The generalized uncertainty principle discloses a self-complete characteristic of gravity, namely the possibility of masking any curvature singularity behind an event horizon as a result of matter compression at the Planck scale. In this paper we extend the above reasoning in order to overcome some current limitations to the framework, including the absence of a consistent metric describing such Planck-scale black holes. We implement a minimum-size black hole in terms of the extremal configuration of a neutral non-rotating metric, which we derived by mimicking the effects of the generalized uncertainty principle via a short scale modified version of Einstein gravity. In such a way, we find a self-consistent scenario that reconciles the self-complete character of gravity and the generalized uncertainty principle.
© SISSA, Trieste, Italy 2013. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
Isi, M., Mureika, J. & Nicolini, P. J. High Energ. Phys. (2013) 2013: 139. doi:10.1007/JHEP11(2013)139