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We investigate the connection between Gravity's Rainbow and Horava-Lifshitzgravity, since both theories incorporate a modification in the UltraVioletregime which improves their quantum behavior at the cost of the Lorentzinvariance loss. In particular, extracting the Wheeler-De Witt equations of thetwo theories in the case of Friedmann-Lemaitre-Robertson-Walker and sphericallysymmetric geometries, we establish a correspondence that bridges them.

Gravity's Rainbow: a bridge towards Horava-Lifshitz gravity