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The statistical-mechanical entropy of scalar field is calculated by using brick wall method and thin film brick-wall method in Gibbons-Maeda black hole spacetime. The entropy obtained from brick-wall method has two terms. One term is proportional to the event horizon area, and the proportional coefficient is 1/4 when the cutoff factor satisfies a suitable condition. The other term is logarithmic-divergent. The entropy obtained from thin film brick-wall method has only one term which is proportional to the event horizon area, and the logarithmic divergence vanishes.
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Keywords:
- brick-wall method /
- thin film brick-wall method /
- Gibbons-Maeda black hole /
- statistical-mechanical entropy
[1] ［1］Hawking S W 1975 Commun. Math. Phys 43 199
[2] ［2］Bekenstein J D 1973 Phys. Rev. D 7 2333
[3] ［3］G’t Hooft 1985 Nucl. Phys. B 256 727
[4] ［4］Luo Z J, Zhu J Y 1999 Acta Phys. Sin. 48 395(in Chinese)［罗智坚、朱建阳 1999 48 395］
[5] ［5］Liu W B, Zhao Z 2000 Journal of Beijing Normal University(Natural Science) 36 626 (in Chinese) ［刘文彪、赵峥 2000北京师范大学学报36 626］
[6] ［6］Zhao R, Zhang L C 2002 Acta Phys. Sin. 51 1167(in Chinese) ［赵仁、张丽春 2002 51 1167］
[7] ［7］Liu C Z, Li X, Zhao Z 2004 General Ralativity and Gravitation 36 1135
[8] ［8］Ding C K, Jing J L 2007 Chin. Phys. 16 3610
[9] ［9］Yang B 2008 Acta Phys. Sin. 57 2614(in Chinese)［杨波 2008 57 2614］
[10] ］Wang B B 2008 Chin. Phys. B 17 467［11］Liu C Z 2005 Acta Phys. Sin. 54 1977(in Chinese)［刘成周 2005 54 1977］
[11] ］Jing J L, Yan M L 2001 Phys. Rev. D 64 064015
[12] ］Jing J L, Yan M L 2001 Phys. Rev. D 63 084028
[13] ］Li X 2001 Phys. Rev. D 65 084005
[14] ］Wei Y H, Wang C H, Zhao Z 2002 Phys. Rev. D 65 124023
[15] ］Ghosh T, SenGupta S 2008 Phys. Rev. D 78 024045
[16] ］Li X, Zhao Z 2000 Phys. Rev. D 62 104001
[17] ］He F, Zhao Z, Kim S W 2001 Phys. Rev. D 64 044025
[18] ］Gao C J, Shen Y G 2002 Phys. Rev. D 65 084043
[19] ］G W Gibbons, K Maeda 1988 Nucl. Phys. B 298 741
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[1] ［1］Hawking S W 1975 Commun. Math. Phys 43 199
[2] ［2］Bekenstein J D 1973 Phys. Rev. D 7 2333
[3] ［3］G’t Hooft 1985 Nucl. Phys. B 256 727
[4] ［4］Luo Z J, Zhu J Y 1999 Acta Phys. Sin. 48 395(in Chinese)［罗智坚、朱建阳 1999 48 395］
[5] ［5］Liu W B, Zhao Z 2000 Journal of Beijing Normal University(Natural Science) 36 626 (in Chinese) ［刘文彪、赵峥 2000北京师范大学学报36 626］
[6] ［6］Zhao R, Zhang L C 2002 Acta Phys. Sin. 51 1167(in Chinese) ［赵仁、张丽春 2002 51 1167］
[7] ［7］Liu C Z, Li X, Zhao Z 2004 General Ralativity and Gravitation 36 1135
[8] ［8］Ding C K, Jing J L 2007 Chin. Phys. 16 3610
[9] ［9］Yang B 2008 Acta Phys. Sin. 57 2614(in Chinese)［杨波 2008 57 2614］
[10] ］Wang B B 2008 Chin. Phys. B 17 467［11］Liu C Z 2005 Acta Phys. Sin. 54 1977(in Chinese)［刘成周 2005 54 1977］
[11] ］Jing J L, Yan M L 2001 Phys. Rev. D 64 064015
[12] ］Jing J L, Yan M L 2001 Phys. Rev. D 63 084028
[13] ］Li X 2001 Phys. Rev. D 65 084005
[14] ］Wei Y H, Wang C H, Zhao Z 2002 Phys. Rev. D 65 124023
[15] ］Ghosh T, SenGupta S 2008 Phys. Rev. D 78 024045
[16] ］Li X, Zhao Z 2000 Phys. Rev. D 62 104001
[17] ］He F, Zhao Z, Kim S W 2001 Phys. Rev. D 64 044025
[18] ］Gao C J, Shen Y G 2002 Phys. Rev. D 65 084043
[19] ］G W Gibbons, K Maeda 1988 Nucl. Phys. B 298 741
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