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We propose an alternative description of the Schwarzschild black hole basedon the requirement that the solution be static not only outside the horizon butalso inside it. As a consequence of this assumption, we are led to a change ofsignature implying a complex transformation of an angle variable. There is a"phase transition" on the surface R=2m, producing a change in the symmetry aswe cross this surface. Some consequences of this situation on the motion oftest particles are investigated.

An alternative approach to the static spherically symmetric vacuum global solution to the Einstein's equations