An application of Lorentz-invariance violation in black hole thermodynamics
Abstract In this paper, we have applied the Lorentz-invariance violation (LIV) class of dispersion relations (DRs) with the dimensionless parameter $$\textit{n}=2$$ n=2 and the “sign of LIV” $$\eta _+ = 1$$ η+=1 , to a phenomenological study of the effect of quantum gravity in a strong gravitational...
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doaj-472223738aca47fd947fc6c5c97d8ff62020-11-25T00:33:51ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-10-01771011010.1140/epjc/s10052-017-5220-zAn application of Lorentz-invariance violation in black hole thermodynamicsGuo-Ping Li0Jin Pu1Qing-Quan Jiang2Xiao-Tao Zu3School of Physical Electronics, University of Electronic Science and Technology of ChinaSchool of Physical Electronics, University of Electronic Science and Technology of ChinaCollege of Physics and Space Science, China West Normal UniversitySchool of Physical Electronics, University of Electronic Science and Technology of ChinaAbstract In this paper, we have applied the Lorentz-invariance violation (LIV) class of dispersion relations (DRs) with the dimensionless parameter $$\textit{n}=2$$ n=2 and the “sign of LIV” $$\eta _+ = 1$$ η+=1 , to a phenomenological study of the effect of quantum gravity in a strong gravitational field. Specifically, we have studied the effect of the LIV-DR induced quantum gravity on the Schwarzschild black hole thermodynamics. The result shows that the effect of the LIV-DR induced quantum gravity speeds up the black hole evaporation, and its corresponding black hole entropy undergoes a leading logarithmic correction to the “reduced Bekenstein–Hawking entropy”, and the ill-defined situations (i.e. the singularity problem and the critical problem) are naturally bypassed when the LIV-DR effect is present. Also, to put our results in a proper perspective, we have compared results with the earlier findings by another quantum-gravity candidate, i.e. the generalized uncertainty principle (GUP). Finally, we conclude from the inert remnants at the final stage of the black hole evaporation that, the GUP as a candidate for describing quantum gravity can always do as well as the LIV-DR by adjusting the model-dependent parameters, but in the same model-dependent parameters the LIV-DR acts as a more suitable candidate.http://link.springer.com/article/10.1140/epjc/s10052-017-5220-z |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Guo-Ping Li Jin Pu Qing-Quan Jiang Xiao-Tao Zu |
spellingShingle |
Guo-Ping Li Jin Pu Qing-Quan Jiang Xiao-Tao Zu An application of Lorentz-invariance violation in black hole thermodynamics European Physical Journal C: Particles and Fields |
author_facet |
Guo-Ping Li Jin Pu Qing-Quan Jiang Xiao-Tao Zu |
author_sort |
Guo-Ping Li |
title |
An application of Lorentz-invariance violation in black hole thermodynamics |
title_short |
An application of Lorentz-invariance violation in black hole thermodynamics |
title_full |
An application of Lorentz-invariance violation in black hole thermodynamics |
title_fullStr |
An application of Lorentz-invariance violation in black hole thermodynamics |
title_full_unstemmed |
An application of Lorentz-invariance violation in black hole thermodynamics |
title_sort |
application of lorentz-invariance violation in black hole thermodynamics |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2017-10-01 |
description |
Abstract In this paper, we have applied the Lorentz-invariance violation (LIV) class of dispersion relations (DRs) with the dimensionless parameter $$\textit{n}=2$$ n=2 and the “sign of LIV” $$\eta _+ = 1$$ η+=1 , to a phenomenological study of the effect of quantum gravity in a strong gravitational field. Specifically, we have studied the effect of the LIV-DR induced quantum gravity on the Schwarzschild black hole thermodynamics. The result shows that the effect of the LIV-DR induced quantum gravity speeds up the black hole evaporation, and its corresponding black hole entropy undergoes a leading logarithmic correction to the “reduced Bekenstein–Hawking entropy”, and the ill-defined situations (i.e. the singularity problem and the critical problem) are naturally bypassed when the LIV-DR effect is present. Also, to put our results in a proper perspective, we have compared results with the earlier findings by another quantum-gravity candidate, i.e. the generalized uncertainty principle (GUP). Finally, we conclude from the inert remnants at the final stage of the black hole evaporation that, the GUP as a candidate for describing quantum gravity can always do as well as the LIV-DR by adjusting the model-dependent parameters, but in the same model-dependent parameters the LIV-DR acts as a more suitable candidate. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-017-5220-z |
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