Abstract
In this paper, we write modified Friedman-Robertson-Walkers (FRW) equation in the form of first law of thermodynamics at the apparent horizon. We consider the universe filled with the viscous fluid. Here we employ the general expression of temperature gravity and entropy at the apparent horizon of FRW universe and obtain the generalized first law of thermodynamics at the special condition for the modified FRW equation. The generalized first law of thermodynamics help us to arrange the α 1, α 2, β 1 and β 2 in modified Friedman-Robertson-Walkers equation.
Similar content being viewed by others
References
Hawking, S. W.: . Commun. Math. Phys. 43, 199 (1975)
Bekenstein, J. D.: . Phys. Rev. D 7, 2333 (1973)
Jacobson, T.: . Phys. Rev. Lett. 75, 1260 (1995)
Cai, R. G., Kim, S. P.: . JHEP 0502, 050 (2005)
Gibbons, G. W., Hawking, S. W.: . Phys. Rev. D15, 2738 (1977)
Akbar, M., Cai, R. G.: . Phys. Rev. D 75, 081003 (2007)
Eling, C., Guedens, R., Jocobson, T.: . Phys. Rev. Lett. 96, 121301 (2006)
Cai, R. G., Cao, L. M., Hu, Y. P.: . JHEP 0808, 090 (2008)
Akbar, M., Cai, R. G.: . Phys. Lett. B 648, 243 (2007)
Cai, R. G., Cao, L. M.: . Phys. Rev. D 75, 064008 (2007)
Akbar, M., Cai, R. G.: . Phys. Lett. B 635, 7 (2006)
Akbar, M.: . Chin. Phys. Lett. 25, 4199 (2008)
Cai, R. G., Cao, L. M.: . Nucl. Phys. B 785, 135 (2007)
Sheykhi, A., Wang, B., Cai, R.G.: Nucl. Phys. B 779, 1 (2007) arXiv:hep-th/0701198
Sheykhi, A., Wang, B., Cai, R. G.: . Phys. Rev. D 76, 023515 (2007)
Cai, R. G.: . Prog. Theor. Phys. Suppl. 172, 100 (2008)
Gong, Y., Wang, A.: . Phys. Rev. Lett. 99, 211301 (2007)
Kotawala, D., Sarkar, S., Padamaabhan, T.: . Phys. Lett. B 652, 338 (2007)
Paranjape, A., Sarkar, S., Padamanabhan, T.: . Phys. Rev. D 74, 104015 (2006)
Padamanabhan, T.: . Phys. Rept. 406, 49 (2005)
Misner, C.W.: . Astrophys. J. 151, 431 (1968)
Saadat, H., Pourhassan, B.: Effect of varying bulk viscosity on generalized chaplygin gas. Int. J. Theor. Phys. (2013)
Weinberg, S.: Gravitation and Cosmology. Wiley (1972)
Davies, P. C. W.: . Nucl. Phys. B 310, 743 (1988)
Lima, J. A. S., Portugal, R., Waga, I.: . Phys. Rev. D 37, 2755 (1988)
Zimdhal, W.: . Phys. Rev. D 53, 5483 (1996)
Saadat, H.: . Int. J. Theor. Phys. 52, 1696 (2013)
Motevalli, S. M., Sadeghi, J., Mohammadi, B. H.: . Int. J. Theor. Phys. 52, 1399 (2013)
Nozari, K., Behrouz, N., Sheykhi, A.: . Int. J. Theor. Phys. 52, 2351 (2013)
Saadat, H., Pourhassan, B.: . Int. J. Theor. Phys. 52, 3712 (2013)
Mishra, R. K., Pradhan, A., Chawla, C.: . Int. J. Theor. Phys. 52, 2546 (2013)
Saadat, H.: . Int. J. Theor. Phys. 52, 3902 (2013)
Brevik, I.: Phys. Rev. D 65, 127302 (2002); Ben, J., Meng, X. H.
Brevik, I.: Quantum cosmology research trends 165, arXiv:gr-qc/0404095
Koivisto, T. S., Mota, D. F., Zumalacarregui, M.: . J. Cosmol. Astropart. Phys. 02, 027 (2011)
Easson, D. A., Frampton, P. H., Smoot, G. F.: . Phys. Lett. B 696, 273 (2011)
Easson, D. A., Frampton, P. H., Smoot, G. F.: . Int. J. Mod. Phys. A 27, 1250066 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sadeghi, J., Naji, J., Vaez, H. et al. Viscous Cosmology and Thermodynamics of Apparent Horizon in Modified Friedman-Robertson-Walkers Universe. Int J Theor Phys 53, 3089–3094 (2014). https://doi.org/10.1007/s10773-014-2104-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2104-y