The final stage of gravitationally collapsed thick matter layers

  • 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, M >= Me, where Me 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.

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Metadaten
Author:Piero NicoliniORCiDGND, Alessio OrlandiORCiD, Euro SpallucciORCiD
URN:urn:nbn:de:hebis:30:3-366242
DOI:https://doi.org/10.1155/2013/812084
ISSN:1687-7365
Parent Title (English):Advances in high energy physics
Publisher:Hindawi
Place of publication:New York, NY
Document Type:Article
Language:English
Year of Completion:2013
Year of first Publication:2013
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2015/02/18
Volume:2013
Issue:Article ID 812084
Page Number:9
First Page:1
Last Page:8
Note:
Copyright © 2013 Piero Nicolini et al. This is an open access article distributed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/ , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
HeBIS-PPN:368190005
Institutes:Physik / Physik
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 3.0