Hawking radiation as tunneling from a Vaidya black hole in noncommutative gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 81, Issue 12, 2010, Pages

  Mehdipour, S Hamid ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955310359     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.81.124049     Document Type: Article

References (90)

1. H. Weyl, Z. Phys. 46, 1 (1927); ZEPYAA 0044-3328 10.1007/BF02055756
2. E. Wigner, Phys. Rev. 40, 749 (1932); PHRVAO 0031-899X 10.1103/PhysRev.40.749
3. J.E. Moyal, Proc. Cambridge Philos. Soc. PCPSA4 0008-1981 45, 99 (1949). 10.1017/S0305004100000487
4. A. Smailagic and E. Spallucci, Phys. Rev. D PRVDAQ 0556-2821 65, 107701 (2002); 10.1103/PhysRevD.65.107701 (Pubitemid 44628427)
5. A. Smailagic E. Spallucci J. Phys. A JPHAC5 0305-4470 35, L363 (2002); 10.1088/0305-4470/35/26/103 (Pubitemid 37049226)
6. A. Smailagic E. Spallucci J. Phys. A JPHAC5 0305-4470 36, L467 (2003); 10.1088/0305-4470/36/33/101 (Pubitemid 37341889)
7. A. Smailagic E. Spallucci J. Phys. A JPHAC5 0305-4470 36, L517 (2003); 10.1088/0305-4470/36/39/103 (Pubitemid 37316711)
8. A. Smailagic E. Spallucci J. Phys. A JPHAC5 0305-4470 37, 7169 (2004). 10.1088/0305-4470/37/28/008 (Pubitemid 38956314)
9. P. Nicolini, A. Smailagic, and E. Spallucci, Phys. Lett. B 632, 547 (2006); PYLBAJ 0370-2693 10.1016/j.physletb.2005.11.004 (Pubitemid 43006012)
10. S. Ansoldi, P. Nicolini, A. Smailagic, and E. Spallucci, Phys. Lett. B 645, 261 (2007); PYLBAJ 0370-2693 10.1016/j.physletb.2006.12.020
11. P. Nicolini, Int. J. Mod. Phys. A 24, 1229 (2009). IMPAEF 0217-751X 10.1142/S0217751X09043353
12. J.L. Hewett, F.J. Petriello, and T.G. Rizzo, Phys. Rev. D PRVDAQ 0556-2821 66, 036001 (2002); 10.1103/PhysRevD.66.036001 (Pubitemid 44947716)
13. J.M. Conroy, H.J. Kwee, and V. Nazaryan, Phys. Rev. D PRVDAQ 0556-2821 68, 054004 (2003); 10.1103/PhysRevD.68.054004
14. T. Ohl and J. Reuter, Phys. Rev. D PRVDAQ 1550-7998 70, 076007 (2004); 10.1103/PhysRevD.70.076007
15. P. Schupp, J. Trampetic, J. Wess, and G. Raffelt, Eur. Phys. J. C 36, 405 (2004); EPCFFB 1434-6044 10.1140/epjc/s2004-01874-5 (Pubitemid 40801544)
16. I. Hinchliffe, N. Kersting, and Y.L. Ma, Int. J. Mod. Phys. A 19, 179 (2004); IMPAEF 0217-751X 10.1142/S0217751X04017094
17. B. Melic, K. Passek-Kumericki, J. Trampetic, P. Schupp, and M. Wohlgenannt, Eur. Phys. J. C EPCFFB 1434-6044 42, 499 (2005); 10.1140/epjc/s2005-02301-3 (Pubitemid 41202552)
18. X. Calmet, Eur. Phys. J. C 41, 269 (2005); EPCFFB 1434-6044 10.1140/epjc/s2005-02226-9 (Pubitemid 40678600)
19. C.D. Carone and H.J. Kwee, Phys. Rev. D PRVDAQ 1550-7998 73, 096005 (2006); 10.1103/PhysRevD.73.096005
20. A. Alboteanu, T. Ohl, and R. Ruckl, Phys. Rev. D PRVDAQ 1550-7998 74, 096004 (2006); 10.1103/PhysRevD.74.096004 (Pubitemid 44748700)
21. J.I. Kamoshita, Eur. Phys. J. C 52, 451 (2007). EPCFFB 1434-6044 10.1140/epjc/s10052-007-0371-y
22. I. Antoniadis, Phys. Lett. B 246, 377 (1990); PYLBAJ 0370-2693 10.1016/0370-2693(90)90617-F
23. J.D. Lykken, Phys. Rev. D PRVDAQ 0556-2821 54, R3693 (1996); 10.1103/PhysRevD.54.R3693
24. E. Witten, Nucl. Phys. NUPBBO 0550-3213 B471, 135 (1996); 10.1016/0550-3213(96)00190-3
25. N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B 429, 263 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00466-3
26. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B 436, 257 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00860-0
27. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.3370
28. L. Randall R. Sundrum Phys. Rev. Lett. 83, 4690 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.4690
29. T.G. Rizzo, J. High Energy Phys. JHEPFG 1029-8479 09 (2006) 021; 10.1088/1126-6708/2006/09/021
30. R. Casadio and P. Nicolini, J. High Energy Phys. JHEPFG 1029-8479 11 (2008) 072; 10.1088/1126-6708/2008/11/072
31. E. Spallucci, A. Smailagic, and P. Nicolini, Phys. Lett. B 670, 449 (2009); PYLBAJ 0370-2693 10.1016/j.physletb.2008.11.030
32. K. Nozari and S.H. Mehdipour, J. High Energy Phys. JHEPFG 1029-8479 03 (2009) 061; 10.1088/1126-6708/2009/03/061
33. K. Nozari S.H. Mehdipour Commun. Theor. Phys. 53, 503 (2010). CTPHDI 0253-6102 10.1088/0253-6102/53/3/20
34. S.W. Hawking, Commun. Math. Phys. CMPHAY 0010-3616 43, 199 (1975). 10.1007/BF02345020
35. M.K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.5042 (Pubitemid 32871770)
36. S. Shankaranarayanan, T. Padmanabhan, and K. Srinivasan, Classical Quantum Gravity CQGRDG 0264-9381 19, 2671 (2002); 10.1088/0264-9381/19/10/310 (Pubitemid 37035206)
37. S. Shankaranarayanan T. Padmanabhan K. Srinivasan Mod. Phys. Lett. A 16, 571 (2001). MPLAEQ 0217-7323 10.1142/S0217732301003632
38. M.K. Parikh, Int. J. Mod. Phys. D 13, 2351 (2004). IMPDEO 0218-2718 10.1142/S0218271804006498
39. P.C. Vaidya, Proc. Indian Acad. Sci. A 33, 264 (1951); PISAA7 0370-0089
40. P.C. Vaidya reprinted in Gen. Relativ. Gravit. GRGVA8 0001-7701 31, 119 (1999). 10.1023/A:1018871522880
41. A.N. St. J. Farley and P.D. D'Eath, Gen. Relativ. Gravit. GRGVA8 0001-7701 38, 425 (2006). 10.1007/s10714-006-0231-3 (Pubitemid 43411606)
42. H. Stephani, Exact Solutions to Einstein's Field Equations (Cambridge University Press, Cambridge, England, 2003), 2nd ed.
43. R. Penrose, Riv. Nuovo Cim. RNUCAC 0035-5917 1, 252 (1969).
44. J.M. McNamara, Proc. R. Soc. A PRLAAZ 0080-4630 358, 499 (1978); 10.1098/rspa.1978.0024
45. J.M. McNamara Proc. R. Soc. A PRLAAZ 0080-4630 364, 121 (1978); 10.1098/rspa.1978.0191
46. Y. Gürsel, V.D. Sandberg, I.D. Novikov, and A.A. Starobinsky, Phys. Rev. D PRVDAQ 0556-2821 19, 413 (1979); 10.1103/PhysRevD.19.413
47. Y. Gürsel V.D. Sandberg I.D. Novikov A.A. Starobinsky Phys. Rev. D PRVDAQ 0556-2821 20, 1260 (1979); 10.1103/PhysRevD.20.1260
48. R.A. Matzner, N. Zamorano, and V.D. Sandberg, Phys. Rev. D PRVDAQ 0556-2821 19, 2821 (1979); 10.1103/PhysRevD.19.2821
49. S. Chandrasekhar and J.B. Hartle, Proc. R. Soc. A PRLAAZ 0080-4630 384, 301 (1982); 10.1098/rspa.1982.0160
50. E. Poisson and W. Israel, Phys. Rev. D PRVDAQ 0556-2821 41, 1796 (1990); 10.1103/PhysRevD.41.1796
51. L.M. Burko and A. Ori, Phys. Rev. Lett. 74, 1064 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.74.1064
52. D. Markovic and E. Poisson, Phys. Rev. Lett. 74, 1280 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.74.1280
53. D.M. Eardley, Phys. Rev. Lett. 33, 442 (1974); PRLTAO 0031-9007 10.1103/PhysRevLett.33.442
54. V.P. Frolov, Zh. Eksp. Teor. Fiz. 66, 813 (1974); ZETFA7 0044-4510
55. D.M. Eardley and W.H. Press, Annu. Rev. Astron. Astrophys. ARAAAJ 0066-4146 13, 381 (1975); 10.1146/annurev.aa.13.090175.002121
56. I. Redmount, Prog. Theor. Phys. PTPKAV 0033-068X 73, 1401 (1985). 10.1143/PTP.73.1401
57. F.J. Tipler, C.J.S. Clarke, and G.F.R. Ellis, General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein (Plenum Press, New York, 1980), Vol. 2.
