Legendre transformations and the thermodynamic geometry of 5D black holes
Legendre transformations and the thermodynamic geometry of 5D black holes
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DOI：
10.1088/1674-1137/37/3/035101
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发表时间：
2013-03-01
影响因子：
3.6
通讯作者：
Lan Ming-Jian
中科院分区：
文献类型：
--
作者：
Han Yi-Wen;Chen Gang;Lan Ming-Jian
本文从几何热力学的角度研究了Einstein-Gauss-Bonnet引力场中5D黑洞的热力学性质。研究发现，Einstein-Yang-Mills-Gauss-Bonnet理论和Einstein-Maxwell-Gauss-Bonnet理论中的5D黑洞Legendre不变量度规正确地再现了相应黑洞组态的热力学相互作用行为和相变结构.结果表明，它们都是弯曲的，曲率标量提供有关相变点的信息。
This paper studies the thermodynamic properties of the 5D black hole in Einstein-Gauss-Bonnet gravity from the viewpoint of geometrothermodynamics. It is found that the Legendre invariant metrics of the 5D black holes in Einstein-Yang-Mills-Gauss-Bonnet theory and Einstein-Maxwell-Gauss-Bonnet theory reproduce the behavior of the thermodynamic interaction and phase transition structure of the corresponding black hole configurations correctly. It is shown that they are both curved and that the curvature scalar provides information about the phase transition point.