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We study thermodynamic properties of the effective right and left systems of Reissner-Nordstrm-anti-de Sitter black hole. Then, we analyze the case of Kerr-Newman-anti-de Sitter(KN-AdS) black hole and calculate the corresponding thermodynamic quantities of the right and the left systems. For the nearly extremal case, it can be seen that the effective right system of KN-AdS black hole satisfies the Nernst theorem and the effective left system has a finite temperature.
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Keywords:
- Kerr-Newman-anti-de Sitter black hole /
- effective systems /
- extremal case /
- Nernst theorem
[1] ［1］Hawking S W 1972 Commun. Math. Phys. 25 152
[2] ［2］Hawking S W 1975 Commun. Math. Phys. 43 199
[3] ［3］Bardeen J M, Carter B， Hawking S W 1973 Commun. Math. Phys. 31 161
[4] ［4］Smarr L 1973 Phys. Rev. Lett. 30 71
[5] ［5］Ren J, Cao J L， Zhao Z 2006 Chin. Phys. B 15 2256
[6] ［6］Han Y W, Bao Z Q， Hong Y 2009 Chin. Phys. B 18 62
[7] ［7］Zhang J Y， Fan J H 2007 Chin. Phys. B 16 3879
[8] ［8］Lin K, Yang S Z 2009 Chin. Phys. B 18 2154
[9] ［9］He T M, Fan J H, Wang Y J 2008 Chin. Phys. B 17 2321
[10] ］Ren J 2008 Chin. Phys. Lett. 25 1579
[11] ］Ma Z Z 2008 Phys. Lett. B 666 376
[12] ］Zhao Z, Zhu J Y， Liu W B 1999 Chin. Phys. Lett. 16 698
[13] ］Zhao Z 1999 Int. J. Theor. Phys. 38 1539
[14] ］Wu S Q， Cai X 2000 IL Nuovo Cimento B 115 143
[15] ］Wu S Q， Cai X 2000 Int. J. Theor. Phys. 39 2215
[16] ］Allemandi G, Fatibene L， Francaviglia M 2001 Gen. Rel. Grav. 33 1371
[17] ］Wei Y H 2009 Phys. Lett. B 672 98
[18] ］Park M I 2008 Phys. Lett. B 663 259
[19] ］Park M I 2007 Phys. Lett. B 647 472
[20] ］Wu S Q 2005 Phys. Lett. B 608 251
[21] ］Wei Y H 2009 Chin. Phys. B 18 821
[22] ］Caldarelli M M, Cognola G, Klemm D 2000 Class. Quant. Grav. 17 399
[23] ］CvetiAcˇ M， Larsen F 1997 Nucl. Phys. B 506 107
[24] ］Horowitz G T, Lowe D A, Maldacena J M 1996 Phys. Rev. Lett. 77 430
[25] ］Gubser S S, Klebanov I R 1996 Phys. Rev. Lett. 77 4491
[26] ］CvetiAcˇ M, Larsen F 1998 Phys. Rev. D 57 6297
[27] ］Maldacena J, Strominger A 1997 Phys. Rev. D 55 861
[28] ］Horowitz G T, Polchinski J 1997 Phys. Rev. D 55 6189
[29] ］Larsen F 1997 Phys. Rev. D 56 1005
[30] ］Wald R M 1997 Phys. Rev. D 56 6467
[31] ］Belgiorno F, Martellini M 2004 Int. J. Mod. Phys. D 13 739
[32] ］Medved A J M, Kunstatter G 2001 Phys. Rev. D 63 104005
[33] ］Wang B, Su R K, Yu P K N, Young E C M 1998 Phys. Rev. D 57 5284
