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Hawking radiation from a Vaidya black hole by Hamilton–Jacobi method |
Han DING (丁翰,), Wen-biao LIU (刘文彪,) |
Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China |
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Abstract Using the Hamilton–Jacobi method, Hawking radiation from the apparent horizon of a dynamical Vaidya black hole is calculated. The black hole thermodynamics can be built successfully on the apparent horizon. If a relativistic perturbation is given to the apparent horizon, a similar calculation can also lead to a purely thermal spectrum, which corresponds to a modified temperature from the former. The first law of thermodynamics can also be constructed successfully at a new supersurface which has a small deviation from the apparent horizon. When the event horizon is thought as such a deviation from the apparent horizon, the expressions of the characteristic position and temperature are consistent with the previous result that asserts that thermodynamics should be built on the event horizon. It is concluded that the thermodynamics should be constructed on the apparent horizon exactly while the event horizon thermodynamics is just one of the perturbations near the apparent horizon.
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Keywords
Vaidya black hole
Hawking radiation
apparent horizon
event horizon
thermodynamics
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Corresponding Author(s):
null,Email:dinghan@mail.bnu.edu.cn; null,Email:wbliu@bnu.edu.cn
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Issue Date: 05 March 2011
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1 |
S. W. Hawking, Nature , 1974, 248: 30 doi: 10.1038/248030a0
|
2 |
S. W. Hawking, Commun. Math. Phys ., 1975, 43(3): 199 doi: 10.1007/BF02345020
|
3 |
J. D. Bekenstein, Phys. Rev. D , 1973, 7: 2333 doi: 10.1103/PhysRevD.7.2333
|
4 |
J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys ., 1973, 31: 161 doi: 10.1007/BF01645742
|
5 |
R. Balbinot, Phys. Rev. D , 1986, 33: 1611 doi: 10.1103/PhysRevD.33.1611
|
6 |
J. Ren, J. Y. Zhang, and Z. Zhao, Chin. Phys. Lett ., 2006, 23: 2019 doi: 10.1088/0256-307X/23/8/016
|
7 |
E. C. Vagenas and S. Das, JHEP , 2006, 0610: 025
|
8 |
G. Fodor, K. Nakamura, Y. Oshiro, and A. Tomimatsu, Phys. Rev. D , 1996, 54: 3882 doi: 10.1103/PhysRevD.54.3882
|
9 |
P. Hajicek, Phys. Rev. D , 1987, 36: 1065 doi: 10.1103/PhysRevD.36.1065
|
10 |
W. Collins, Phys. Rev. D , 1992, 45: 495 doi: 10.1103/PhysRevD.45.495
|
11 |
M. Angheben, M. Nadalini, L. Vanzo, and S. Zerbini, JHEP , 2005, 05: 014
|
12 |
K. Srinivasam and T. Padmanabhan, Phys. Rev. D , 1999, 60: 024001 doi: 10.1103/PhysRevD.60.024001
|
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