Scale-dependent planar anti-de Sitter black hole

Abstract

In this work, we investigate four-dimensional planar black-hole solutions in anti-de Sitter spacetimes in light of the so-called scale-dependent scenario. To obtain this new family of solutions, the classical couplings of the theory, i.e., the gravitational coupling G0 and the cosmological constant $ \Lambda_{0}$, are not taken to be fixed values anymore. Thus, those classical parameters evolve to functions which change along the “height” coordinate, z . The effective Einstein field equations are solved, and the results are analyzed and compared with the classical counterpart. Finally, some thermodynamic properties of the presented scale-dependent black hole are investigated.