Dynamics of a nonminimally coupled scalar field in asymptotically AdS 4 spacetime

Abstract

Abstract We numerically investigate the stability of four-dimensional asymptotically anti-de Sitter (AdS 4) spacetime for a class of nonminimally coupled scalar field theories. In particular, we study how the coupling affects the formation of black holes, and the transfer of energy to different spatial/temporal scales. We conclude by detailing the well-known analogy between the nonminimally coupled scalar-field stress-energy tensor and that of a viscous relativistic fluid, and discuss the limitations of that analogy when it is applied to anisotropic scalar field configurations in asymptotically AdS spacetimes.