Gravitational collapsing dark energy forming naked singularity and white hole

We present in this work the study of the gravitational collapse of an anisotropic fluid with homothetic self-similarity of the second kind. We found a class of solution to the Einstein field equations by assuming an equation of state where the density of the fluid is proportional to its (negative) radial pressure and that the fluid moves along time-like geodesics. The energy conditions, geometrical and physical properties of the solutions are studied. We have found that, depending on the parameter a, they may represent a black hole, a naked singularity, or a Big Rip cosmological model. Note that there is an incoherence between the original title and the presented final results. We have found news results, since the submission of this work, that changed significantly its conclusions, as we have shown in the poster session. (author)