paper

AdS Robin solitons and their stability

arXiv:2001.03980 · doi:10.1088/1361-6382/ab7ee4

Abstract

We consider the four-dimensional Einstein-Klein-Gordon-AdS system with conformal mass subject to the Robin boundary conditions at infinity. Above a critical value of the Robin parameter, at which the AdS spacetime goes linearly unstable, we prove existence of a family of globally regular static solutions (that we call AdS Robin solitons) and discuss their properties.

13 pages, 2 figures