Analytic Lifshitz black holes in higher dimensions

Details Analytic Lifshitz black holes in higher dimensions Analytic Lifshitz black holes in higher dimensions

2010-01-14

arxiv.org/abs/1001.2361v1

JHEP04(2010)030

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

We generalize the four-dimensional R^2-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.

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