Magnetized AdS/BCFT Correspondence in Horndeski Gravity

This work presents a study of the thermodynamics and hydrodynamics of a five-dimensional black hole in the presence of an external magnetic field. The solution is the gravity dual to the Anti-de Sitter/Boundary Conformal Field Theory correspondence, and with it, we will study the properties of an anisotropic fluid. Using holographic renormalization, we compute the free energy and the holographic stress tensor residing on the boundary Q. From the point of view of the fluid/gravity correspondence, we have a class of boundary extensions existing in Q, for which the stress-energy tensor describes a magnetizing conformal fluid. We discuss the characteristics of this special solution and its thermodynamic properties, for example, the bulk and shear viscosity, the square of the speed of sound, as well as the anisotropic properties produced by the magnetic field in the magnetized conformal plasma.