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The brick-wall model is widely used to calculate the entropies of static or stationary black holes. An ultraviolet cutoff factor needs to be introduced to remove the divergence of the result in brick-wall model. The cutoff factor has not been explained reasonably up to now. A study indicated that when the brick-wall model or thin film model was used to calculate the black hole entropy, the ultraviolet cutoff factor could be discarded if the generalized uncertainty relation was adopted. In this paper, it is proved that since the first term of Schwarzschild black hole entropy formula in the brick-wall model is not only the Bekenstein-Hawking term but also the term containing the ultraviolet cutoff factor, when the cutoff factor is removed, the Bekenstein-Hawking term is lost and the black hole entropy cannot be obtained by using the generalized uncertainty relation in brick-wall model.
[1] Hooft G't 1985 Nucl. Phys. B 256 727
[2] Ho J, Kim W T, Park Y J, Shin H 1997 Class. Quantum Grav. 14 2617
[3] [4] [5] Jing J L 1998 Int. J. Theor. Phys. 37 1441
[6] [7] Li G Q 2003 Acta Phys. Sin. 52 1346 (in Chinese) [李固强 2003 52 1346]
[8] [9] Mi L Q 2004 Acta Phys. Sin. 53 2065 (in Chinese) [米丽琴 2004 53 2065]
[10] Zhao R, Zhang L C 2001 Acta Phys. Sin. 50 593 (in Chinese) [赵 仁、 张丽春 2001 50 593]
[11] [12] [13] Su J Q, Li C A 2005 Acta Phys. Sin. 54 530 (in Chinese) [苏九清、 李传安 2005 54 530]
[14] Liu C Z 2005 Acta Phys. Sin. 54 1977 (in Chinese) [刘成周 2005 54 1977]
[15] [16] [17] Zhang J H, Zhang Q S 2005 Acta Phys. Sin. 54 5500 (in Chinese) [张建华、 张青松 2005 54 5500]
[18] [19] Li X 2002 Phys. Lett. B 540 9
[20] [21] Ashtekar A, Rovelli C, Smolin L 1992 Phys. Rev. Lett. 69 237
[22] [23] Gross D J, Mende P F 1988 Nucl. Phys. B 303 407
[24] Amati D, Ciafaloni M, Veneziano G 1987 Phys. Lett. B 197 81
[25] [26] [27] Maggiore M 1994 Phys. Rev. D 49 5182
[28] [29] Witten E 1997 Phys. Today 49 24
[30] [31] Kempf A, Mangano G, Mann R B 1995 Phys. Rev. D 52 1180
[32] Chang L N, Minic D, Okaruma N, Takeuchi T 2002 Phys. Rev. D 65 125028
[33] -
[1] Hooft G't 1985 Nucl. Phys. B 256 727
[2] Ho J, Kim W T, Park Y J, Shin H 1997 Class. Quantum Grav. 14 2617
[3] [4] [5] Jing J L 1998 Int. J. Theor. Phys. 37 1441
[6] [7] Li G Q 2003 Acta Phys. Sin. 52 1346 (in Chinese) [李固强 2003 52 1346]
[8] [9] Mi L Q 2004 Acta Phys. Sin. 53 2065 (in Chinese) [米丽琴 2004 53 2065]
[10] Zhao R, Zhang L C 2001 Acta Phys. Sin. 50 593 (in Chinese) [赵 仁、 张丽春 2001 50 593]
[11] [12] [13] Su J Q, Li C A 2005 Acta Phys. Sin. 54 530 (in Chinese) [苏九清、 李传安 2005 54 530]
[14] Liu C Z 2005 Acta Phys. Sin. 54 1977 (in Chinese) [刘成周 2005 54 1977]
[15] [16] [17] Zhang J H, Zhang Q S 2005 Acta Phys. Sin. 54 5500 (in Chinese) [张建华、 张青松 2005 54 5500]
[18] [19] Li X 2002 Phys. Lett. B 540 9
[20] [21] Ashtekar A, Rovelli C, Smolin L 1992 Phys. Rev. Lett. 69 237
[22] [23] Gross D J, Mende P F 1988 Nucl. Phys. B 303 407
[24] Amati D, Ciafaloni M, Veneziano G 1987 Phys. Lett. B 197 81
[25] [26] [27] Maggiore M 1994 Phys. Rev. D 49 5182
[28] [29] Witten E 1997 Phys. Today 49 24
[30] [31] Kempf A, Mangano G, Mann R B 1995 Phys. Rev. D 52 1180
[32] Chang L N, Minic D, Okaruma N, Takeuchi T 2002 Phys. Rev. D 65 125028
[33]
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