[34] ］Zhao Z, Zhu J Y 1999 Acta Phys. Sin. 48 1558 (in Chinese) ［赵峥、朱建阳 1999 48 1558］
[35] ］Zhao R, Zhang L C 2001 Acta Phys. Sin. 50 1015 (in Chinese) ［赵仁、张丽春 2001 50 1015］
[36] ］Zhang L C, Zhao R 2004 Acta Phys. Sin. 53 362 (in Chinese) ［张丽春、赵仁 2004 53 362］
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[1] ［1］Hawking S W 1972 Commun. Math. Phys. 25 152
[2] ［2］Hawking S W 1975 Commun. Math. Phys. 43 199
[3] ［3］Bardeen J M, Carter B， Hawking S W 1973 Commun. Math. Phys. 31 161
[4] ［4］Smarr L 1973 Phys. Rev. Lett. 30 71
[5] ［5］Ren J, Cao J L， Zhao Z 2006 Chin. Phys. B 15 2256
[6] ［6］Han Y W, Bao Z Q， Hong Y 2009 Chin. Phys. B 18 62
[7] ［7］Zhang J Y， Fan J H 2007 Chin. Phys. B 16 3879
[8] ［8］Lin K, Yang S Z 2009 Chin. Phys. B 18 2154
[9] ［9］He T M, Fan J H, Wang Y J 2008 Chin. Phys. B 17 2321
[10] ］Ren J 2008 Chin. Phys. Lett. 25 1579
[11] ］Ma Z Z 2008 Phys. Lett. B 666 376
[12] ］Zhao Z, Zhu J Y， Liu W B 1999 Chin. Phys. Lett. 16 698
[13] ］Zhao Z 1999 Int. J. Theor. Phys. 38 1539
[14] ］Wu S Q， Cai X 2000 IL Nuovo Cimento B 115 143
[15] ］Wu S Q， Cai X 2000 Int. J. Theor. Phys. 39 2215
[16] ］Allemandi G, Fatibene L， Francaviglia M 2001 Gen. Rel. Grav. 33 1371
[17] ］Wei Y H 2009 Phys. Lett. B 672 98
[18] ］Park M I 2008 Phys. Lett. B 663 259
[19] ］Park M I 2007 Phys. Lett. B 647 472
[20] ］Wu S Q 2005 Phys. Lett. B 608 251
[21] ］Wei Y H 2009 Chin. Phys. B 18 821
[22] ］Caldarelli M M, Cognola G, Klemm D 2000 Class. Quant. Grav. 17 399
[23] ］CvetiAcˇ M， Larsen F 1997 Nucl. Phys. B 506 107
[24] ］Horowitz G T, Lowe D A, Maldacena J M 1996 Phys. Rev. Lett. 77 430
[25] ］Gubser S S, Klebanov I R 1996 Phys. Rev. Lett. 77 4491
[26] ］CvetiAcˇ M, Larsen F 1998 Phys. Rev. D 57 6297
[27] ］Maldacena J, Strominger A 1997 Phys. Rev. D 55 861
[28] ］Horowitz G T, Polchinski J 1997 Phys. Rev. D 55 6189
[29] ］Larsen F 1997 Phys. Rev. D 56 1005
[30] ］Wald R M 1997 Phys. Rev. D 56 6467
[31] ］Belgiorno F, Martellini M 2004 Int. J. Mod. Phys. D 13 739
[32] ］Medved A J M, Kunstatter G 2001 Phys. Rev. D 63 104005
[33] ］Wang B, Su R K, Yu P K N, Young E C M 1998 Phys. Rev. D 57 5284
[34] ］Zhao Z, Zhu J Y 1999 Acta Phys. Sin. 48 1558 (in Chinese) ［赵峥、朱建阳 1999 48 1558］
[35] ］Zhao R, Zhang L C 2001 Acta Phys. Sin. 50 1015 (in Chinese) ［赵仁、张丽春 2001 50 1015］
[36] ］Zhang L C, Zhao R 2004 Acta Phys. Sin. 53 362 (in Chinese) ［张丽春、赵仁 2004 53 362］
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