Planar black holes configurations and shear viscosity in arbitrary dimensions with shift and reflection symmetric scalar-tensor theories

Abstract

In higher dimensions, we explore planar hairy black hole configurations for a special subclass of the Horndeski theory, defined by two coupling functions depending on the kinetic term and enjoying shift symmetry and reflection symmetry. For this analysis, we derive a set of new solutions, given by time-dependent as well as time independent scalar field configurations. Additionally, we calculate their thermodynamic quantities by using Wald formalism, satisfying the First Law of Thermodynamics as well as a Smarr relation. Together with the above, the Wald procedure allows us to compute the shear viscosity, showing that for a suitable choice of the coupling functions the Kovtun-Son-Starinets bound is violated.

11 pages+epsilon, small improvements, accepted for publication Phys. Rev. D

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• Exploring the shear viscosity in four-dimensional planar black holes beyond General Relativity
• Magnetized AdS/BCFT Correspondence in Horndeski Gravity
• The effect of three matters on KSS bound
• Holographic Aspects of Non-minimal $R{F}_{\mu \alpha }^{(a)}{F}^{(a)\mu \alpha }$ Black Brane
• Holographic Aspects of Non-minimal $R_{\mu \alpha \nu \beta }{F}^{(a)\mu \alpha }{F}^{(a)\nu \beta }$ AdS Black Brane
• Non-Abelian Exponential Yang-Mills AdS Black Brane and Transport Coefficients
• Effect of primary scalar hair on black hole's strong lensing in Beyond Horndeski Gravity
• Holographic Aspects of Non-minimal $R^3{F}^2$ Black Brane in an EFT Framework