Legendre transformations and the thermodynamic geometry of 5D black holes
arXiv:1305.5014 · doi:10.1088/1674-1137/37/3/035101
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.
6 pages. arXiv admin note: substantial text overlap with arXiv:1207.5626; and text overlap with arXiv:0905.1776, arXiv:0811.2524, arXiv:1104.3723 by other authors
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