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.
Nous montrons que les résultats de décroissance connus en métrique de Schwarzschild sont suffisants pour obtenir une théorie conforme du scattering, que nous ré-interprêtons ensuite comme une théorie analytique définie en termes d’opérateurs d’ondes, avec une dynamique de comparaison explicite associée aux congruences de géodésiques isotropes principales. Le cas de la métrique de Kerr est également discuté.
Revised:
Accepted:
Published online:
Keywords: Conformal scattering, black holes, wave equation, Schwarzschild metric, Goursat problem
Mot clés : Scattering conforme, trous noirs, équation des ondes, métrique de Schwarzschild, problème de Goursat
@article{AIF_2016__66_3_1175_0,
author = {Nicolas, Jean-Philippe},
title = {Conformal scattering on the {Schwarzschild} metric},
journal = {Annales de l'Institut Fourier},
pages = {1175--1216},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {66},
number = {3},
year = {2016},
doi = {10.5802/aif.3034},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3034/}
}
TY - JOUR AU - Nicolas, Jean-Philippe TI - Conformal scattering on the Schwarzschild metric JO - Annales de l'Institut Fourier PY - 2016 SP - 1175 EP - 1216 VL - 66 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3034/ DO - 10.5802/aif.3034 LA - en ID - AIF_2016__66_3_1175_0 ER -
%0 Journal Article %A Nicolas, Jean-Philippe %T Conformal scattering on the Schwarzschild metric %J Annales de l'Institut Fourier %D 2016 %P 1175-1216 %V 66 %N 3 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3034/ %R 10.5802/aif.3034 %G en %F AIF_2016__66_3_1175_0
Nicolas, Jean-Philippe. Conformal scattering on the Schwarzschild metric. Annales de l'Institut Fourier, Volume 66 (2016) no. 3, pp. 1175-1216. doi : 10.5802/aif.3034. https://aif.centre-mersenne.org/articles/10.5802/aif.3034/
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