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Quantum nonthermal effect of the Vaidya–Bonner–de Sitter black hole |
Wei-Zhen Pan(潘伟珍, ), Xue-Jun Yang(杨学军), Guo-Xiang Yu(余国祥) |
Department of Physics and Electronic Information, Shaoxing University, Shaoxing 312000, China |
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Abstract Using the Hamilton–Jacobi equation of a scalar particle in the curve space-time and a correct-dimension new tortoise coordinate transformation, the quantum nonthermal radiation of the Vaidya–Bonner–de Sitter black hole is investigated. The energy condition for the occurrence of the Starobinsky–Unruh process is obtained. The event horizon surface gravity and the Hawking temperature on the event horizon are also given.
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Keywords
quantum nonthermal radiation
Hamilton–Jacobi equation
new tortoise coordinate transformation
Vaidya–Bonner–de Sitter black hole
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Corresponding Author(s):
Wei-Zhen Pan(潘伟珍),Email:panwz8@usx.edu.cn
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Issue Date: 01 February 2014
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1 |
S. W. Hawking, Black hole explosions, Nature , 1974, 248(5443): 30 doi: 10.1038/248030a0
|
2 |
S. W. Hawking, Particle creation by black holes, Commun. Math. Phys. , 1975, 43(3): 199 doi: 10.1007/BF02345020
|
3 |
R. G. Cai and L. M. Cao, Unified first law and the thermodynamics of the apparent horizon in the FRW universe, Phys. Rev. D , 2007, 75(6): 064008 doi: 10.1103/PhysRevD.75.064008
|
4 |
Z. Zhao, A universal method determining Hawking effect in spherically symmetric or plane-symmetric non-static spacetimes, Chin. Phys. Lett. , 1992, 9(9): 501 doi: 10.1088/0256-307X/9/9/015
|
5 |
S. A. Hayward, Quasi-local gravitational energy, Phys. Rev. D , 1994, 49(2): 831 doi: 10.1103/PhysRevD.49.831
|
6 |
J. R. Ren and R. Li, Unified first law and thermodynamics of dynamical black hole in n-dimensional Vaidya spacetime, Mod. Phys. Lett. A , 2008, 23(38): 3265 doi: 10.1142/S0217732308028831
|
7 |
M. K. Parikh and F. Wilczek, Hawking radiation as tunneling, Phys. Rev. Lett. , 2000, 85(24): 5042 doi: 10.1103/PhysRevLett.85.5042
|
8 |
W. B. Liu, Massive radiation via tunneling in a BTZ black hole, Int. J. Theor. Phys. , 2008, 47(7): 1979 doi: 10.1007/s10773-007-9641-6
|
9 |
Q. Q. Jiang, S. Q.Wu, and X. Cai, Hawking radiation as tunneling from the Kerr and Kerr–Newman black holes, Phys. Rev. D , 2006, 73(6): 064003 doi: 10.1103/PhysRevD.73.064003
|
10 |
D. Y. Chen, Q. Q. Jiang, and X. T. Zu, Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces, Phys. Lett. B , 2008, 665(2-3): 106 doi: 10.1016/j.physletb.2008.05.064
|
11 |
J. Y. Zhang and Z. Zhao, Hawking radiation of charged particles via tunneling from the Reissner–Nordstr?m black hole, J. High Energy Phys. , 2005, 10: 055
|
12 |
J. Y. Zhang and Z. Zhao, Massive particles’ black hole tunneling and de Sitter tunneling, Nucl. Phys. B , 2005, 725(1-2): 173 doi: 10.1016/j.nuclphysb.2005.07.024
|
13 |
S. Z. Yang and D. Y. Chen, Tunnelling effect of the nonstationary Kerr black hole, Chin. Phys. B , 2008, 17(3): 817 doi: 10.1088/1674-1056/17/3/014
|
14 |
W. B. Liu, Massive tunneling in static black holes, Il. Nuovo. Cimento. B , 2007, 122: 59
|
15 |
