Quantum black hole in the generalized uncertainty principle framework

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 81, Issue 2, 2010, Pages

  Bina, A ^a   Jalalzadeh, S ^b,c   Moslehi, A ^a  

^a ARAK UNIVERSITY   (Iran)

^b SHAHID BEHESHTI UNIVERSITY   (Iran)

^c Research Institute for Astronomy and Astrophysics of Maragha (RIAAM)   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77649230911     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.81.023528     Document Type: Article

References (90)

1. J.D. Bekenstein, Phys. Rev. D PRVDAQ 0556-2821 7, 2333 (1973); 10.1103/PhysRevD.7.2333
2. J.D. Bekenstein Phys. Rev. D PRVDAQ 0556-2821 9, 3292 (1974); 10.1103/PhysRevD.9.3292
3. J.D. Bekenstein, Lett. Nuovo Cimento 11, 467 (1974). NCLTAX 0024-1318 10.1007/BF02762768
4. J.E. Bardeen, B. Carter, and S.W. Hawking, Commun. Math. Phys. 31, 161 (1973). CMPHAY 0010-3616 10.1007/BF01645742
5. S.W. Hawking, Nature (London) NATUAS 0028-0836 248, 30 (1974); 10.1038/248030a0
6. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975); CMPHAY 0010-3616 10.1007/BF02345020
7. G.W. Gibbons and S.W. Hawking, Phys. Rev. D PRVDAQ 0556-2821 15, 2752 (1977). 10.1103/PhysRevD.15.2752
8. M. Bojowald and H.A. Kastrup, Classical Quantum Gravity CQGRDG 0264-9381 17, 3009 (2000). 10.1088/0264-9381/17/15/311
9. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996); PYLBAJ 0370-2693 10.1016/0370-2693(96)00345-0
10. J.M. Maldacena and A. Strominger, Phys. Rev. Lett. 77, 428 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.428
11. A.W. Peet, Classical Quantum Gravity CQGRDG 0264-9381 15, 3291 (1998); 10.1088/0264-9381/15/11/003 (Pubitemid 128155138)
12. M. Maggiore, Nucl. Phys. NUPBBO 0550-3213 B429, 205 (1994); 10.1016/S0550-3213(94)80047-2
13. C.O. Lousto, Phys. Rev. D PRVDAQ 0556-2821 51, 1733 (1995). 10.1103/PhysRevD.51.1733
14. D.J. Gross and P.F. Mende, Nucl. Phys. NUPBBO 0550-3213 B303, 407 (1988); 10.1016/0550-3213(88)90390-2
15. D. Amati, M. Ciafaloni, and G. Veneziano, Phys. Lett. B 216, 41 (1989). PYLBAJ 0370-2693 10.1016/0370-2693(89)91366-X
16. M. Kato, Phys. Lett. B 245, 43 (1990); PYLBAJ 0370-2693 10.1016/0370-2693(90)90162-Y
17. S. de Haro, J. High Energy Phys. JHEPFG 1029-8479 10 (1998) 023; 10.1088/1126-6708/1998/10/023
18. L.G. Garay, Int. J. Mod. Phys. A 10, 145 (1995). IMPAEF 0217-751X 10.1142/S0217751X95000085
19. A. Kempf and G. Mangano, Phys. Rev. D PRVDAQ 0556-2821 55, 7909 (1997). 10.1103/PhysRevD.55.7909
20. H.S. Snyder, Phys. Rev. 71, 38 (1947). PHRVAO 0031-899X 10.1103/PhysRev.71.38
21. A. Connes, Noncommutative Geometry (Academic Press, New York, 1994);
22. A. Connes J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 41, 3832 (2000). 10.1063/1.533329
23. J.C. Varilly, An Introduction to Noncommutative Geometry, Lectures at EMS Summer School on NCG and Applications (2007).
24. M.R. Douglas and N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001). RMPHAT 0034-6861 10.1103/RevModPhys.73.977 (Pubitemid 33395905)
25. S. Doplicher, K. Fredenhagen, and J.E. Roberts, Phys. Lett. B 331, 39 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90940-7
26. S. Minwalla, M. Van Raamsdonk, and N. Seiberg, J. High Energy Phys. JHEPFG 1029-8479 02 (2000) 020. 10.1088/1126-6708/2000/02/020
27. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane, and T. Okamoto, Phys. Rev. Lett. 87, 141601 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87. 141601 (Pubitemid 32962130)
28. C.E. Carlson, C.D. Carone, and R.F. Lebed, Phys. Lett. B 518, 201 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01045-0 (Pubitemid 32937193)
