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

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arxiv 2206.08854 v2 pith:ICKPWOBZ submitted 2022-06-17 gr-qc hep-th

classification gr-qchep-th
keywords asymptoticallycoupledfieldnonminimallyscalaranalogyspacetimeaffects
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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.

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