Analytic Lifshitz black holes in higher dimensions
Jan, 2010
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Abstract: (arXiv)
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.Note:
- 14 pages
- AdS-CFT Correspondence
- Black Holes
- dimension: 4
- dimension: 3
- curvature: correction
- gravitation: model
- black hole: any-dimensional
- critical phenomena
- holography
- black hole: Horava-Lifshitz
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