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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2013-01-01
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Series: | Advances in High Energy Physics |
Online Access: | http://dx.doi.org/10.1155/2013/812084 |
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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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