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We consider asymmetrically warped brane models, or equivalently brane modelswhere the background metric is characterized by different time and space warpfactors. The main feature of these models is that 4D Lorentz symmetry isviolated for fields which propagate in the bulk, such as gravitons. In thispaper we examine the case of bulk photons in asymmetrically warped branemodels. Although our results are general, we examine here two specific butcharacteristic solutions: 1) AdS-Schwarzschild 5D Black Hole solution and 2)AdS-Reissner Nordstrom 5D Black Hole solution. We show that the standardLorentz invariant dispersion relation for 4D photons is corrected by nonlinearterms which lead to an Energy-dependent speed of light. Specifically, we obtaina sub-luminous Energy-dependent refractive index of the formn_{eff}(\omega)=1+c_{G} \omega^2, where \omega is the energy of the photon, andthe factor c_G is always positive and depends on the free parameters of themodel. Finally, comparing the results with recent data from the MAGICTelescope, claiming a delayed arrival of photons from the Active GalacticNucleus of Mk501, we impose concrete restrictions to the two sets of modelsexamined in this work. We shall also discuss briefly other possibleastrophysical constraints on our models.

Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index