I. INTRODUCTION The area of quantum gravity has not yet converged into a single theory and at present several rival theories co-exist. Nevertheless, certain common or global features like noncom- mutativity at lengths less than 10 − $^{16}$cm [1, 2], a new uncertainty principle including gravity effects [3], the avoidance of physical singularities [5] (e.g. replaced in the noncommutative geometry by a deSitter core), black hole remnants [4] etc. are expected. The noncommuta- tive aspect of spacetime has been recently applied to the final state of a black hole [1, 6–10]. The starting point of these new developments is the commutation relation [ x $^{µ}$, x$^{ν}$] = θ $^{µν}$. Based on such a commutation relation one can show that one of the effect of non commu- tativity is to replace point-like objects by de-localized matter sources which turn to be of Gaussian form. Following [10, 12, 13] we can take, instead of the point mass M , described by a δ -function distribution, a static, spherically symmetric, Gaussian-smeared matter source where D > 0 is the dimension of the underlying manifold. This observation gave rise to new models of mini black holes [1, 6–11] where the singularity at the origin is replaced by a self-gravitating droplet. Although the issue of smearing point-like structures might not be the only fingerprint of the noncommutative geometry, these models explicitly reveal its importance. For instance, the central singularity is replaced by a deSitter core (droplet) and the metric can have two horizons depending whether the black hole mass exceeds a certain critical mass [7]. In Schwarzschild coordinates, these horizons leave unphysical singularities in the metric components. We will present a coordinates extension in the following sections of the paper. It is therefore of some importance to find a maximal atlas for this metric and its interpretation. For any metric in General Relativity with apparent unphysical singularities there is a continued interest in finding maximal singularity-free extensions [14–16]. Such maximal atlases often shed new light on the manifold under consideration. In particular, this is true for metrics which are partly motivated by a quantum mechanical property such as the noncommutativity of the coordinate operators. New phenomena closely related to this quantum nature of spacetime can emerge. Indeed, for the metric inspired by noncommutative geometry which we study in the present paper, the maximal atlas reveals the existence of black hole tunnels connecting parallel universes. 2 ρ = M (4 πθ ) D/ $_{2}$e − $_{r}$2 4 θ ,