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: Wiley 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/898916
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author Benrong Mu
Peng Wang
Haitang Yang
author_facet Benrong Mu
Peng Wang
Haitang Yang
author_sort Benrong Mu
collection DOAJ
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.
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institution Kabale University
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-43401e2a6f154ce892bf496d3b5bd87d2025-08-20T03:35:57ZengWileyAdvances 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
spellingShingle Benrong Mu
Peng Wang
Haitang Yang
Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
Advances in High Energy Physics
title 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_short Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
title_sort minimal length effects on tunnelling from spherically symmetric black holes
url http://dx.doi.org/10.1155/2015/898916
work_keys_str_mv AT benrongmu minimallengtheffectsontunnellingfromsphericallysymmetricblackholes
AT pengwang minimallengtheffectsontunnellingfromsphericallysymmetricblackholes
AT haitangyang minimallengtheffectsontunnellingfromsphericallysymmetricblackholes