29. Gaetano Fiore and Julius Wess, Phys. Rev. D PRVDAQ 1550-7998 75, 105022 (2007). 10.1103/PhysRevD.75.105022
30. Giovanni Amelino-Camelia, Fabio Briscese, Giulia Gubitosi, Antonino Marcianò, Pierre Martinetti, and Flavio Mercati, Phys. Rev. D PRVDAQ 1550-7998 78, 025005 (2008). 10.1103/PhysRevD.78.025005
31. Marija Dimitrijević, Larisa Jonke, Lutz Möller, Efrossini Tsouchnika, Julius Wess, and Michael Wohlgenannt, Eur. Phys. J. C 31, 129 (2003). EPCFFB 1434-6044 10.1140/epjc/s2003-01309-y (Pubitemid 38614531)
32. A. Agostini, G. Amelino-Camelia, M. Arzano, A. Marcianò, and R.A. Tacchi, Mod. Phys. Lett. A 22, 1779 (2007). MPLAEQ 0217-7323 10.1142/S0217732307024280
33. R.J. Szabo, Phys. Rep. 378, 207 (2003). PRPLCM 0370-1573 10.1016/S0370-1573(03)00059-0 (Pubitemid 36412384)
34. A. Bina, K. Atazadeh, and S. Jalalzadeh, Int. J. Theor. Phys. 47, 1354 (2008); IJTPBM 0020-7748 10.1007/s10773-007-9577-x
35. N. Khosravi, S. Jalalzadeh, and H.R. Sepangi, J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 134; 10.1088/1126-6708/2006/01/134
36. N. Khosravi, H.R. Sepangi, and M.M. Sheikh-Jabbari, Phys. Lett. B 647, 219 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2007.02.012
37. B. Vakili and H.R. Sepangi, Phys. Lett. B 651, 79 (2007); PYLBAJ 0370-2693 10.1016/j.physletb.2007.06.015
38. Babak Vakili, Phys. Rev. D PRVDAQ 1550-7998 77, 044023 (2008); 10.1103/PhysRevD.77.044023
39. Babak Vakili Int. J. Mod. Phys. D 18, 1059 (2009). IMPDEO 0218-2718 10.1142/S0218271809014935
40. Marco Valerio Battisti and Giovanni Montani, Phys. Lett. B 656, 96 (2007); PYLBAJ 0370-2693 10.1016/j.physletb.2007.09.012
41. Marco Valerio Battisti Giovanni Montani Phys. Rev. D PRVDAQ 1550-7998 77, 023518 (2008). 10.1103/PhysRevD.77.023518
42. Marco Valerio Battisti and Giovanni Montani, Int. J. Mod. Phys. A 23, 1257 (2008); IMPAEF 0217-751X 10.1142/S0217751X08040184
43. Marco Valerio Battisti, Phys. Rev. D PRVDAQ 1550-7998 79, 083506 (2009). 10.1103/PhysRevD.79.083506
44. S. Hawking, Commun. Math. Phys. 87, 395 (1982). CMPHAY 0010-3616 10.1007/BF01206031
45. D.N. Page, Phys. Rev. Lett. 44, 301 (1980); PRLTAO 0031-9007 10.1103/PhysRevLett.44.301
46. G. T'Hooft, Nucl. Phys. NUPBBO 0550-3213 B256, 727 (1985); 10.1016/0550-3213(85)90418-3
47. A. Mikovic, Phys. Lett. B 304, 70 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)91402-9
48. Y. Aharonov, A. Casher, and S. Nussinov, Phys. Lett. B 191, 51 (1987); PYLBAJ 0370-2693 10.1016/0370-2693(87)91320-7
49. T. Banks, A. Dabholkar, M.R. Douglas, and M. OLoughlin, Phys. Rev. D PRVDAQ 0556-2821 45, 3607 (1992). 10.1103/PhysRevD.45.3607
50. Y.B. Zeldovich, in Proc. 2nd Seminar in Quantum Gravity, edited by, M.A. Markov, and, P.C. West, (Plenum, New York, 1984).
51. A.J.M. Medved and E.C. Vagenas, Phys. Rev. D PRVDAQ 1550-7998 70, 124021 (2004). 10.1103/PhysRevD.70.124021
52. Giovanni Amelino-Camelia, Michele Arzano, and Andrea Procaccini, Phys. Rev. D PRVDAQ 1550-7998 70, 107501 (2004); 10.1103/PhysRevD.70.107501
53. Rong-Jia Yang and Shuang Nan Zhang, Phys. Rev. D PRVDAQ 1550-7998 79, 124005 (2009). 10.1103/PhysRevD.79.124005
54. Giovanni Amelino-Camelia, Michele Arzano, Yi Ling, and Gianluca Mandanici, Classical Quantum Gravity CQGRDG 0264-9381 23, 2585 (2006). 10.1088/0264-9381/23/7/022
55. Zhao Ren and Zhang Sheng-Li, Phys. Lett. B 641, 208 (2006); PYLBAJ 0370-2693 10.1016/j.physletb.2006.08.056 (Pubitemid 44402918)
56. M.M. Akbar and Saurya Das, Classical Quantum Gravity CQGRDG 0264-9381 21, 1383 (2004); 10.1088/0264-9381/21/6/007
57. Li Xiang and X.Q. Wen, arXiv:0901.0603v2.
