Benoît Pausader (Brown)

Title:  Stability of Minkowski space for the Einstein equation with a massive scalar field
Abstract: This is joint work with A. Ionescu. We consider the stability of the Minkowski space for the Einstein model equations with a matter model given by a massive scalar field. This problem was already studied under more stringent conditions by LeFloch-Ma and Q. Wang. After apropriate parametrization, this is a quasilinear problem involving a wave equation and a Klein-Gordon equation for which one proves a small data-global existence result. Part of the complication comes from the fact that, as per the constraint equation, the ``initial data'' has a rather poor behavior at infinity, and that we do not specify a priori the main term in the fall-off decay (e.g. the data is not necessarily Schwartschild outside a bounded ball).