The Einstein-Klein-Gordon-AdS system for general boundary conditions
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Holzegel, G
Warnick, CM
Abstract
jats:p 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. </jats:p>
Description
Keywords
Anti-de Sitter, Klein-Gordon, initial-boundary value problem
Journal Title
Journal of Hyperbolic Differential Equations
Conference Name
Journal ISSN
0219-8916
1793-6993
1793-6993
Volume Title
12
Publisher
World Scientific Pub Co Pte Lt