Dynamic Analytical Solution of a Charged Dilaton Black Hole

Mathematics

Fabao Gao¹  Ruifang Wang¹  Jianwen Liu¹ 

[1] School of Mathematical Science, Yangzhou University, Yangzhou 225002, China;

关键词: dynamic analytical solution;    charged dilaton black hole;    two-timing scale method;    critical temperature;   

DOI  :  10.3390/math10122113

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown