We study the phenomena of superradiance for F (R)-Maxwell black holes in an AdS space-time. The AdS boundary plays the role of a mirror and provides a natural confining system that makes the superradiant waves bouncing back and forth between the region near the horizon and the reflective boundary, causing a possible superradiant instability. We obtain numerical solutions for static hairy black holes in this scenario and investigate their instability and explicitly address the stability of such solutions for spherical perturbations under specific conditions for the scalar charge and AdS radius. It is shown that for a small scalar charge or AdS radius the static hairy solution is stable under spherical perturbations. We conclude that under such conditions, new hairy black holes emerge as a possible endpoint of superradiant instability of the system.
We consider the thawing model in the framework of coupled quintessence model.
The effective potential has $Z_2$ symmetry which is broken spontaneously when
the dark matter density becomes less than a critical value leading the
quintessence equation of state parameter to deviate from -1. Conditions
required for this procedure are obtained and analytical solution for the
equation of state parameter is derived.Comment: 11 pages, 2 figure
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