Legendre transformations and the thermodynamic geometry of 5D black holes

HAN Yi-Wen; CHEN Gang; LAN Ming-Jian

doi:10.1088/1674-1137/37/3/035101

Chinese Physics C> 2013, Vol. 37> Issue(3) : 035101 DOI: 10.1088/1674-1137/37/3/035101

Legendre transformations and the thermodynamic geometry of 5D black holes

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Abstract：
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.

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HAN Yi-Wen, CHEN Gang and LAN Ming-Jian. Legendre transformations and the thermodynamic geometry of 5D black holes[J]. Chinese Physics C, 2013, 37(3): 035101. doi: 10.1088/1674-1137/37/3/035101

HAN Yi-Wen, CHEN Gang and LAN Ming-Jian. Legendre transformations and the thermodynamic geometry of 5D black holes[J]. Chinese Physics C, 2013, 37(3): 035101. doi: 10.1088/1674-1137/37/3/035101 shu

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Received: 2012-04-09
Revised: 2012-09-16

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沈阳化工大学材料科学与工程学院沈阳 110142

Legendre transformations and the thermodynamic geometry of 5D black holes

Corresponding author: HAN Yi-Wen,

Received Date: 2012-04-09

Accepted Date: 2012-09-16

Available Online: 2013-03-05

Abstract: 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.

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Legendre transformations and the thermodynamic geometry of 5D black holes

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