Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation

被引：9

作者：

Khimphun, Sunly ^{[2
]}

Lee, Bum-Hoon ^{[1
,2
,3
]}

Lee, Wonwoo ^{[1
]}

机构：

[1] Sogang Univ, Ctr Quantum Spacetime, Seoul 04107, South Korea

[2] Sogang Univ, Dept Phys, Seoul 04107, South Korea

[3] Asia Pacific Ctr Theoret Phys, Pohang 37673, South Korea

来源：

PHYSICAL REVIEW D | 2016年 / 94卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

ENTROPY; THERMODYNAMICS; TERMS;

D O I：

10.1103/PhysRevD.94.104067

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the thermodynamic properties of a black hole and the Hawking-Page phase transition in the asymptotically anti-de Sitter spacetime in the dilatonic Einstein-Gauss-Bonnet theory of gravitation. We show how the higher-order curvature terms can influence both the thermodynamic properties and the phase transition. We evaluate both heat capacity and free energy difference to determine the local and global thermodynamic stabilities, respectively. We find that the phase transition occurs from the thermal anti-de Sitter to a small spherical black hole geometry and occurs to a hyperbolic black hole geometry in the (dilatonic) Einstein-Gauss-Bonnet theory of gravitation unlike those in Einstein's theory of gravitation.

引用

页数：15

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