Absence of an effective Horizon for black holes in Gravity's Rainbow

Abstract

We argue that the divergence in time for the asymptotic observer occurs\nbecause of specifying the position of the Horizon beyond the Planck scale. In\nfact, a similar divergence in time will also occur for an in-going observer in\nGravity's Rainbow, if we again specify the position of the Horizon beyond the\nPlanck scale. On the other hand, if we accept the occurrence of a minimum\nmeasurable length scale associated with a universal invariant maximum energy\nscale in Gravity's Rainbow, then the time taken by both the in-going and\nasymptotic observers will be finite.\n