# Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry 

I. Arraut $^{1}$, D. Batic2 , 3 and M. Nowakowski 1 

1 Departamento de Fisica, Universidad de los Andes, Cra.1E No.18A-10, Bogota, Colombia 

2 Departamento de Matematicas, Universidad de los Andes, Cra 1E, No. 18A-10, Bogota, Colombia 

3 Department of Mathematics, University of West Indies at Mona, Kingston 6, Jamaica 

## Abstract 

We derive a transformation of the noncommutative geometry inspired Schwarzschild solution into new coordinates such that the apparent unphysical singularities of the metric are removed. Moreover, we give the maximal singularity-free atlas for the manifold with the metric under con- sideration. This atlas reveals many new features e.g. it turns out to describe an infinite lattice of asymptotically flat universes connected by black hole tunnels. 

