Entropy of charged dilaton-axion black hole with minimal length revisited

• Authors: Chunyan Wang , Yuanxing Gui , Lili Xing
• Languages of publication: EN

Abstracts

EN

Using the generalized uncertainty principle, we calculate the entropy of the charged dilaton-axion black hole for both asymptotically flat and non-flat cases by counting degrees of freedom near the horizon. The divergence of density of states and free energy appearing in the thin film brick-wall model is removed without any cutoff. The entropy proportional to the horizon area is derived from the contribution of the vicinity of the horizon.

Keywords

EN

charged dilaton-axion black hole; residue theorem; entropy; thin film brick-wall model; generalized uncertainty principle

Discipline

• 97.60.Lf: Black holes(see also 04.70.-s Physics of black holes in—General relativity and gravitation; for galactic black holes, see 98.35.Jk and 98.62.Js)
• 04.70.Dy: Quantum aspects of black holes, evaporation, thermodynamics
• 04.62.+v: Quantum fields in curved spacetime

• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 630-637

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Chunyan Wang

• School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, Liaoning, 116024, P.R. China,

author

Yuanxing Gui

• School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, Liaoning, 116024, P.R. China,

author

Lili Xing

• School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, Liaoning, 116024, P.R. China

References

• [1] J.D. Bekenstein, Lett. Nuovo Cimento 4, 7371 (1972) http://dx.doi.org/10.1007/BF02757029[Crossref]
• [2] J.D. Bekenstein, Phys. Rev. D 7, 2333 (1974) http://dx.doi.org/10.1103/PhysRevD.7.2333[Crossref]
• [3] J.D. Bekenstein, Phys. Rev. D 9, 3293 (1974) http://dx.doi.org/10.1103/PhysRevD.9.3292[Crossref]
• [4] S.W. Hawking, Nature 248, 30 (1974) http://dx.doi.org/10.1038/248030a0[Crossref]
• [5] S.W. Hawking, Commun. Math. Phys. 43, 199 (1975) http://dx.doi.org/10.1007/BF02345020[Crossref]
• [6] J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31, 161 (1973) http://dx.doi.org/10.1007/BF01645742[Crossref]
• [7] G. ’t Hooft, Nucl. Phys. B 256, 727 (1985) http://dx.doi.org/10.1016/0550-3213(85)90418-3[Crossref]
• [8] R. Casadio, F. Finelli, M. Luzzi, G. Venturi, Phys. Rev. D 71, 043517 (2005) http://dx.doi.org/10.1103/PhysRevD.71.043517[Crossref]
• [9] M. Luzzi, arXiv:0705.3764 (2007) [WoS]
• [10] L. Susskind, J. Uglum, Phys. Rev. D 50, 2700 (1994) http://dx.doi.org/10.1103/PhysRevD.50.2700[Crossref]
• [11] R.G. Cai, Z.Y. Zhang, Mod. Phys. Letts. A 11, 2027 (1996) http://dx.doi.org/10.1142/S0217732396002010[Crossref]
• [12] E. Winstanley, Phys. Rev. D 63, 084013 (2001) http://dx.doi.org/10.1103/PhysRevD.63.084013[Crossref]
• [13] W.T. Kim, Phys. Rev. D 59, 047503 (1999) http://dx.doi.org/10.1103/PhysRevD.59.047503[Crossref]
• [14] G. Cognola, Phys. Rev. D 57, 6292 (1998) http://dx.doi.org/10.1103/PhysRevD.57.6292[Crossref]
• [15] G. Cognola, P. Lecca, Phys. Rev. D 57, 1108 (1998) http://dx.doi.org/10.1103/PhysRevD.57.1108[Crossref]
• [16] M.H. Lee, J.K. Kim, Phys. Rev. D 54, 3904 (1996) http://dx.doi.org/10.1103/PhysRevD.54.3904[Crossref]
• [17] A. Ghosh, P. Mitra, Phys. Rev. Lett 73, 2521 (1995) http://dx.doi.org/10.1103/PhysRevLett.73.2521[Crossref]
• [18] S.P. Alwis, N. Ohta, Phys. Rev. D 52, 3529 (1995) http://dx.doi.org/10.1103/PhysRevD.52.3529[Crossref]
