Geometry of a generalized uncertainty-inspired spacetime

We examine the geometry of a generalized uncertainty-inspired quantum black hole. The diagonal line element is not $t\text{\ensuremath{-}}r$ symmetric, i.e., ${g}_{00}\ensuremath{\ne}\ensuremath{-}1/{g}_{11}$, which leads to an interesting approach to resolving the classical curvature singularity. In this paper, we show, in Schwarzschild coordinates, that the $r=0$ coordinate location is a null surface which is not a transition surface or leads to a black bounce. We find the expansion of null geodesic congruences in the interior turn around then vanishes at $r=0$, and the energy conditions are predominately violated, indicating a repulsive gravitational core. In addition, we show that the line element admits a wormhole solution which is not traversable, and the black hole at its vanishing horizon radius could be interpreted as a remnant.