2010/01/14 by Eloy Ayón-Beato, Eloy Ayón–Beato, Alan Garbarz +4 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Context (archaeology) #Cosmology and Gravitation Theories #Critical exponent #Curvature #Dimension (graph theory) #Exponent #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Phase transition #Physics #Pure mathematics #Quadratic equation #Quantum mechanics #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep04(2010)030
published as JHEP 1004:030,2010 · 14 pages
arxiv created 2010/01/14 · openalex publication_date 2010/04/01 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We generalize the four-dimensional R2-corrected z=3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the first example of an extremal Lifshitz black hole. An asymptotically Lifshitz black hole with a logarithmic decay is also exhibited for a specific critical exponent depending on the dimension. We extend this analysis to the more general quadratic curvature corrections for which we present three new families of higher-dimensional D>=5 analytic Lifshitz black holes for generic z. One of these higher-dimensional families contains as critical limits the z=3 three-dimensional Lifshitz black hole and a new z=6 four-dimensional black hole. The variety of analytic solutions presented here encourages to explore these gravity models within the context of non-relativistic holographic correspondence.