| Original Articles |
|
|
|
|
Tunnelling Effect of Two Horizons from a Gibbons--Maeda Black Hole |
| REN Jun |
| School of Science, Hebei University of Technology, Tianjin 300130 |
|
| Cite this article: |
|
REN Jun 2008 Chin. Phys. Lett. 25 1579-1582 |
|
|
|
|
Abstract We study the thermal characters of the inner horizon of a Gibbons--Maeda black hole. In order to satisfy the Nernst theorem of the third law, the entropy of the black hole with two horizons must depend not only on the area of the outer horizon but also on the area of the inner horizon. Then the temperature of the inner horizon is calculated. Lastly, the tunnelling effect including the inner horizon of a Gibbons--Maeda black hole is investigated. We also calculate the tunnelling rate of the outer horizon Γ+ and the inner horizon Γ-. The total tunnelling rate Γ should be the product of the rates of the outer and inner horizon, Γ=Γ+.Γ-. It is found that the total tunnelling rate is in agreement with the Parikh's standard result, Γ→exp(∆SBH), and there is no information loss.
|
| Keywords:
04.70.Dy
04.70.-s
|
|
|
Received: 08 January 2008
Published: 29 April 2008
|
|
| PACS: |
04.70.Dy
|
(Quantum aspects of black holes, evaporation, thermodynamics)
|
| |
04.70.-s
|
(Physics of black holes)
|
|
|
|
|
|
[1] Bekenstein J D 1973 Phys. Rev. D 7 2333
[2]{Hawking Hawking S W 1975 Commun. Math. Phys. 43199
[3] Unruh W G and Wald R W 1982 Phys. Rev. D 25942
[4] Frolov V P and Page D N 1993 Phys. Rev. Lett. 71 3902
[5] Wald R W 1994 Quantum Field Theory in CurvedSpace-Time and Black Hole Thermodynamics (Chicago: University of Chicago Press)
[6] Lee H, Kim S W and Kim W T 1996 Phys. Rev. D 54 6559
[7] Wald R W 1997 `The Nernst Theorem' and black holethermodynamics gr-qc/9704008
[8] Zhao Z 1999 Int. J. Theor. Phys. 38 1539
[9] Damour T and Ruffini R 1976 Phys. Rev. D 14332
[10] Wald R W 1984 General Relativity (Chicago andLondon: University of Chicago) p 330
[11] Parikh M K 2004 A Secret Tunnel Through the Horizonhep-th/0405160
[12] Parikh M K 2004 Energy conservation and Hawkingradiation hep-th/0402166
[13] Parikh M K and Wilczek F 2000 Phys. Rev. Lett. 85 5042
[14] Hemming S and Keski-Vakkuri E 2001 Phys. Rev. D 64 044006
[15] Medved A J M 2002 Phys. Rev. D 66 124009
[16] Zhang J Y and Zhao Z 2005 J. High Energy Phys.issue 10 Article No 055
[17] Zhang J Y and Zhao Z 2005 Nucl. Phys. B 725173.
[18] Zhang J Y and Zhao Z 2006 Phys. Lett. B 638 110
[19] Zhang J Y and Fan J H 2007 Phys. Lett. B 648133
[20] Gibbons G W and Maeda K 1988 Nucl. Phys. B 298 741
[21] Zhao Z 1981 Acta Phys. Sin. 30 1508 (inChinese)
[22] Ren J 2007 Int. J. Theor. Phys. 46 3109 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
