Eur. Phys. J. C (2017) 77: 494
https://doi.org/10.1140/epjc/s10052-017-5045-9

Regular Article - Theoretical Physics

Scale-dependent three-dimensional charged black holes in linear and non-linear electrodynamics

¹ Instituto de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna, 4860, Santiago, Chile
² Departamento de Física, Universidad de los Andes, Apartado Aéreo, 4976, Bogotá, Distrito Capital, Colombia
³ CENTRA, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco País 1, Lisboa, Portugal

^* e-mail: arrincon@uc.cl

Received: 29 April 2017
Accepted: 3 July 2017
Published online: 25 July 2017

Abstract

In the present work we study the scale dependence at the level of the effective action of charged black holes in Einstein–Maxwell as well as in Einstein–power-Maxwell theories in -dimensional spacetimes without a cosmological constant. We allow for scale dependence of the gravitational and electromagnetic couplings, and we solve the corresponding generalized field equations imposing the null energy condition. Certain properties, such as horizon structure and thermodynamics, are discussed in detail.