58. S. Hossenfelder, Phys. Lett. B 598, 92 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.07.056
59. J. Mäkelä and P. Repo, Phys. Rev. D PRVDAQ 0556-2821 57, 4899 (1998). 10.1103/PhysRevD.57.4899
60. O. Obregon, M. Sabido, and V.I. Tkach, Gen. Relativ. Gravit. GRGVA8 0001-7701 33, 913 (2001). 10.1023/A:1010216126590 (Pubitemid 33314755)
61. J.C. Lopez-Dominguez, O. Obregon, M. Sabido, and C. Ramirez, Phys. Rev. D PRVDAQ 1550-7998 74, 084024 (2006). 10.1103/PhysRevD.74.084024 (Pubitemid 44607515)
62. H.A. Kastrup, Phys. Lett. B 413, 267 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)01121-0
63. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
64. Hagen Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, and Financial Markets (World Scientific, Singapore, 2004), 3rd ed..
65. G. Gour, Phys. Rev. D PRVDAQ 0556-2821 61, 021501 (1999). 10.1103/PhysRevD.61.021501
66. M. Domagala and J. Lewandowski, Classical Quantum Gravity CQGRDG 0264-9381 21, 5233 (2004); 10.1088/0264-9381/21/22/014 (Pubitemid 39603941)
67. K.A. Meissner, Classical Quantum Gravity CQGRDG 0264-9381 21, 5245 (2004); 10.1088/0264-9381/21/22/015 (Pubitemid 39603942)
68. A. Ghosh and P. Mitra, Phys. Rev. D PRVDAQ 1550-7998 71, 027502 (2005). 10.1103/PhysRevD.71.027502
69. S. Mukherji and S.S. Pal, J. High Energy Phys. JHEPFG 1029-8479 05 (2002) 026. 10.1088/1126-6708/2002/05/026
70. S. Hod, Phys. Rev. Lett. 81, 4293 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.4293
71. C. Vaz, Phys. Rev. D PRVDAQ 0556-2821 61, 064017 (2000); 10.1103/PhysRevD.61.064017
72. C. Vaz arXiv:gr-qc/9903051;
73. G. Scharf, Nuovo Cimento Soc. Ital. Fis. B NIFBAP 0369-4100 113, 821 (1998);
74. B. Harms and Y. Leblanc, Phys. Rev. D PRVDAQ 0556-2821 46, 2334 (1992). 10.1103/PhysRevD.46.2334
75. Vladan Panković, Jovan Ivanović, and Milan Predojević, arXiv:0810.0916.
76. A. Kempf, G. Mangano, and R.B. Mann, Phys. Rev. D PRVDAQ 0556-2821 52, 1108 (1995). 10.1103/PhysRevD.52.1108
77. A. Kempf, J. Phys. A JPHAC5 0305-4470 30, 2093 (1997). 10.1088/0305-4470/30/6/030 (Pubitemid 127041758)
78. D. Amati, M. Ciafaloni, and G. Veneziano, Nucl. Phys. NUPBBO 0550-3213 B347, 550 (1990); 10.1016/0550-3213(90)90375-N
79. D. Amati M. Ciafaloni G. Veneziano Nucl. Phys. NUPBBO 0550-3213 B403, 707 (1993). 10.1016/0550-3213(93)90367-X
80. K. Konishi, G. Paffuti, and P. Provero, Phys. Lett. B 234, 276 (1990). PYLBAJ 0370-2693 10.1016/0370-2693(90)91927-4
81. L.N. Chang, D. Minic, N. Okamura, and T. Takeuchi, Phys. Rev. D PRVDAQ 0556-2821 65, 125027 (2002). 10.1103/PhysRevD.65.125027 (Pubitemid 44628320)
82. I. Dadić, L. Jonke, and S. Meljanac, Phys. Rev. D PRVDAQ 0556-2821 67, 087701 (2003). 10.1103/PhysRevD.67.087701
83. Djamil Bouaziz and Michel Bawin, Phys. Rev. A 76, 032112 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.032112 (Pubitemid 47429328)
84. S. Benczik, L.N. Chang, D. Minic, N. Okamura, S. Rayyan, and T. Takeuchi, Phys. Rev. D PRVDAQ 0556-2821 66, 026003 (2002). 10.1103/PhysRevD.66.026003
85. A. Kempf, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 35, 4483 (1994). 10.1063/1.530798 (Pubitemid 24816782)
86. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972);
87. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 2000).
88. A.M. Frydryzhak and V.M. Tkachuk, Czech. J. Phys. CZLIA6 0011-4626 53, 1035 (2003). 10.1023/B:CJOP.0000010529.32268.03 (Pubitemid 39031889)
89. T.V. Fityo, Phys. Lett. A 372, 5872 (2008). PYLAAG 0375-9601 10.1016/j.physleta.2008.07.047
90. Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias, and João Nuno Prata, arXiv:0907.1818.