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- W3100833464 abstract "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,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>M</mml:mi><mml:mi> </mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math>, where<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>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." @default.
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- W3100833464 date "2013-01-01" @default.
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- W3100833464 title "The Final Stage of Gravitationally Collapsed Thick Matter Layers" @default.
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- W3100833464 doi "https://doi.org/10.1155/2013/812084" @default.
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