Holographic Aspects of Non-minimal $R{F}_{\mu \alpha }^{(a)}{F}^{(a)\mu \alpha }$ Black Brane

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 $R{F}_{\mu \alpha }^{(a)}{F}^{(a)\mu \alpha }$ 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 $q_2\to 0$.

13 pages, no figure, typo corrected, references added, minor modifications, to appear in MPLA

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Cited by in corpus (3)

• The Phase Transition of Non-minimal Yang-Mills AdS Black Brane
• Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
• Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha \beta }{F}^{\gamma \lambda }{R}_{\alpha \gamma \beta \lambda }$ Coupling