• [19] M.H. Lee, H.C. Kim, J.K. Kim, Phys. Lett. B 388, 487 (1996) http://dx.doi.org/10.1016/S0370-2693(96)01178-1[Crossref]
• [20] S.N. Solodukhin, Phys. Rev. D 51, 68 (1994)
• [21] R. Zhao, S.L. Zhang, Gen. Relativ. Gravit. 36, 2123 (2004) http://dx.doi.org/10.1023/B:GERG.0000038626.11857.3f[Crossref]
• [22] S. Q. Wu, M.L. Yan, Phys. Rev. D 69, 044019 (2004) http://dx.doi.org/10.1103/PhysRevD.69.044019[Crossref]
• [23] R. Zhao, L.C. Zhang, Int. J. Mod. Phys. D 11, 1381 (2002) http://dx.doi.org/10.1142/S0218271802002335[Crossref]
• [24] L. Jacobson, Phys. Rev. D 50, R6031 (1994) http://dx.doi.org/10.1103/PhysRevD.50.R6031[Crossref]
• [25] X. Li, Phys. Rev. D 65, 084005 (2002) http://dx.doi.org/10.1103/PhysRevD.65.084005[Crossref]
• [26] K. Ghosh, Phys. Rev. D 67, 124027 (2003) http://dx.doi.org/10.1103/PhysRevD.67.124027[Crossref]
• [27] Z. Ren, J.F. Zhang, L.C. Zhang, Nucl. Phys. B 609, 247 (2001) http://dx.doi.org/10.1016/S0550-3213(01)00280-2[Crossref]
• [28] X. Li, Z. Zhao, Phys. Rev. D 62, 104001 (2000) http://dx.doi.org/10.1103/PhysRevD.62.104001[Crossref]
• [29] W.B. Liu, Z. Zhao, Chin. Phys. Lett 18, 310 (2001) http://dx.doi.org/10.1088/0256-307X/18/2/353[Crossref]
• [30] A. Kempf, G. Mangano, R.B. Mann, Phys. Rev. D 52, 1108 (1995) http://dx.doi.org/10.1103/PhysRevD.52.1108[Crossref]
• [31] F. Scardigli, Phys. Lett. B 452, 39 (1999) http://dx.doi.org/10.1016/S0370-2693(99)00167-7[Crossref]
• [32] S.K. Rama, Phys. Lett. B 519, 103 (2001) http://dx.doi.org/10.1016/S0370-2693(01)01091-7[Crossref]
• [33] L.N. Chang, D. Minic, N. Okamura, T. Takeuchi, Phys. Rev. D 65, 125028 (2002) http://dx.doi.org/10.1103/PhysRevD.65.125028[Crossref]
• [34] M.R. Setare, Phys. Rev. D 70, 087501 (2004) http://dx.doi.org/10.1103/PhysRevD.70.087501[Crossref]
• [35] K. Nozari, Phys. Lett. B 629, 41 (2005) http://dx.doi.org/10.1016/j.physletb.2005.09.057[Crossref]
• [36] U. Harbach, S. Hossenfelder, Phys. Lett. B 632, 379 (2006) http://dx.doi.org/10.1016/j.physletb.2005.10.045[Crossref]
• [37] Y. Ling, B. Hu and X. Li, Phys. Rev. D 73, 087702 (2006) http://dx.doi.org/10.1103/PhysRevD.73.087702[Crossref]
• [38] Y. S. Myung, Y.W. Kim, Y.J. Park, Phys. Lett. B 645, 393 (2007) http://dx.doi.org/10.1016/j.physletb.2006.12.062[Crossref]
• [39] X. Li, Phys. Lett. B 540, 9 (2002) http://dx.doi.org/10.1016/S0370-2693(02)02123-8[Crossref]
• [40] C.Z. Liu, Int. J. Theor. Phys. 44, 567 (2005) http://dx.doi.org/10.1007/s10773-005-3983-8[Crossref]
• [41] X.F. Sun, W.B. Liu, Mod. Phys. Lett. A 19, 677 (2004) http://dx.doi.org/10.1142/S0217732304013192[Crossref]
• [42] W.B. Liu, Y.W. Han, Z. Zhou, Int. J. Mod. Phys. A 18, 2681 (2003) http://dx.doi.org/10.1142/S0217751X03013673[Crossref]
• [43] W. Kim, Y.W. Kim, Y.J. Park, Phys. Rev. D 74, 104001 (2006) http://dx.doi.org/10.1103/PhysRevD.74.104001[Crossref]
• [44] W. Kim, Y.W. Kim, Y.J. Park, Phys. Rev. D 75, 127501 (2007) http://dx.doi.org/10.1103/PhysRevD.75.127501[Crossref]
• [45] M. Yoon, J. Ha, W. Kim, Phys. Rev. D 76, 047501 (2007) http://dx.doi.org/10.1103/PhysRevD.76.047501[Crossref]
• [46] S. Sur, S. Das, S. Sengupta, J. High Energy Phys. 0510, 064 (2005) http://dx.doi.org/10.1088/1126-6708/2005/10/064[Crossref]
• [47] T. Ghosh, S. SenGupta, Phys. Rev. D 78, 024045 (2008) http://dx.doi.org/10.1103/PhysRevD.78.024045[Crossref]

Identifiers

DOI

10.2478/s11534-008-0151-9