Dynamics of a nonminimally coupled scalar field in asymptotically $Ad{S}_4$ spacetime

Abstract

We numerically investigate the stability of four-dimensional asymptotically anti-de Sitter ($Ad{S}_4$) spacetime for a class of nonminimally coupled scalar field theories. In particular, we study how the coupling affects the formation of black holes and 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.

26 pages, 8 figures; updated to match published version (CQG)

References in corpus (8)

• Conformal Transformations with Multiple Scalar Fields
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Renormalization group, secular term resummation and AdS (in)stability
• The AdS/CFT Correspondence
• Thermodynamics of scalar-tensor gravity
• Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
• Non-Spherically Symmetric Collapse in Asymptotically AdS Spacetimes
• Cauchy Evolution of Asymptotically Global AdS Spacetimes with No Symmetries