Nonlinearly charged Lifshitz black holes for any exponent z > 1

Abigail Alvarez, Eloy Ayón-Beato, Hernán A. González, Mokhtar Hassaïne

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26 Scopus citations


Charged Lifshitz black holes for the Einstein-Proca-Maxwell system with a negative cosmological constant in arbitrary dimension D are known only if the dynamical critical exponent is fixed as z = 2(D - 2). In the present work, we show that these configurations can be extended to much more general charged black holes which in addition exist for any value of the dynamical exponent z > 1 by considering a nonlinear electrodynamics instead of the Maxwell theory. More precisely, we introduce a two-parametric nonlinear electrodynamics defined in the more general, but less known, so-called (ℍ, P)-formalism and obtain a family of charged black hole solutions depending on two parameters. We also remark that the value of the dynamical exponent z = D - 2 turns out to be critical in the sense that it yields asymptotically Lifshitz black holes with logarithmic decay supported by a particular logarithmic electrodynamics. All these configurations include extremal Lifshitz black holes. Charged topological Lifshitz black holes are also shown to emerge by slightly generalizing the proposed electrodynamics.

Original languageEnglish
Article number41
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2014
Externally publishedYes


  • Black Holes
  • Field Theories in Higher Dimensions
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)


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