Pointwise decay for the Maxwell field on black hole space–times
- Author(s): Metcalfe, J;
- Tataru, D;
- Tohaneanu, M
- et al.
Published Web Locationhttps://doi.org/10.1016/j.aim.2017.05.024
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.