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Holographic Aspects of Non-minimal $RF^{(a)}_{\mu \alpha }F^{(a)\mu \alpha} $ Black Brane
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abstract
In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant and an electric field of Yang-Mills type, which is minimally coupled to gravity. We couple the Ricci scalar to the Yang-Mills invariant to obtain a modified theory of gravity. The black brane solution of this model is introduced up to the first order of the $RF^{(a)}_{\mu \alpha }F^{(a)\mu \alpha} $ term. Then, the color non-abelian direct current (DC) conductivity and the ratio of shear viscosity to entropy density are calculated for this solution. Our results recover the Yang-Mills Schwarzschild AdS black brane in the limit of $q_2 \to 0$.
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Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha\beta}F^{\gamma\lambda}R_{\alpha\gamma\beta\lambda}$ Coupling
A 4D charged AdS black hole with an FFR non-minimal coupling has van der Waals criticality and belongs to topological class W_{1+} with winding numbers (+1, -1, +1).
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