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On the true nature of renormalizability in Horava-Lifshitz gravity
We argue that the true nature of the renormalizability of Horava-Lifshitz
gravity lies in the presence of higher order spatial derivatives and not in the
anisotropic Lifshitz scaling of space and time. We discuss the possibility of
constructing a higher order spatial derivatives model that has the same
renormalization properties of Horava-Lifshitz gravity but that does not make
use of the Lifshitz scaling. In addition, the state-of-the-art of the Lorentz
symmetry restoration in Horava-Lifshitz-type theories of gravitation is
reviewed.Comment: Latex file in Revtex style, 5 pages, no figures. v2: references
added, version accepted for publication in Foundations of Physic