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 because of specifying the position of the Horizon beyond the Planck scale. In fact, a similar divergence in time will also occur for an in-going observer in Gravity's Rainbow, if we again specify the position of the Horizon beyond the Planck scale. On the other hand, if we accept the occurrence of a minimum measurable length scale associated with a universal invariant maximum energy scale in Gravity's Rainbow, then the time taken by both the in-going and asymptotic observers will be finite.

5 pages, revtex4, no figures, to appear in Europhysics Letters

References in corpus (5)

• Discreteness of Space from the Generalized Uncertainty Principle
• Minimum Length Cutoff in Inflation and Uniqueness of the Action
• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory

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