Publication date:
20 August 2017
Source:Advances in Mathematics, Volume 316
Author(s): Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a $t^{-4}$ rate of decay on compact regions for all the components of the Maxwell tensor.