Effective geometries and generalized uncertainty principle corrections   to the Bekenstein-Hawking entropy
  In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position, a singularity at the Planck scale is found. Finally, these geometries are shown to be realized by certain model of nonlinear electrodynamics, which resembles previously studied regular black hole solutions. 
Ernesto Contreras, Fabi\'an D. Villalba and Pedro Bargue\~no
gr-qc