Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes

We investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressions. The m...

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Main Authors: Benrong Mu, Peng Wang, Haitang Yang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/898916
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spelling doaj-43401e2a6f154ce892bf496d3b5bd87d2020-11-24T22:40:53ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/898916898916Minimal Length Effects on Tunnelling from Spherically Symmetric Black HolesBenrong Mu0Peng Wang1Haitang Yang2School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaWe investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressions. The minimal length correction to the Hawking temperature is found to depend on the black hole’s mass and the mass and angular momentum of emitted particles. Finally, we calculate a Schwarzschild black hole's luminosity and find the black hole evaporates to zero mass in infinite time.http://dx.doi.org/10.1155/2015/898916
collection DOAJ
language English
format Article
sources DOAJ
author Benrong Mu
Peng Wang
Haitang Yang
spellingShingle Benrong Mu
Peng Wang
Haitang Yang
Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
Advances in High Energy Physics
author_facet Benrong Mu
Peng Wang
Haitang Yang
author_sort Benrong Mu
title Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
title_short Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
title_full Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
title_fullStr Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
title_full_unstemmed Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
title_sort minimal length effects on tunnelling from spherically symmetric black holes
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2015-01-01
description We investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressions. The minimal length correction to the Hawking temperature is found to depend on the black hole’s mass and the mass and angular momentum of emitted particles. Finally, we calculate a Schwarzschild black hole's luminosity and find the black hole evaporates to zero mass in infinite time.
url http://dx.doi.org/10.1155/2015/898916
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AT pengwang minimallengtheffectsontunnellingfromsphericallysymmetricblackholes
AT haitangyang minimallengtheffectsontunnellingfromsphericallysymmetricblackholes
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