Resumen
In higher dimensions, we study degenerate-higher-order-scalar-tensor theories and we derive solutions that resemble the Schwarzschild anti–de Sitter black holes. We compute their thermodynamic quantities following the Wald formalism, satisfying the first law of thermodynamics and a higher dimensional Smarr relation. Constructing a Noether charge with a suitable choice of a spacelike Killing vector, we obtain the shear viscosity of the nongravitational dual field theory, where for a suitable choice of the couplings functions, the Kovtun-Son-Starinets bound is violated. These results are corroborated by the calculation of the Green’s functions following the Kubo formalism.