Abstract
In the present work we study (i) the charged black hole in Einstein–Gauss–Bonnet (EGB) theory, known as the Einstein–Maxwell–Gauss–Bonnet (EMGB) black hole and (ii) the black hole in EGB gravity with a Yang–Mills field. The thermodynamic geometry of these two black hole solutions has been investigated, using the modified entropy in Gauss–Bonnet theory.
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Aman, J.E., Pidokrajt, N.: Phys. Rev. D 73, 024017 (2006)
Aman, J.E., Bengtsson, I., Pidokrajt, N.: Gen. Relativ. Gravit. 35, 1733 (2003)
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Biswas, R., Chakraborty, S.: Gen. Relativ. Gravity (2009). doi:10.1007/s10714-009-0907-6
Boulware, D.G., Deser, S.: Phys. Rev. Lett. 55, 2656 (1985)
Cai, R.G.: Phys. Rev. D 65, 084014 (2002)
Cai, R.G., Cho, J.H.: Phys. Rev. D 60, 067502 (1999)
Cai, R.G., Guo, Q.: Phys. Rev. D 69, 104025 (2004)
Chakraborty, S., Bandyopadhyay, T.: Class. Quantum Gravity 25, 245015 (2008)
Clunan, T., Ross, S.F., Smith, D.J.: Class. Quantum Gravity 21, 3447 (2004)
Ferrara, S., Gibbons, G.W., Kallosh, R.: Nucl. Phys. B 500, 75 (1997)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Mazharimousavi, S.H., Halilsoy, M.: Phys. Rev. D 76, 087501 (2007)
Myers, R.C., Simon, J.Z.: Phys. Rev. D 38, 2434 (1988)
Ruppeiner, G.: Phys Rev. A 20, 1608 (1979)
Ruppeiner, G.: Rev. Mod. Phys. 67, 605 (1995)
Ruppeiner, G.: Rev. Mod. Phys. 68(E), 313 (1996)
Shen, J., Cai, R.G., Wang, B., Su, R.K.: Int. J. Mod. Phys. A 22(1), 11–27 (2007)
Thibeault, M., Simeone, C., Eirod, E.F.: Gen. Relativ. Gravit. 38, 1593 (2006)
Weinhold, F.: J. Chem. Phys. 63, 2479 (1975)
Wiltshire, D.L.: Phys. Lett. B 169, 36 (1986)
Wiltshire, D.L.: Phys. Rev. D 38, 2445 (1988)
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Biswas, R., Chakraborty, S. Black holes in the Einstein–Gauss–Bonnet theory and the geometry of their thermodynamics—II. Astrophys Space Sci 326, 39–44 (2010). https://doi.org/10.1007/s10509-009-0202-8
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DOI: https://doi.org/10.1007/s10509-009-0202-8