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

## TL;DR

This paper explores how generalized uncertainty principles influence higher-dimensional black hole spacetimes, revealing new solutions, end states of evaporation, and a self-complete gravity framework with unique evaporation signatures.

## Contribution

It introduces a family of black hole solutions incorporating GUP effects in higher dimensions, including a novel exact solution with a monopole and a self-complete gravity paradigm.

## Key findings

- Exact black hole solution with a monopole at the origin.
- Black hole evaporation ends in a monopole, not a singularity.
- Black holes exhibit a fluctuating luminosity during evaporation.

## Abstract

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 emerging from GUP, including the original Kempf-Mangano-Mann (KMM) proposal. By following the KMM model we derive a family of black hole spacetimes. The case of five spacetime dimensions is a special one. We found an exact black hole solution with a Barriola-Vilenkin monopole at the origin. This object turns out to be the end point of the black hole evaporation. 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 characterized by a fluctuating luminosity, which we dub a lighthouse effect.