https://doi.org/10.1140/epjc/s10052-018-6106-4
Regular Article - Theoretical Physics
Scale-dependent (
)-dimensional electrically charged black holes in Einstein-power-Maxwell theory
1
Instituto de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago, Chile
2
Facultad de Ciencias Naturales y Matemáticas, Escuela Superior Politécnica del Litoral, ESPOL, Apartado Postal 09-01-5863, Campus Gustavo Galindo Km 30.5 Vía Perimetral, Guayaquil, Ecuador
3
Departamento de Física, Universidad de los Andes, Apartado Aéreo 4976, Bogotá, Distrito Capital, Colombia
4
Centro de Astrofísica e Gravitação, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
* e-mail: arrincon@uc.cl
Received:
27
April
2018
Accepted:
26
July
2018
Published online:
10
August
2018
In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory without a cosmological constant in () dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale-dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the “null energy condition” in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.
© The Author(s), 2018