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Advances in High Energy Physics
Volume 2013 (2013), Article ID 812084, 8 pages
Research Article

The Final Stage of Gravitationally Collapsed Thick Matter Layers

1Frankfurt Institute for Advanced Studies (FIAS) and Institute for Theoretical Physics, Johann Wolfgang Goethe University, D-60438 Frankfurt am Main, Germany
2Dipartimento di Fisica, Università di Bologna and INFN, I-40126 Bologna, Italy
3Dipartimento di Fisica, Università di Trieste and INFN, I-34151 Trieste, Italy

Received 17 September 2013; Accepted 8 November 2013

Academic Editor: Emil Akhmedov

Copyright © 2013 Piero Nicolini et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In the presence of a minimal length, physical objects cannot collapse to an infinite density, singular, matter point. In this paper, we consider the possible final stage of the gravitational collapse of “thick” matter layers. The energy momentum tensor we choose to model these shell-like objects is a proper modification of the source for “noncommutative geometry inspired,” regular black holes. By using higher momenta of Gaussian distribution to localize matter at finite distance from the origin, we obtain new solutions of the Einstein equation which smoothly interpolates between Minkowski’s geometry near the center of the shell and Schwarzschild’s spacetime far away from the matter layer. The metric is curvature singularity free. Black hole type solutions exist only for “heavy” shells; that is, , where is the mass of the extremal configuration. We determine the Hawking temperature and a modified area law taking into account the extended nature of the source.