58. K. Nozari and S.H. Mehdipour, Chaos Solitons Fractals CSFOEH 0960-0779 39, 956 (2009). 10.1016/j.chaos.2007.02.018
59. M.S. El Naschie, Chaos Solitons Fractals CSFOEH 0960-0779 22, 495 (2004). 10.1016/j.chaos.2004.02.028
60. L. Nottale, Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity (World Scientific, Singapore, 1993).
61. J. Preskill, arXiv:hep-th/9209058;
62. D.N. Page, Phys. Rev. Lett. 71, 3743 (1993); PRLTAO 0031-9007 10.1103/PhysRevLett.71.3743
63. C.R. Stephens, G. 't Hooft, and B.F. Whiting, Classical Quantum Gravity CQGRDG 0264-9381 11, 621 (1994); 10.1088/0264-9381/11/3/014
64. A. Strominger, arXiv:hep-th/9501071;
65. T. Banks, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 41, 21 (1995); 10.1016/0920-5632(95)00430-H
66. J.G. Russo, arXiv:hep-th/0501132, and references therein.
67. J.D. Bekenstein, Phys. Rev. D PRVDAQ 0556-2821 7, 2333 (1973). 10.1103/PhysRevD.7.2333
68. K. Nozari and S.H. Mehdipour, Mod. Phys. Lett. A 20, 2937 (2005). MPLAEQ 0217-7323 10.1142/S0217732305018050 (Pubitemid 41642854)
69. P. Painlevé, C. R. Acad. Sci. (Paris) 173, 677 (1921).
70. H.M. Siahaan and Triyanta, Int. J. Mod. Phys. A 25, 145 (2010); IMPAEF 0217-751X 10.1142/S0217751X1004749X
71. H.M. Siahaan Triyanta arXiv:0811.1132.
72. E.T. Akhmedov, V. Akhmedova, and D. Singleton, Phys. Lett. B 642, 124 (2006); PYLBAJ 0370-2693 10.1016/j.physletb.2006.09.028 (Pubitemid 44548246)
73. E.T. Akhmedov, V. Akhmedova, T. Pilling, and D. Singleton, Int. J. Mod. Phys. A 22, 1705 (2007). IMPAEF 0217-751X 10.1142/S0217751X07036130
74. B.D. Chowdhury, Pramana 70, 3 (2008). PRAMCI 0304-4289 10.1007/s12043-008-0001-8
75. T. Pilling, Phys. Lett. B 660, 402 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2008.01.015
76. V. Akhmedova, T. Pilling, A. de Gill, and D. Singleton, Phys. Lett. B 666, 269 (2008); PYLBAJ 0370-2693 10.1016/j.physletb.2008.07.017
77. E.T. Akhmedov, T. Pilling, and D. Singleton, Int. J. Mod. Phys. D 17, 2453 (2008). IMPDEO 0218-2718 10.1142/S0218271808013947
78. P. Kraus and F. Wilczek, Nucl. Phys. NUPBBO 0550-3213 B433, 403 (1995); 10.1016/0550-3213(94)00411-7
79. P. Kraus F. Wilczek Mod. Phys. Lett. A 9, 3713 (1994). MPLAEQ 0217-7323 10.1142/S0217732394003567
80. E. Keski-Vakkuri and P. Kraus, Nucl. Phys. NUPBBO 0550-3213 B491, 249 (1997). 10.1016/S0550-3213(97)00085-0
81. M. Arzano, A.J.M. Medved, and E.C. Vagenas, J. High Energy Phys. JHEPFG 1029-8479 09 (2005) 037; 10.1088/1126-6708/2005/09/037
82. A.J.M. Medved and E.C. Vagenas, Mod. Phys. Lett. A 20, 1723 (2005). MPLAEQ 0217-7323 10.1142/S0217732305018025 (Pubitemid 41016148)
83. R. Banerjee, B.R. Majhi, and S. Samanta, Phys. Rev. D PRVDAQ 1550-7998 77, 124035 (2008); 10.1103/PhysRevD.77.124035
84. R. Banerjee and B.R. Majhi, Phys. Lett. B 662, 62 (2008); PYLBAJ 0370-2693 10.1016/j.physletb.2008.02.044
85. R. Banerjee B.R. Majhi J. High Energy Phys. JHEPFG 1029-8479 06 (2008) 095. 10.1088/1126-6708/2008/06/095
86. R. Banerjee, B. Chakraborty, S. Ghosh, P. Mukherjee, and S. Samanta, Found. Phys. 39, 1297 (2009); FNDPA4 0015-9018 10.1007/s10701-009-9349-y
87. R. Banerjee, B.R. Majhi, and S.K. Modak, Classical Quantum Gravity CQGRDG 0264-9381 26, 085010 (2009). 10.1088/0264-9381/26/8/085010
88. S. Massar and R. Parentani, Nucl. Phys. NUPBBO 0550-3213 B575, 333 (2000). 10.1016/S0550-3213(00)00067-5
89. K. Nozari and S.H. Mehdipour, Classical Quantum Gravity CQGRDG 0264-9381 25, 175015 (2008); 10.1088/0264-9381/25/17/175015
90. S.H. Mehdipour, Commun. Theor. Phys. 52, 865 (2009). CTPHDI 0253-6102 10.1088/0253-6102/52/5/22