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

Understand

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 (2+1)-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.