Voir la notice de l'article provenant de la source Annals of Mathematics website
This is the first and main paper of a two-part series, in which we prove the $C^{2}$-formulation of the strong cosmic censorship conjecture for the Einstein–Maxwell-(real)-scalar-field system in spherical symmetry for two-ended asymptotically flat data. For this model, it is known through the works of Dafermos and Dafermos–Rodnianski that the maximal globally hyperbolic future development of any admissible two-ended asymptotically flat Cauchy initial data set possesses a non-empty Cauchy horizon, across which the spacetime is $C^{0}$-future-extendible. (In particular, the $C^{0}$-formulation of the strong cosmic censorship conjecture is false.) Nevertheless, the main conclusion of the present series of papers is that for a generic (in the sense of being open and dense relative to appropriate topologies) class of such data, the spacetime is future-inextendible with a Lorentzian metric of higher regularity (specifically, $C^{2}$).
@article{10_4007_annals_2019_190_1_1,
author = {Jonathan Luk and Sung-Jin Oh},
title = {Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data {I.} {The} interior of the black hole region},
journal = {Annals of mathematics},
pages = {1--111},
publisher = {mathdoc},
volume = {190},
number = {1},
year = {2019},
doi = {10.4007/annals.2019.190.1.1},
mrnumber = {3990601},
zbl = {07097496},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2019.190.1.1/}
}
TY - JOUR AU - Jonathan Luk AU - Sung-Jin Oh TI - Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region JO - Annals of mathematics PY - 2019 SP - 1 EP - 111 VL - 190 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2019.190.1.1/ DO - 10.4007/annals.2019.190.1.1 LA - en ID - 10_4007_annals_2019_190_1_1 ER -
%0 Journal Article %A Jonathan Luk %A Sung-Jin Oh %T Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region %J Annals of mathematics %D 2019 %P 1-111 %V 190 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2019.190.1.1/ %R 10.4007/annals.2019.190.1.1 %G en %F 10_4007_annals_2019_190_1_1
Jonathan Luk; Sung-Jin Oh. Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region. Annals of mathematics, Tome 190 (2019) no. 1, pp. 1-111. doi: 10.4007/annals.2019.190.1.1
Cité par Sources :