Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
arXiv:1403.0946 · doi:10.1007/JHEP04(2014)056
Abstract
In this paper, we study static vacuum solutions of quantum gravity at a fixed Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in closed forms in the infrared limit. The exact solutions represent spacetimes with very rich structures: they can represent generalized BTZ black holes, Lifshitz space-times or Lifshitz solitons, in which the spacetimes are free of any kind of space-time singularities, depending on the choices of the free parameters of the solutions. We also find several classes of exact static non-diagonal solutions, which represent similar space-time structures as those given in the diagonal case. The relevance of these solutions to the non-relativistic Lifshitz-type gauge/gravity duality is discussed.
revtex4, 5 figures. Typos are corrected
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- Three-dimensional charged Einstein-aether black holes and Smarr formula
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- Dispersion relation and surface gravity of universal horizons
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- Asymptotic flatness and nonflat solutions in the critical 2+1 Horava theory
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- Exact analytic solutions in 2+1 Hořava gravity with cosmological constant