Planar black holes configurations and shear viscosity in arbitrary dimensions with shift and reflection symmetric scalar-tensor theories
Moisés Bravo‐Gaete, M. M. Stetsko
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.
Topics & Concepts
Scalar fieldFormalism (music)PlanarPhysicsClassical mechanicsShear (geology)Scalar (mathematics)Tensor (intrinsic definition)Scalar–tensor theoryMathematical physicsTheoretical physicsMathematicsGeometryMaterials scienceComposite materialArtVisual artsComputer scienceComputer graphics (images)MusicalBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research