Conformal scattering on the Schwarzschild metric
General Relativity and Quantum Cosmology
2015-10-20 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We show that existing decay results for scalar fields on the Schwarzschild metric are sufficient to obtain a conformal scattering theory. Then we re-interpret this as an analytic scattering theory defined in terms of wave operators, with an explicit comparison dynamics associated with the principal null geodesic congruences. The case of the Kerr metric is also discussed.
Cite
@article{arxiv.1312.1386,
title = {Conformal scattering on the Schwarzschild metric},
author = {Jean-Philippe Nicolas},
journal= {arXiv preprint arXiv:1312.1386},
year = {2015}
}
Comments
36 pages, 6 figures. From the first version, recent references have been added and the discussion has been modified to take the new references into account. To appear in Annales de l'Institut Fourier