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

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arxiv 1411.7257 v1 pith:J6HQQFBR submitted 2014-11-25 gr-qc hep-th

classification gr-qchep-th
keywords gravityhorava-lifshitzrainbowtheoriesbehaviorbridgebridgescase
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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.

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