Legendre transformations and the thermodynamic geometry of 5D black holes

  • 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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  • [1] Weinhold F. J. Chem. Phys., 1975, 63: 2479[2] Ruppeiner G. Phys. Rev. A, 1979, 20: 1608[3] Ruppeiner G. Rev. Mod. Phys., 1995, 67: 605[4] Ferrara S, Gibbons G W, Kallosh R. Nucl. Phys. B, 1997, 500: 75[5] Aman J E, Bengtsson I, Pidokrajt N. Gen. Rel. Grav., 2003, 35: 1733[6] Aman J E, Pidokrajt N. Phys. Rev. D, 2006, 73: 024017[7] Aman J E, Bengtsson I, Pidokrajt N. Gen. Rel. Grav., 2006, 38: 1305[8] Sarkar T, Sengupta G, Tiwari B N. JHEP, 2006, 0611: 015[9] Sarkar T, Sengupta G, Tiwari B N. JHEP, 2008, 0810: 076[10] Aman J E, Bedford J, Grumiller D, et al. J. Phys. Conf. Ser., 2007, 66: 012007[11] SHEN J Y, CAI R G, WANG B et al. Int. J. Mod. Phys. A, 2007, 22: 11[12] Mirza B, Zamaninasab M. JHEP, 2007, 0706: 059[13] Medved A J M. Mod. Phys. Lett. A, 2008, 23: 2149[14] Ruppeiner G. Phys. Rev. D, 2007, 75: 024037[15] Ruppeiner G. Phys. Rev. D, 2008, 78: 024016[16] Mirza B, Mohammadzadeh H. Phys. Rev. E, 2008, 78: 021127[17] Myung Y S, Kim Y W, Park Y J. Phys. Lett. B, 2008, 663: 342[18] CAI R G, Cho J H. Phys. Rev. D, 1999, 60:067502[19] Aman J E, Pidokrajt N. J.Phys. Conf.Ser., 2010, 229: 012060[20] Aman J E, Pidokrajt N, Ward J. EAS Publ Ser, 2008, 30: 279[21] HAN Y W, ZHANG J Y. Phys. Lett. B, 2010, 692: 74[22] Biswas R, Chakraborty S Y. Gen. Rel. Grav., 2010, 42: 1311[23] Quevedo H. J. Math. Phys., 2007, 48: 013506[24] Quevedo H. Gen. Rel. Grav., 2008, 40: 971[25] Quevedo H, Vazquez A. AIP Conf. Proc., 2008, 977: 165[26] Alvarez J L, Quevedo H, Sanchez A. Phys. Rev. D, 2008, 77: 084004[27] Quevedo H, Sanchez A. JHEP, 2008, 0809: 034[28] Quevedo H, Sanchez A. Phys. Rev. D, 2009, 79: 024012[29] Quevedo H, Sanchez A. Phys. Rev. D, 2009, 79: 087504[30] LAN M J, CHEN G, HAN Y W. Chin. Phys. B, 2010, 19: 090401 (in Chinese)[31] CHEN G, LIU Z F, LAN M J. Chin. Phys. B, 2011, 20: 110404 (in Chinese)[32] HANY W, BAO Z Q, HONG Y. Commun. Theor. Phys., 2011, 55: 599 (in Chinese)[33] Mazharimousavi S H, Halisoy M. Phys. Rev .D, 2007, 76: 087501[34] Davies P C W. Rep. Prog. Phys., 1978, 41: 1313[35] Wiltshire D L. Phys. Letts. B, 1986, 169: 36; Phys. Rev. D, 1988, 38: 2445[36] Thibeault M, Simeone C, Eirod E F. Gen. Relt. Grav., 2006, 38: 1593
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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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Legendre transformations and the thermodynamic geometry of 5D black holes

    Corresponding author: HAN Yi-Wen,

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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