Eur. Phys. J. Plus (2019) 134: 557
https://doi.org/10.1140/epjp/i2019-13081-5

Regular Article

Scale-dependent planar anti-de Sitter black hole

¹ Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla, 4059, Valparaiso, Chile
² School of Physical Sciences and Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador
³ Departamento de Física, Universidad de los Andes, Cra.1E No.18A-10, Bogotá, Colombia
⁴ Instituto de Física, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna, 4860, Santiago, Chile
⁵ Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8, A-1040, Vienna, Austria

^* e-mail: angel.rincon@pucv.cl

Received: 12 January 2019
Accepted: 8 August 2019
Published online: 8 November 2019

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 , 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.