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arXiv · 2201.07961

Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions

Moisés Bravo-Gaete·Fabiano F. Santos·Henrique Boschi-Filho
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Abstract

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 space-like Killing vector, we obtain the shear viscosity of the non-gravitational 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.

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Moisés Bravo-Gaete, Fabiano F. Santos, Henrique Boschi-Filho. 2022-08-31. Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions. https://doi.org/10.1103/physrevd.106.066010

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