Abstract
Applying the generalized uncertainty relation to the thin film brick-wall model, the entropy of Dirac Field in Non-stationary and Slowly Changing Reissner-Nordström Black Hole is obtained. The result shows that the entropy is still proportional to the horizon area of the black hole, and black hole entropy is just identical to the entropy of the quantum state near the event horizon, in addition, the divergence of state density without any cut-off parameter is avoided during black hole entropy calculation.
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Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)
Robinson, S.P., Wilczek, F.: Phys. Rev. Lett. 95, 011303 (2005)
Hemming, S., Keski-Vakkuri, E.: Phys. Rev. D 64, 044006 (2001)
Medved, A.J.M.: Phys. Rev. D 66, 124009 (2002)
Medved, A.J.M.: Class. Quantum Gravity 19, 589 (2002)
Vagenas, E.C.: Phys. Lett. B 503, 399 (2001)
Vagenas, E.C.: Phys. Lett. B 559, 65 (2003)
Vagenas, E.C.: Mod. Phys. Lett. A 17, 609 (2002)
Medved, A.J.M., Vagenas, E.C.: Mod. Phys. Lett. A 20, 2449 (2005)
Medved, A.J.M., Vagenas, E.C.: Mod. Phys. Lett. A 20, 1723 (2005)
Arzano, M., Medved, A.J.M., Vagenas, E.C.: J. High Energy Phys. 0509, 037 (2005)
Iso, S., Umetsu, H., Wilczek, F.: Phys. Rev. Lett. 96, 151302 (2006)
Iso, S., Umetsu, H., Wilczek, F.: Phys. Rev. D 74, 044017 (2006)
Iso, S., Morita, T., Umetsu, H.: J. High Energy Phys. 0704, 068 (2007)
Iso, S., Morita, T., Umetsu, H.: Phys. Rev. D 75, 124004 (2007)
Iso, S., Morita, T., Umetsu, H.: Phys. Rev. D 76, 064015 (2007)
Iso, S., Morita, T., Umetsu, H.: Nucl. Phys. B 799, 60 (2008)
Iso, S., Morita, T., Umetsu, H.: Phys. Rev. D 77, 045007 (2008)
Iso, S.: Int. J. Mod. Phys. A 23, 2082 (2008)
Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Rev. D 75, 064029 (2007)
Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Rev. D 73, 064003 (2006)
Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Lett. B 651, 58 (2007)
Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Lett. B 651, 65 (2007)
Jiang, Q.Q.: Class. Quantum Gravity 24, 4391 (2007)
Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Lett. B 647, 200 (2007)
Jiang, Q.Q.: Phys. Rev. D 78, 044009 (2008)
Jiang, Q.Q.: Phys. Lett. B 666, 517 (2008)
Chen, D.Y., Jiang, Q.Q., Zu, X.T.: Phys. Lett. B 665, 106 (2008)
Chen, D.Y., Jiang, Q.Q., Zu, X.T.: Class. Quantum Gravity 25, 205022 (2008)
Zhang, J.Y., Zhao, Z.: Phys. Lett. B 618, 14 (2005)
Zhang, J.Y., Zhao, Z.: J. High Energy Phys. 0505, 055 (2005)
Hu, Y.P., Zhang, J.J., Zhao, Z.: Mod. Phys. Lett. A 21, 2143 (2006)
Liu, C.Z., Zhang, J.Y., Zhao, Z.: Phys. Lett. B 639, 670 (2006)
Liu, W.B.: Phys. Lett. B 634, 541 (2006)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
t’Hooft, G.: Nucl. Phys. B 256, 727 (1985)
Jing, J.L.: Int. J. Theor. Phys. 37, 1441 (1998)
Lee, M.H., Kim, J.K.: Phys. Lett. A 212, 323 (1996)
Ghosh, A., Mitra, P.: Phys. Lett. B 357, 295 (1995)
Demer, J., Lafrande, R., Myers, C.R.: Phys. Rev. D 52, 2245 (1995)
Li, X., Zhao, Z.: Phys. Rev. D 62, 104001 (2000)
Liu, W.B., Zhu, J.Y., Zhao, Z.: Acta Phys. Sin. 49, 581 (2000)
Gao, C.J., Shen, Y.G.: Chin. Phys. Lett. 18, 1167 (2001)
He, H., Zhao, Z.: Acta Phys. Sin. 51, 2661 (2002)
Zhu, B., Yao, G.Z., Zhao, Z.: Acta Phys. Sin. 51, 2656 (2002)
Meng, Q.M., Su, J.Q., Li, C.A.: Acta Phys. Sin. 52, 1822 (2003)
Han, Y.W., Hong, Y., Yang, S.Z.: Acta Phys. Sin. 56, 10 (2007)
Han, Y.W., Hong, Y.: Acta Phys. Sin. 53, 3270 (2004)
Han, Y.W., Yang, S.Z., Liu, W.B.: Commun. Theor. Phys. 43, 382 (2005)
Liu, W.B., Han, Y.W., Zhao, Z.: Int. J. Mod. Phys. A 18, 2681 (2003)
Liu, Z.F., Li, X., Zhao, Z.: J. Beijing Norm. University 39, 751 (2003)
Sun, X.F., Jing, J.L., Liu, W.B.: Acta Phys. Sin. 53, 4002 (2004)
Li, X.: Phys. Lett. B 540, 9 (2002)
Yang, S.Z.: Acta Phys. Sin. 53, 4007 (2004)
Liu, Z.F., Liu, W.B.: Acta Phys. Sin. 54, 475 (2005)
Jiang, Q.Q., Yang, S.Z., Li, H.L.: Chin. Phys. 14, 1736 (2005)
Li, X., Zhao, Z.: Mod. Phys. Lett. A 15, 1739 (2000)
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Jian, T., Bing-Bing, C. The Generalized Uncertainty Relation and The Entropy of Non-stationary and Slowly Changing Reissner-Nordström Black Hole. Int J Theor Phys 48, 1491–1499 (2009). https://doi.org/10.1007/s10773-008-9921-9
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DOI: https://doi.org/10.1007/s10773-008-9921-9