Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

The European Physical Journal C

Zhen-Ming Xu¹  Yan-Gang Miao² 

[1] School of Physics, Nankai University, 300071, Tianjin, China;School of Physics, Nankai University, 300071, Tianjin, China;State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, 100190, Beijing, China;CERN, PH-TH Division, 1211, Geneva 23, Switzerland;

关键词: Black Hole;    Gibbs Free Energy;    Critical Radius;    Extreme Black Hole;    Black Hole Mass;   

DOI  :  10.1140/epjc/s10052-016-4073-1

来源: Springer

【 摘 要 】

Considering non-Gaussian smeared matter distributions, we investigate the thermodynamic behaviors of the noncommutative high-dimensional Schwarzschild–Tangherlini anti-de Sitter black hole, and we obtain the condition for the existence of extreme black holes. We indicate that the Gaussian smeared matter distribution, which is a special case of non-Gaussian smeared matter distributions, is not applicable for the six- and higher-dimensional black holes due to the hoop conjecture. In particular, the phase transition is analyzed in detail. Moreover, we point out that the Maxwell equal area law holds for the noncommutative black hole whose Hawking temperature is within a specific range, but fails for one whose the Hawking temperature is beyond this range.

【 授权许可】

CC BY