Gravity's Rainbow: a bridge towards Hořava-Lifshitz gravity
Abstract
We investigate the connection between Gravity's Rainbow and Hořava-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-Lemaître-Robertson-Walker and spherically symmetric geometries, we establish a correspondence that bridges them.