C. Z. Liu, J. Y. Zhang, and Z. Zhao, Charged particles’ tunneling from a dilaton black hole, Phys. Lett. B , 2006, 639(6): 670 doi: 10.1016/j.physletb.2006.07.023
|
16 |
C. Z. Liu, Hawking radiation via tunneling of massive particles from a gravity’s rainbow, Mod. Phys. Lett. A , 2010, 25(38): 3229 doi: 10.1142/S0217732310034341
|
17 |
K. Srinivasan and T. Padmanabhan, Particle production and complex path analysis, Phys. Rev. D , 1999, 60(2): 024007 doi: 10.1103/PhysRevD.60.024007
|
18 |
M. Angheben, M. Nadalini, L. Vanzo and S. Zerbini, Hawking radiation as tunneling for extremal and rotating Black holes, J. High Energy Phys. , 2005, 05: 014
|
19 |
M. Nadalini, L. Vanzo, and S. Zerbini, Hawking Radiation as Tunneling: the D-dimensional rotating case, J. Phys. A , 2006, 39(21): 6601 doi: 10.1088/0305-4470/39/21/S59
|
20 |
S. Z. Yang and D. Y. Chen, Hawking radiation as tunneling from the Vaidya–Bonner black hole, Int. J. Theor. Phys. , 2007, 46(11): 2923 doi: 10.1007/s10773-007-9404-4
|
21 |
H. Ding and W. B. Liu, Hawking radiation from a Vaidya black hole by Hamilton–Jacobi method, Front. Phys. , 2011, 6(1): 106 doi: 10.1007/s11467-010-0114-7
|
22 |
A. A. Starobinsky, Amplification of waves during reflection from a rotating black hole, Sov. Phys. JETP , 1973, 37(1): 28
|
23 |
W. G. Unruh, Second quantization in the Kerr metric, Phys. Rev. D , 1974, 10(10): 3194 doi: 10.1103/PhysRevD.10.3194
|
24 |
S. Z. Yang and L. B. Lin, The quantum nonthermal effect of a nonstationary Kerr–Newman black hole and the average range of the effective particles, Chin. Phys. B , 2002, 11(6): 619
|
25 |
Q. M. Meng, S. Wang, J. J. Jiang, and D. L. Deng, Thermal radiation and nonthermal radiation of the slowly changing dynamic Kerr–Newman black hole, Chin. Phys. B , 2008, 17(8): 2811 doi: 10.1088/1674-1056/17/8/011
|
26 |
W. Z. Pan, X. J. Yang, and Z. K. Xie, Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation, Chin. Phys. B , 2011, 20(4): 049701 doi: 10.1088/1674-1056/20/4/049701
|
27 |
S. Z. Yang, Discussion on the characteristics of the quantum radiation of unstationary and slowly-changing Reissner–Nordstr?m black hole, Acta Phys. Sin. , 2004, 53(11): 4007(in Chinese)
|
28 |
H. L. Li and S. Z. Yang, Fermion tunneling of charged particles from a non-static black hole in de Sitter space, Chin. Phys. B , 2009, 18(11): 4721 doi: 10.1088/1674-1056/18/11/019
|
29 |
Z. Zhao, J. Yang, and W. B. Liu, New tortoise coordinates to research temperature of dynamical black holes, J. Beijing Normal University (Natural Science Edition) , 2010, 46(1): 32 (in Chinese)
|
30 |
B. Liu and W. B. Liu, The thermodynamics in a dynamical black hole, Front. Phys. China , 2009, 4(1): 94 doi: 10.1007/s11467-009-0002-1
|
31 |
Z. Zhao, Thermal Properties of Black Holes and Singularities of Space-times, Beijing: Beijing Normal University Press, 1999 (in Chinese)
|
32 |
J. Deng, Q. Q. Jiang, Z. W. Feng, and G. P. Li, Entroy of Vaidya–Bonner–de Sitter black hole with a new general tortoise coordinates, J. Sichuan University (Natural Science Edition) , 2012, 49(1): 146(in Chinese)
|
33 |
K. Lin and S. Z. Yang, A new method of researching fermion tunneling from the Vaidya–Bonner–de Sitter black hole, Chin. Phys. B , 2009, 18(6): 2154 doi: 10.1088/1674-1056/18/6/008
|
34 |
Y. Mang and S. Z. Yang, Hawking radiation of charged dirac particles in Vaidya–Bonner–de Sitter space-time, Acta Phys. Sin. , 1997, 46(11): 2280(in Chinese)
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