell scalar fields. analyse implications these results peeling (or rather lack thereof)