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@article{Holzegel:2015:10.1142/S0219891615500095,
author = {Holzegel, G and Warnick, CM},
doi = {10.1142/S0219891615500095},
journal = {Journal of Hyperbolic Differential Equations},
pages = {293--342},
title = {The Einstein-Klein-Gordon-AdS system for general boundary conditions},
url = {http://dx.doi.org/10.1142/S0219891615500095},
volume = {12},
year = {2015}
}

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TY  - JOUR
AB  - We construct unique local solutions for the spherically-symmetric Einstein–Klein–Gordon–anti-de Sitter (AdS) system subject to a large class of initial and boundary conditions including some considered in the context of the AdS-CFT correspondence. The proof relies on estimates developed for the linear wave equation by the second author and involves a careful renormalization of the dynamical variables, including a renormalization of the well-known Hawking mass. For some of the boundary conditions considered this system is expected to exhibit rich global dynamics, including the existence of hairy black holes. This paper furnishes a starting point for such global investigations.
AU  - Holzegel,G
AU  - Warnick,CM
DO  - 10.1142/S0219891615500095
EP  - 342
PY  - 2015///
SN  - 1793-6993
SP  - 293
TI  - The Einstein-Klein-Gordon-AdS system for general boundary conditions
T2  - Journal of Hyperbolic Differential Equations
UR  - http://dx.doi.org/10.1142/S0219891615500095
UR  - http://hdl.handle.net/10044/1/25716
VL  - 12
ER  -

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