Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity

被引:30
作者
Sun, Yuan [1 ]
Xu, Hao [1 ]
Zhao, Liu [1 ]
机构
[1] Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 09期
基金
中国国家自然科学基金;
关键词
AdS-CFT Correspondence; Black Holes; Conformal Field Theory; DESITTER;
D O I
10.1007/JHEP09(2016)060
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like phase transition in the extended phase space, which is reviewed with emphasis on the behavior on the temperature-entropy plane. On the boundary, we calculated the regularized HEE of a disk region of different sizes. We find strong numerical evidence for the failure of equal area law for isobaric curves on the temperature-HEE plane and for the correctness of first law of entanglement entropy, and briefly give an explanation for why the latter may serve as a reason for the former, i.e. the failure of equal area law on the temperature-HEE plane.
引用
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页数:17
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