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.

arXiv comment26 pages, 8 figures; updated to match published version (CQG)

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