2014/03/31 by Abigail Alvarez, Eloy Ayón-Beato, Hernán A. González +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Critical exponent #Exponent #Logarithm #Noncommutative and Quantum Gravity Theories #Nonlinear system #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep06(2014)041
published as JHEP06(2014)041
openalex publication_date 2014/06/01 · arxiv created 2015/01/27 · arxiv updated 2015/01/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.