Legendre transformations and the thermodynamic geometry of 5D black holes

2013/05/22 by Yi-Wen Han, Gang Chen, Ming-Jian Lan
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1088/1674-1137/37/3/035101

published as Chinese Physics C 37 (2013) 035101 · 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

arxiv created 2013/05/22 · arxiv updated 2015/06/16

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.

Citations

• Thermodynamics, geometrothermodynamics and critical behavior of(2+1)-dimensional black holes
• The geometry of the higher dimensional black hole thermodynamics in Einstein–Gauss–Bonnet theory
• Geometric description of BTZ black holes thermodynamics
• A Study of Phase Transition in Black Hole Thermodynamics