Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions
Moisés Bravo‐Gaete, Fabiano F. Santos, Henrique Boschi-Filho
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 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.
Topics & Concepts
PhysicsNoether's theoremMathematical physicsClassical mechanicsGravitationFormalism (music)Schwarzschild radiusDegenerate energy levelsTheoretical physicsQuantum mechanicsLagrangianMusicalArtVisual artsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research