Thermodynamic phase transition of a black hole in rainbow gravity
In this letter, using the rainbow functions that were proposed by Magueijo and Smolin, we investigate the thermodynamics and the phase transition of rainbow Schwarzschild black hole. First, we calculate the rainbow gravity corrected Hawking temperature. From this modification, we then derive the loc...
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| Published in | Physics letters. B Vol. 772; no. C; pp. 737 - 742 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
10.09.2017
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | In this letter, using the rainbow functions that were proposed by Magueijo and Smolin, we investigate the thermodynamics and the phase transition of rainbow Schwarzschild black hole. First, we calculate the rainbow gravity corrected Hawking temperature. From this modification, we then derive the local temperature, free energy, and other thermodynamic quantities in an isothermal cavity. Finally, we analyze the critical behavior, thermodynamic stability, and phase transition of the rainbow Schwarzschild black hole. The results show that the rainbow gravity can stop the Hawking radiation in the final stages of black holes' evolution and lead to the remnants of black holes. Furthermore, one can observe that the rainbow Schwarzschild black hole has one first-order phase transition, two second-order phase transitions, and three Hawking–Page-type phase transitions in the framework of rainbow gravity theory. |
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| AbstractList | In this letter, using the rainbow functions that were proposed by Magueijo and Smolin, we investigate the thermodynamics and the phase transition of rainbow Schwarzschild black hole. First, we calculate the rainbow gravity corrected Hawking temperature. From this modification, we then derive the local temperature, free energy, and other thermodynamic quantities in an isothermal cavity. Finally, we analyze the critical behavior, thermodynamic stability, and phase transition of the rainbow Schwarzschild black hole. The results show that the rainbow gravity can stop the Hawking radiation in the final stages of black holes' evolution and lead to the remnants of black holes. Furthermore, one can observe that the rainbow Schwarzschild black hole has one first-order phase transition, two second-order phase transitions, and three Hawking–Page-type phase transitions in the framework of rainbow gravity theory. |
| Author | Yang, Shu-Zheng Feng, Zhong-Wen |
| Author_xml | – sequence: 1 givenname: Zhong-Wen orcidid: 0000-0001-5962-8087 surname: Feng fullname: Feng, Zhong-Wen email: zwfengphy@163.com organization: College of Physics and Space Science, China West Normal University, Nanchong 637009, China – sequence: 2 givenname: Shu-Zheng surname: Yang fullname: Yang, Shu-Zheng email: szyangcwnu@126.com organization: College of Physics and Space Science, China West Normal University, Nanchong 637009, China |
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| Keywords | Thermodynamic phase transition Black hole Rainbow gravity |
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| SubjectTerms | Black hole Rainbow gravity Thermodynamic phase transition |
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| Title | Thermodynamic phase transition of a black hole in rainbow gravity |
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