Dynamic Analytical Solution of a Charged Dilaton Black Hole

Ruifang Wang, Jianwen Liu and Fabao Gao
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Ruifang Wang: School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
Jianwen Liu: School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
Fabao Gao: School of Mathematical Science, Yangzhou University, Yangzhou 225002, China

Mathematics, 2022, vol. 10, issue 12, 1-14

Abstract: 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.

Keywords: dynamic analytical solution; charged dilaton black hole; two-timing scale method; critical temperature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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