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...

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Main Authors: Piero Nicolini, Alessio Orlandi, Euro Spallucci
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/812084
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spelling doaj-3609fdb5f27a4e76b4a07d95cf22fcd22020-11-24T22:58:15ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/812084812084The Final Stage of Gravitationally Collapsed Thick Matter LayersPiero Nicolini0Alessio Orlandi1Euro Spallucci2Frankfurt Institute for Advanced Studies (FIAS) and Institute for Theoretical Physics, Johann Wolfgang Goethe University, D-60438 Frankfurt am Main, GermanyDipartimento di Fisica, Università di Bologna and INFN, I-40126 Bologna, ItalyDipartimento di Fisica, Università di Trieste and INFN, I-34151 Trieste, ItalyIn 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.http://dx.doi.org/10.1155/2013/812084
collection DOAJ
language English
format Article
sources DOAJ
author Piero Nicolini
Alessio Orlandi
Euro Spallucci
spellingShingle Piero Nicolini
Alessio Orlandi
Euro Spallucci
The Final Stage of Gravitationally Collapsed Thick Matter Layers
Advances in High Energy Physics
author_facet Piero Nicolini
Alessio Orlandi
Euro Spallucci
author_sort Piero Nicolini
title The Final Stage of Gravitationally Collapsed Thick Matter Layers
title_short The Final Stage of Gravitationally Collapsed Thick Matter Layers
title_full The Final Stage of Gravitationally Collapsed Thick Matter Layers
title_fullStr The Final Stage of Gravitationally Collapsed Thick Matter Layers
title_full_unstemmed The Final Stage of Gravitationally Collapsed Thick Matter Layers
title_sort final stage of gravitationally collapsed thick matter layers
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/812084
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