Scale-dependent ( $$2+1$$ 2 + 1 )-dimensional electrically charged black holes in Einstein-power-Maxwell theory

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-powerMaxwell 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.

Scale-dependent planar anti-de Sitter black hole

“…This choice seems peculiar, since one usually expects k ∼ 1/z for dimensional reasons. Similar results have been found in [46][47][48][49][50][51][52][53][54][55][56][57][58][59] but the deeper reason behind this result is still unknown . An important hint for solving this riddle could come from considering the dimensionless product G(k) ·Λ (k) instead of the individual dimensionful quantities as discussed in [73].…”

Photon trajectories on a first order scale-dependent static BTZ black hole

“…Returning to the general equation (32) we must distinguish the different possible cases based on the disposition of the roots of the polynomial g(u) = 0. In order to obtain a qualitative analysis of the allowed motion we refers to the Fig.1.…”

Five-dimensional scale-dependent black holes with constant curvature and Solv horizons

“…During the last years, scale-dependent gravity has been used to construct black hole backgrounds both by improving classical solutions with the scale dependent couplings from Asymptotic Safety [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73] and by solving the gap equations of a generic scale-dependent action [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. This last approach has revealed certain non-trivial features regarding the black hole entropy and the energy conditions.…”

“…Therefore, it is our interest to model, if possible, the event horizon of certain black holes beyond General Relativity by some of the eight Thurston three-geometries. As a preliminary step in order to attack more general cases, in this work we will consider black hole solutions embedded in the so-called scale-dependent gravity [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] which, as it is well known, has become an alternative tool to introduce semiclassical corrections in black hole solutions in 2 + 1 and 3 + 1 dimensional spacetimes.…”