Abstract
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 (2+1) 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.
Highlights
Three-dimensional gravity is attracting a lot of attention for several reasons
In the present article we have studied the effect of scale dependent couplings on charged black holes in the presence of three-dimensional Einstein-power-Maxwell nonlinear electrodynamics for any value of the power parameter, extending and generalizing a previous work
First we presented the model and the classical black hole solution assuming static circular symmetry, and we allowed for a scale dependence of the couplings, both the electromagnetic and the gravitational one
Summary
Three-dimensional gravity is attracting a lot of attention for several reasons. On one hand due to the deep connection to Yang–Mills and Chern–Simons theory [1,2,3]. As scale dependence at the level of the effective action is a generic result of quantum field theory, the resulting effective action of scale-dependent gravity is expected to modify the properties of classical black hole backgrounds It is the aim of this work to study the scale dependence at the level of the effective action of three-dimensional charged black holes in the presence of the Einstein-power-Maxwell non-linear electrodynamics for any value of the power parameter, extending and generalizing previous work [49], where we imposed the traceless condition β = 3/4.
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