Yi-Wen Han, Gang Chen, Ming-Jian Lan
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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http://arxiv.org/abs/1305.5014
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