Spherically symmetric Anti-de Sitter-like Einstein-Yang-Mills spacetimes
arXiv:1403.2885 · doi:10.1103/PhysRevD.90.024021
Abstract
The conformal field equations are used to discuss the local existence of spherically symmetric solutions to the Einstein-Yang-Mills system which behave asymptotically like the anti-de Sitter spacetime. By using a gauge based on conformally privileged curves we obtain a formulation of the problem in terms of an initial boundary value problem on which a general class of maximally dissipative boundary conditions can be discussed. The relation between these boundary conditions and the notion of mass on asymptotically anti-de Sitter spacetimes is analysed.
31 pages, 2 figures. Analysis extended to include a Yang-Mills fields with non-vanishing magnetic part