Asymptotics of radiation fields in asymptotically Minkowski space Academic Article uri icon

abstract

  • © 2015 by Johns Hopkins University Press. We consider a non-trapping n-dimensional Lorentzian manifold endowed with an end structure modeled on the radial compactification of Minkowski space. We find a full asymptotic expansion for tempered forward solutions of the wave equation in all asymptotic regimes. The rates of decay seen in the asymptotic expansion are related to the resonances of a natural asymptotically hyperbolic problem on the “northern cap” of the compactification. For small perturbations of Minkowski space that fit into our framework, our asymptotic expansions yield a rate of decay that improves on the Klainerman-Sobolev estimates.

author list (cited authors)

  • Baskin, D., Vasy, A., & Wunsch, J.

citation count

  • 13

publication date

  • January 2015