Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
Annals of mathematics, Tome 158 (2003) no. 3, pp. 875-928
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This paper considers a trapped characteristic initial value problem for the spherically symmetric Einstein-Maxwell-scalar field equations. For an open set of initial data whose closure contains in particular Reissner-Nordström data, the future boundary of the maximal domain of development is found to be a light-like surface along which the curvature blows up, and yet the metric can be continuously extended beyond it. This result is related to the strong cosmic censorship conjecture of Roger Penrose.
@article{10_4007_annals_2003_158_875,
author = {Mihalis Dafermos},
title = {Stability and instability of the {Cauchy} horizon for the spherically symmetric {Einstein-Maxwell-scalar} field equations},
journal = {Annals of mathematics},
pages = {875--928},
publisher = {mathdoc},
volume = {158},
number = {3},
year = {2003},
doi = {10.4007/annals.2003.158.875},
mrnumber = {2031855},
zbl = {1055.83002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.875/}
}
TY - JOUR AU - Mihalis Dafermos TI - Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations JO - Annals of mathematics PY - 2003 SP - 875 EP - 928 VL - 158 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.875/ DO - 10.4007/annals.2003.158.875 LA - en ID - 10_4007_annals_2003_158_875 ER -
%0 Journal Article %A Mihalis Dafermos %T Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations %J Annals of mathematics %D 2003 %P 875-928 %V 158 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.875/ %R 10.4007/annals.2003.158.875 %G en %F 10_4007_annals_2003_158_875
Mihalis Dafermos. Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations. Annals of mathematics, Tome 158 (2003) no. 3, pp. 875-928. doi: 10.4007/annals.2003.158.875
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