Gravity's Rainbow: a bridge towards Horava-Lifshitz gravity
  We investigate the connection between Gravity's Rainbow and Horava-Lifshitz gravity, since both theories incorporate a modification in the UltraViolet regime which improves their quantum behavior at the cost of the Lorentz invariance loss. In particular, extracting the Wheeler-De Witt equations of the two theories in the case of Friedmann-Lemaitre-Robertson-Walker and spherically symmetric geometries, we establish a correspondence that bridges them. 
Remo Garattini (Bergamo U., Ingengneria Dept. & INFN, Milan), Emmanuel   N. Saridakis (Paris, Inst. Astrophys. & Valparaiso ...
gr-qc hep-th