Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity

In this paper we consider generalized uncertainty principle (GUP) effects in higher dimensional black hole spacetimes via a nonlocal gravity approach. We study three possible modifications of momentum space measure emerg- ing from GUP, including the original Kempf-Mangano-Mann (KMM) pro- posal. By following the KMM model we derive a family of black hole space- times. The case of five spacetime dimensions is a special one. We found an exact black hole solution with a Barriola-Vilenkin monopole at the ori- gin. This object turns out to be the end point of the black hole evapora- tion. Interestingly for smaller masses, we found a “naked monopole” rather than a generic naked singularity. We also show that the Carr-Lake-Casadio- Scardigli proposal leads to mild modifications of spacetime metrics with respect to the Schwarzschild-Tangherlini solution. Finally, by demanding the same degree of convergence in the ultraviolet regime for any spacetime dimension, we derive a family of black hole solutions that fulfill the gravity self-completeness paradigm. The evaporation of such black holes is charac- terized by a fluctuating luminosity, which we dub a lighthouse effect.