摘要Relations between the tunneling rate and the unified first law of thermodynamics at the apparent horizon of the FRW universe are investigated. The tunneling rate arises as a consequence of the unified first law of thermodynamics in such a dynamical system. Analysis shows how the tunneling is intimately connected with the unified first law of thermodynamics through the principle of conservation of energy.
Abstract：Relations between the tunneling rate and the unified first law of thermodynamics at the apparent horizon of the FRW universe are investigated. The tunneling rate arises as a consequence of the unified first law of thermodynamics in such a dynamical system. Analysis shows how the tunneling is intimately connected with the unified first law of thermodynamics through the principle of conservation of energy.
JIANG Ke-Xia;KE San-Min;PENG Dan-Tao;FENG Jun. Hawking radiation as tunneling and the unified first law of thermodynamics at the apparent horizon of the FRW universe[J]. 中国物理快报, 2009, 26(7): 70401-070401.
JIANG Ke-Xia, KE San-Min, PENG Dan-Tao, FENG Jun. Hawking radiation as tunneling and the unified first law of thermodynamics at the apparent horizon of the FRW universe. Chin. Phys. Lett., 2009, 26(7): 70401-070401.
[1] Hawking S W 1974 Nature 30 248 Hawking S W 1975 Commun. Math. Phys. 43 199 [2] Hartle J B and Hawking S W 1976 Phys. Rev. D 13 2188 Gibbons G W and Hawking S W 1977 Phys. Rev. D 152752 Christensen S M and Fulling S A 1977 Phys. Rev. D 15 2088 [3] Kraus P and Wilczek F 1995 Nucl. Phys. B 437231 Kraus P and Wilczek F 1995 Nucl. Phys. B 433 403 [4] Parikh M K and Wilczek F 2000 Phys. Rev. Lett. 85 5042 Parikh M K Preprint hep-th/0402166 [5] Angheben M, Nadalini M, Vanzo L and Zerbini S 2005 J.High Energy Phys. 0505 014 [6] Srinivasan K and Padmanabhan T 1999 Phys. Rev. D 60 24007 Shankaranarayanan S, Srinivasan K and Padmanabhan T 2001 Mod. Phys. Lett. A 16 571 Shankaranarayanan S, Padmanabhan T and Srinivasan K 2002 Class. Quantum Grav. 19 2671 [7]Vagenas E C 2002 Phys. Lett. B 533 302 Medved A J M and Vagenas E C 2005 Mod. Phys. Lett. A 20 2449 Arzano M, Medved A J M and Vagenas E C 2005 J. HighEnergy Phys. 0509 037 Jiang Q Q, Wu S Q and Cai X 2006 Phys. Rev. D 73064003 Hu Y, Zhang J and Zhao Z 2006 Mod. Phys. Lett. A 21 2143 Hu Y, Zhang J and Zhao Z 2007 Int. J. Mod. Phys. D 16 847 Xu Z and Chen B 2007 Phys. Rev. D 75 024041 Wu X and Gao S 2007 Phys. Rev. D 75 044027 Liu C Z and Zhu J Y 2008 Gen. Relat. Grav. 401899 Zhao L 2007 Commun. Theor. Phys. 47 835 Kerner R and Mann R B 2007 Phys. Rev. D 75 084022 Chatterjee B, Ghosh A and Mitra P 2008 Phys. Lett. B 661 307 Ren J R, Li R and Liu F H 2009 Mod. Phys. Lett. A 23 3419 Ren J 2008 Chin. Phys. Lett. 25 1579 He X K and Liu W B 2007 Chin. Phys. Lett. 24 2448 [8] Hu Y, Zhang J and Zhao Z Preprint gr-qc/0601018 [9] Sarkar S and Kothawala D 2008 Phys. Lett. B 659 683 [10] Pilling T 2008 Phys. Lett. B 660 402 [11] Zhang B, Cai Q Y and Zhan M S 2008 Phys. Lett. B 665 260 [12] Hayward S A, Criscienzo R Di, Vanzo L, Nadalini M andZerbini S Preprint gr-qc/0806.0014 [13] Cai R G and Kim S P 2005 J. High Energy Phys. 0502 050 Akbar M and Cai R G 2006 Phys. Lett. B 635 7 Frolov A V and Kofman L 2003 J. Cosmol. Astropart.Phys. 0305 009 Danielsson U K 2005 Phys. Rev. D 71 023516 Bousso R 2005 Phys. Rev. D 71 064024 Calcagni G 2005 J. High Energy Phys. 0509 060 Akbar M and Cai R G 2007 Phys. Rev. D 75 084003 Akbar M and Cai R G 2007 Phys. Lett. B 648 243 Gong Y G and Wang A Z 2007 Phys. Rev. Lett. 99200301 [14] Cai R G, Cao L M and Hu Y P Preprinthep-th/0809.1554 [15] Kodama H 1980 Prog. Theor. Phys. 63 1217 Minamitsuji M and Sasaki M 2004 Phys. Rev. D 70044021 Racz I 2006 Class. Quant. Grav. 23 115 [16] Hayward S A 1994 Phys. Rev. D 49 6467 Hayward S A 1996 Phys. Rev. D 53 1938 Hayward S A 1998 Class. Quantum Grav. 15 3147 Hayward S A, Mukohyama S and Ashworth M C 1999 Phys.Lett. A 256 347 Ashworth M C and Hayward S A 1999 Phys. Rev. D 60084004
2009, Vol. 26 
