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Viscous Cosmology and Thermodynamics of Apparent Horizon |
| M. Akbar |
| Centre for Advanced Mathematics and Physics National University of Sciences and Technology, Peshawar Road, Rawalpindi, Pakistan |
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| Cite this article: |
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M. Akbar 2008 Chin. Phys. Lett. 25 4199-4202 |
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Abstract It is shown that the differential form of Friedmann equations of Friedman--Robertson--Walker (FRW) universe can be recast as a similar form of the first law ThdSh = dE + WdV of thermodynamics at the apparent horizon of FRW universe filled with the viscous fluid. It is also shown that by employing the general expression of temperature  associated with the apparent horizon of an FRW universe and assumed that the temperature Tm of the energy inside the apparent horizon is proportional to the horizon temperature Tm= bTh, we are able to show that the generalized second law of thermodynamics holds in the Einstein gravity provided Th-Tm/r~A ≤(ρ+P~).
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| Keywords:
04.70.Dy
97.60.Lf
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Received: 16 September 2008
Published: 27 November 2008
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| PACS: |
04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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97.60.Lf
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(Black holes)
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1] Cai R G and Kim S P 2005 JHEP 0502050
[arXiv:hep-th/0501055] 2] Gibbons G W and Hawking S W 1977 Phys. Rev. D{15 2738 3] Akbar M and Cai R G 2007 Phys. Rev. D 75081003 4] Eling C, Guedens R and Jacobson T 2006 Phys. Rev.Lett. 96 121301 5] Cai R G, Cao L M and Hu Y P hep-th/0807.1232 6] Akbar M and Cai R G 2007 Phys. Lett. B 648 243 7] Cai R G and L. M. Cao 2007 Phys. Rev. D 75064008 8] Akbar M and Cai R G 2006 Phys. Lett. B 635 7 Akbar M and Cai R G 2006
[arXiv:hep-th/0602156] 9] Cai R G and Cao L M hep-th/0612144 10] Sheykhi A, Wang B and Cai R G 2007 Nucl. Phys. B779 1
[hep-th/0701198] 11] Sheykhi A, Wang B and Cai R G hep-th/0701261 12] Cai R G hep-th/0712.2142 13] Gong Y and Wang A hep-th/0704.0793 14] Barrow J D 1988 Nucl. Phys. B 310 743 15] Giovannini M 1999 Phys. Rev. D 59 121301 16] Zimdahl W and Pavon D 2000 Phys. Rev. D 61108301 17] Misner C W 1968 Astrophys. J. 151 431 18] Kothawala D, Sarkar S and Padmanabhan TarXiv:gr-qc/0701002 19] Padmanabhan T 2002 Class. Quant. Grav. 195387
[arXiv: gr-qc/0204019] Padmanabhan T 2005 Phys. Rep. 406 49
[arXiv:gr-qc/0311036] 20] Paranjape A, Sarkar S and Padmanabhan T 2006 Phys.Rev. D 74 104015
[arXiv:hep-th/0607240] 21] Brevik I 2004 gr-qc/0404095 22] Zimdahl W 1996 Phys. Rev. D 53 5483 23] Akbar M and Cai R G 2007 Phys. Rev. D 75084003 Akbar M and Cai R G 2006 Phys. Lett. B 635 7
[hep-th/0602156] Akbar M and Cai R G 2007 Phys. Lett. B 648 243
[gr-qc/0612089] Frolov A V and Kofman L 2003 J. Comput. Anal.Appl. 0305 009 Bousso R 2005 Phys. Rev. D 71 064024
[arXiv:hep-th/0412197] 24] Hayward S A, Mukohyana S and Ashworth M C 1999 Phys. Lett. A 256 347 Hayward S A 1998 Class. Quant. Grav. 15 3147 25] Misner C W and Sharp D H 1964 Phys. Rev. 136B571 26] Izquierdo G and Pavon D 2006 Phys. Lett. B 633 420 Izquierdo G and Pavon D 2006 Phys. Lett. B 6391 Setare M R 2007 JCAP 0701 023 Sadjadi H M 2007 Phys. Lett. B 645 108 Gong Y, Wang B and Wang A 2007 J. Comput. Anal.Appl. 0701 024 Zhou J, Wang B, Gong Y and Abdalla E gr-qc/0705.1264 27] Sadjadi H M 2007 Phys. Rev. D 76 104024 28] Wang B, Gong Y and Abdalla E 2006 Phys. Rev. D 74 083520 29] Izquierdo G and Pavon D 2006 Phys. Lett. B 633 420 |
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