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Dynamic Analytical Solution of a Charged Dilaton Black Hole

Wang, Ruifang ; Liu, Jianwen ; Gao, Fabao

Mathematics (Basel), 2022-06, Vol.10 (12), p.2113 [Periódico revisado por pares]

Basel: MDPI AG

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  • Título:
    Dynamic Analytical Solution of a Charged Dilaton Black Hole
  • Autor: Wang, Ruifang ; Liu, Jianwen ; Gao, Fabao
  • Assuntos: charged dilaton black hole ; Critical temperature ; Dilatons ; dynamic analytical solution ; Exact solutions ; Gravity ; Parameters ; Phase transitions ; Physical properties ; Spacetime ; Temperature ; Thermodynamics ; Transition temperature ; two-timing scale method ; Universe
  • É parte de: Mathematics (Basel), 2022-06, Vol.10 (12), p.2113
  • Descrição: 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.
  • Editor: Basel: MDPI AG
  • Idioma: Inglês

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