Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four dimensional Einstein-power-Maxwell black hole solutions in
  scale-dependent gravity   In the present work, we extend and generalize our previous work regarding the
scale dependence applied to black holes in the presence of non-linear
electrodynamics [1]. The starting point for this study is the
Einstein-power-Maxwell theory with a vanishing cosmological constant in (3+1)
dimensions, assuming a scale dependence of both the gravitational and the
electromagnetic coupling. We further examine the corresponding thermodynamic
properties and how these quantities experience deviations from their classical
counterparts. We solve the effective Einstein's field equations using the "null
energy condition" to obtain analytical solutions. The implications of quantum
corrections are also briefly discussed. Finally, we analyze our solutions and
compare them to related results in the literature.

4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess