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On the True Nature of Renormalizability in Horava-Lifshitz Gravity
Authors:Fabio Briscese  Yeinzon Rodríguez  Guillermo A. González
Affiliation:1. Escuela de Física, Universidad Industrial de Santander, Ciudad Universitaria, Bucaramanga, 680002, Colombia
2. Istituto Nazionale di Alta Matematica Francesco Severi, Gruppo Nazionale di Fisica Matematica, Città Universitaria, c.a.p., 00185, Rome, Italy
3. Centro de Investigaciones, Universidad Antonio Nari?o, Cra 3 Este # 47A-15, Bogotá D.C., 110231, Colombia
Abstract: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.
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