Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity
In this work, we conduct a study regarding the thermodynamic evolution and the phase transition of a black hole in a finite spherical cavity subject to the generalized uncertainty principle. The results demonstrate that both the positive and negative generalized uncertainty principle parameters β0 c...
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Frontiers Media S.A.
2022-05-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.887410/full |
| _version_ | 1818551518812438528 |
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| author | Xia Zhou Zhong-Wen Feng Shi-Qi Zhou |
| author_facet | Xia Zhou Zhong-Wen Feng Shi-Qi Zhou |
| author_sort | Xia Zhou |
| collection | DOAJ |
| description | In this work, we conduct a study regarding the thermodynamic evolution and the phase transition of a black hole in a finite spherical cavity subject to the generalized uncertainty principle. The results demonstrate that both the positive and negative generalized uncertainty principle parameters β0 can significantly affect the thermodynamic quantities, stability, critical behavior, and phase transition of the black hole. For β0 > 0, the black hole forms a remnant with finite temperature, finite mass, and zero local heat capacity in the last stages of evolution, which can be regarded as an elementary particle. Meanwhile, it undergoes one second-order phase transition and two Hawking-Page-type phase transitions. The Gross-Perry-Yaffe phase transition occurs for both large black hole configuration and small black hole configuration. For β0 < 0, the Gross-Perry-Yaffe phase transition occurs only for large black hole configuration, and the temperature and heat capacity of the black hole remnant is finite, whereas its mass is zero. This indicates the remnant is metastable and would be in the Hawking-Page-type phase transition forever. Specifically, according to the viewpoint of corpuscular gravity, the remnant can be interpreted as an additional metastable tiny black hole configuration, which never appears in the original case and the positive correction case. |
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| format | Article |
| id | doaj.art-7f72058c26854adb8974e6597d4a762c |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-12T09:00:58Z |
| publishDate | 2022-05-01 |
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| spelling | doaj.art-7f72058c26854adb8974e6597d4a762c2022-12-22T00:29:50ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-05-011010.3389/fphy.2022.887410887410Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a CavityXia Zhou0Zhong-Wen Feng1Shi-Qi Zhou2School of Physics and Astronomy, China West Normal University, Nanchong, ChinaSchool of Physics and Astronomy, China West Normal University, Nanchong, ChinaSchool of Physics and Astronomy, Sun Yat-SenUniversity, Zhuhai, ChinaIn this work, we conduct a study regarding the thermodynamic evolution and the phase transition of a black hole in a finite spherical cavity subject to the generalized uncertainty principle. The results demonstrate that both the positive and negative generalized uncertainty principle parameters β0 can significantly affect the thermodynamic quantities, stability, critical behavior, and phase transition of the black hole. For β0 > 0, the black hole forms a remnant with finite temperature, finite mass, and zero local heat capacity in the last stages of evolution, which can be regarded as an elementary particle. Meanwhile, it undergoes one second-order phase transition and two Hawking-Page-type phase transitions. The Gross-Perry-Yaffe phase transition occurs for both large black hole configuration and small black hole configuration. For β0 < 0, the Gross-Perry-Yaffe phase transition occurs only for large black hole configuration, and the temperature and heat capacity of the black hole remnant is finite, whereas its mass is zero. This indicates the remnant is metastable and would be in the Hawking-Page-type phase transition forever. Specifically, according to the viewpoint of corpuscular gravity, the remnant can be interpreted as an additional metastable tiny black hole configuration, which never appears in the original case and the positive correction case.https://www.frontiersin.org/articles/10.3389/fphy.2022.887410/fullgeneralized uncertainty principleblack holephase transitionthermodynamic evolutionremnant |
| spellingShingle | Xia Zhou Zhong-Wen Feng Shi-Qi Zhou Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity Frontiers in Physics generalized uncertainty principle black hole phase transition thermodynamic evolution remnant |
| title | Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity |
| title_full | Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity |
| title_fullStr | Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity |
| title_full_unstemmed | Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity |
| title_short | Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity |
| title_sort | impacts of generalized uncertainty principle on the black hole thermodynamics and phase transition in a cavity |
| topic | generalized uncertainty principle black hole phase transition thermodynamic evolution remnant |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.887410/full |
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