Abstract
In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon. Here we consider homogeneous and isotropic model of the universe filled with perfect fluid in one case and in another case holographic model of the universe has been considered. In the third case the matter in the universe is taken in the form of non-interacting two fluid system as holographic dark energy and dust. Here we study the above cases in the Modified gravity, f(R) gravity.
Similar content being viewed by others
References
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Padmanavan, T.: Class. Quantum Gravity 19, 5387 (2002)
Cai, R.G., Kim, S.P.: J. High Energy Phys. 02, 050 (2005)
Perimutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999)
Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998)
Astier, P., et al. (The SNLS Collaboration): Astron. Astrophys. 447, 31 (2006)
Riess, A.G., et al.: Astrophys. J. 659, 98 (2007)
Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003)
Peiris, H.V., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 213 (2003)
Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 170, 377 (2007)
Komatsu, E., et al., (WMAP Collaboration): arXiv:0803.0547 [astro-ph]
Sahi, V.: AIP Conf. Proc. 782, 166 (2005) [J. Phys. Conf. Ser. 31, 115 (2006)]
Padmanavan, T.: Phys. Rep. 380, 235 (2002)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)
Durrer, R., Marteens, R.: Gen. Relativ. Gravit. 40, 301 (2008)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)
Nojiri, S., Odintsov, S.: arXiv:0801.4843 [astro-ph]
Nojiri, S., Odintsov, S.: arXiv:0807.0685 [hep-th ]
Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)
Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 68, 043528 (2004)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)
Bamba, K., Geng, C.-Q.: arXiv:0901.1509 [hep-th]
Sadjadi, H.M.: Phys. Rev. D 76, 104024 (2007)
Rovelli, C.: Phys. Rev. Lett. 77, 3288 (1996)
Ashtekar, A., Baez, J., Corichi, A., Krasnov, K.: Phys. Rev. Lett. 80, 904 (1998)
Paul, R.K., Majumder, P.: Phys. Rev. Lett. 84, 5255 (2000)
Ghosh, A., Mitra, P.: Phys. Rev. D 71, 027502 (2005)
Domagala, M., Lewandowski, J.: Class. Quantum Gravity 21, 5233 (2004)
Meissner, K.A.: Class. Quantum Gravity 21, 5245 (2004)
Hod, S.: Class. Quantum Gravity 21, L97 (2004)
Medved, A.J.M.: Class. Quantum Gravity 22, 133 (2005)
Chatterjee, A., Mazumder, P.: arXiv:gr-qc/0303030
Ashtekar, A., Pawlowski, T., Sing, P.: Phys. Rev. Lett. 96, 141301 (2006)
Ashtekar, A., Pawlowski, T., Sing, P.: Phys. Rev. D 74, 084003 (2006)
Ashtekar, A., Pawlowski, T., Sing, P., Vandersloot, K.: Phys. Rev. D 75, 024035 (2007)
Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006)
Li, M.: Phys. Lett. B 603, 01 (2004)
Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 0609, 011 (2006). arXiv:gr-qc/0606103
Hu, B., Ling, Y.: Phys. Rev. D 73, 123510 (2006)
Ito, M.: Europhys. Lett. 71, 712 (2005)
Nojiri, S., Odintsov, S.: Gen. Relativ. Gravit. 38, 1285 (2006)
Saridakis, E.N.: Phys. Lett. B 660, 138 (2008)
Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 0408, 013 (2004)
Zhang, X.: IJMPD 14, 1597 (2005)
Pavon, D., Zimdahl, W.: Phys. Lett. B 628, 206 (2005)
Kim, H., Lee, H.W., Myung, Y.S.: Phys. Lett. B 632, 605 (2006)
Hsu, S.D.: Phys. Lett. B 594, 01 (2004)
Horvat, R.: Phys. Rev. D 70, 087301 (2004)
Cai, R.G., Cao, L.M., Hu, Y.P.: arXiv:0807.1232 [hep-th]
Bousso, R.S.: Phys. Rev. D 71, 064024 (2005)
Izquierdo, G., Pavon, D.: Phys. Lett. B 633, 420 (2006)
Mazumder, N., Chakraborty, S.: Class. Quantum Gravity 26, 195016 (2009)
Mazumder, N., Chakraborty, S.: Gen. Relativ. Gravit. (2009). doi:10.1007/s10714-009-0881-z
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mazumder, N., Chakraborty, S. The Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon and Modified Gravity Theories. Int J Theor Phys 50, 251–259 (2011). https://doi.org/10.1007/s10773-010-0517-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-010-0517-9