Dynamic Analytical Solution of a Charged Dilaton Black Hole
This paper addresses an analytic solution of the particles in a charged dilaton black hole based on the two-timing scale method from the perspective of dynamics. The constructed solution is surprisingly consistent with the “exact solution” in the numerical sense of the system. It can clearly reflect...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/12/2113 |
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| author | Ruifang Wang Jianwen Liu Fabao Gao |
| author_facet | Ruifang Wang Jianwen Liu Fabao Gao |
| author_sort | Ruifang Wang |
| collection | DOAJ |
| description | This paper addresses an analytic solution of the particles in a charged dilaton black hole based on the two-timing scale method from the perspective of dynamics. The constructed solution is surprisingly consistent with the “exact solution” in the numerical sense of the system. It can clearly reflect how the physical characteristics of the particle flow, such as the viscosity, absolute temperature, and thermodynamic pressure, affect the characteristics of the black hole. Additionally, we also discuss the geometric structure relationship between the critical temperature and the charge as well as the dilaton parameter when a charged dilaton black hole undergoes a phase transition. It is found that the critical temperature decreases with the increase of the charge for a given dilaton value. When the charge value is small, the critical temperature value will first decrease and then increase as the dilaton value increases. Conversely, the critical temperature value will always increase with the dilaton parameter. |
| first_indexed | 2024-03-09T23:08:09Z |
| format | Article |
| id | doaj.art-ade77276ce494f57aecfaf4c96fd156c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:08:09Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ade77276ce494f57aecfaf4c96fd156c2023-11-23T17:49:55ZengMDPI AGMathematics2227-73902022-06-011012211310.3390/math10122113Dynamic Analytical Solution of a Charged Dilaton Black HoleRuifang Wang0Jianwen Liu1Fabao Gao2School of Mathematical Science, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou 225002, ChinaThis paper addresses an analytic solution of the particles in a charged dilaton black hole based on the two-timing scale method from the perspective of dynamics. The constructed solution is surprisingly consistent with the “exact solution” in the numerical sense of the system. It can clearly reflect how the physical characteristics of the particle flow, such as the viscosity, absolute temperature, and thermodynamic pressure, affect the characteristics of the black hole. Additionally, we also discuss the geometric structure relationship between the critical temperature and the charge as well as the dilaton parameter when a charged dilaton black hole undergoes a phase transition. It is found that the critical temperature decreases with the increase of the charge for a given dilaton value. When the charge value is small, the critical temperature value will first decrease and then increase as the dilaton value increases. Conversely, the critical temperature value will always increase with the dilaton parameter.https://www.mdpi.com/2227-7390/10/12/2113dynamic analytical solutioncharged dilaton black holetwo-timing scale methodcritical temperature |
| spellingShingle | Ruifang Wang Jianwen Liu Fabao Gao Dynamic Analytical Solution of a Charged Dilaton Black Hole Mathematics dynamic analytical solution charged dilaton black hole two-timing scale method critical temperature |
| title | Dynamic Analytical Solution of a Charged Dilaton Black Hole |
| title_full | Dynamic Analytical Solution of a Charged Dilaton Black Hole |
| title_fullStr | Dynamic Analytical Solution of a Charged Dilaton Black Hole |
| title_full_unstemmed | Dynamic Analytical Solution of a Charged Dilaton Black Hole |
| title_short | Dynamic Analytical Solution of a Charged Dilaton Black Hole |
| title_sort | dynamic analytical solution of a charged dilaton black hole |
| topic | dynamic analytical solution charged dilaton black hole two-timing scale method critical temperature |
| url | https://www.mdpi.com/2227-7390/10/12/2113 |
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