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Abstract This work examines the thermodynamics and hydrodynamics behaviors of a five‐dimensional black hole under the influence of an external magnetic field. The solution is the gravity dual to the Anti‐de Sitter/Boundary Conformal Field Theory correspondence, enabling the study of properties within an anisotropic fluid framework. Utilizing holographic renormalization, the free energy and the holographic stress tensor residing on the boundary denoted as are computed. Within the fluid/gravity correspondence framework, authors have a class of boundary extensions in , where the stress‐energy tensor describes a magnetizing conformal fluid. The characteristics of this special solution as well as its thermodynamic properties, including the bulk and shear viscosity, the square of the speed of sound, as well as the anisotropic effects induced by the magnetic field in the magnetized conformal plasma are discussed.
Santos et al. (Tue,) studied this question.