Legendre transformations and the thermodynamic geometry of 5D black holes
作者： Ming-Jian Lan , Gang Chen , Yi-Wen Han
DOI: 10.1088/1674-1137/37/3/035101
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摘要: This paper studies the thermodynamic properties of 5D black hole in Einstein-Gauss-Bonnet gravity from viewpoint geometrothermodynamics. It is found that Legendre invariant metrics holes Einstein-Yang-Mills-Gauss-Bonnet theory and Einstein-Maxwell-Gauss-Bonnet reproduce behavior interaction phase transition structure corresponding configurations correctly. shown they are both curved curvature scalar provides information about point.
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sci-hub.st 参考文章(33)
José L. Álvarez, Hernando Quevedo, Alberto Sánchez, Unified geometric description of black hole thermodynamics Physical Review D. ,vol. 77, pp. 084004- ,(2008) , 10.1103/PHYSREVD.77.084004
Hernando Quevedo, Geometrothermodynamics of black holes General Relativity and Gravitation. ,vol. 40, pp. 971- 984 ,(2008) , 10.1007/S10714-007-0586-0
Rong-Gen Cai, Jin-Ho Cho, Thermodynamic curvature of the BTZ black hole Physical Review D. ,vol. 60, pp. 067502- ,(1999) , 10.1103/PHYSREVD.60.067502
David L. Wiltshire, Black holes in string-generated gravity models. Physical Review D. ,vol. 38, pp. 2445- 2456 ,(1988) , 10.1103/PHYSREVD.38.2445
George Ruppeiner, Riemannian geometry in thermodynamic fluctuation theory Reviews of Modern Physics. ,vol. 67, pp. 605- 659 ,(1995) , 10.1103/REVMODPHYS.67.605
Jan E. Åman, Ingemar Bengtsson, Narit Pidokrajt, Flat Information Geometries in Black Hole Thermodynamics General Relativity and Gravitation. ,vol. 38, pp. 1305- 1315 ,(2006) , 10.1007/S10714-006-0306-1
Sergio Ferrara, Gary W. Gibbons, Renata Kallosh, Black holes and critical points in moduli space Nuclear Physics. ,vol. 500, pp. 75- 93 ,(1997) , 10.1016/S0550-3213(97)00324-6
Hernando Quevedo, Alberto Sánchez, Geometric description of BTZ black hole thermodynamics Physical Review D. ,vol. 79, pp. 024012- ,(2009) , 10.1103/PHYSREVD.79.024012
S. Habib Mazharimousavi, M. Halilsoy, 5D black hole solution in Einstein-Yang-Mills-Gauss-Bonnet theory Physical Review D. ,vol. 76, pp. 087501- ,(2007) , 10.1103/PHYSREVD.76.087501
Behrouz Mirza, Hosein Mohammadzadeh, Ruppeiner geometry of anyon gas Physical Review E. ,vol. 78, pp. 021127- ,(2008) , 10.1103/PHYSREVE.78.021127