Dynamics of a nonminimally coupled scalar field in asymptotically $AdS_4$ spacetime

TL;DR

This paper numerically examines how nonminimal coupling in scalar fields influences the stability and black hole formation in asymptotically $AdS_4$ spacetime, revealing effects on energy transfer and fluid analogies.

Contribution

It provides new insights into the impact of nonminimal coupling on scalar field dynamics and stability in $AdS_4$, including the limitations of fluid analogies.

Findings

Coupling affects black hole formation thresholds.

Energy transfer varies with coupling strength.

Fluid analogy has limitations in anisotropic cases.

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 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.