Four dimensional Einstein-power-Maxwell black hole solutions in scale-dependent gravity

Ángel Rincón, Ernesto Contreras, Pedro Bargueño, Benjamin Koch, Grigoris Panotopoulos

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 (Rincón et al., 2017). 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.

Original languageEnglish
Article number100783
JournalPhysics of the Dark Universe
StatePublished - Jan 2021


  • 3+1 dimensions
  • Black holes
  • Exact Solutions
  • Non-linear electrodynamics
  • Scale-dependence


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