The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories. (English) Zbl 1210.83038
Summary: 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.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83F05 | Relativistic cosmology |
| 83C57 | Black holes |
| 80A10 | Classical and relativistic thermodynamics |
References:
| [1] | Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995) · Zbl 1020.83609 · doi:10.1103/PhysRevLett.75.1260 |
| [2] | Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973) · Zbl 1369.83037 · doi:10.1103/PhysRevD.7.2333 |
| [3] | Padmanavan, T.: Class. Quantum Gravity 19, 5387 (2002) · Zbl 1011.83018 · doi:10.1088/0264-9381/19/21/306 |
| [4] | Cai, R.G., Kim, S.P.: J. High Energy Phys. 02, 050 (2005) |
| [5] | Perimutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999) · Zbl 1368.85002 · doi:10.1086/307221 |
| [6] | Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998) · doi:10.1086/300499 |
| [7] | Astier, P., et al. (The SNLS Collaboration): Astron. Astrophys. 447, 31 (2006) · doi:10.1051/0004-6361:20054185 |
| [8] | Riess, A.G., et al.: Astrophys. J. 659, 98 (2007) · doi:10.1086/510378 |
| [9] | Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003) · doi:10.1086/377226 |
| [10] | Peiris, H.V., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 213 (2003) · doi:10.1086/377228 |
| [11] | Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 170, 377 (2007) · doi:10.1086/513700 |
| [12] | Komatsu, E., et al., (WMAP Collaboration): arXiv:0803.0547 [astro-ph] |
| [13] | Sahi, V.: AIP Conf. Proc. 782, 166 (2005) [J. Phys. Conf. Ser. 31, 115 (2006)] · doi:10.1063/1.2032730 |
| [14] | Padmanavan, T.: Phys. Rep. 380, 235 (2002) · Zbl 1027.83544 · doi:10.1016/S0370-1573(03)00120-0 |
| [15] | Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006) · Zbl 1203.83061 · doi:10.1142/S021827180600942X |
| [16] | Durrer, R., Marteens, R.: Gen. Relativ. Gravit. 40, 301 (2008) · Zbl 1137.83303 · doi:10.1007/s10714-007-0549-5 |
| [17] | Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) · Zbl 1112.83047 · doi:10.1142/S0219887807001928 |
| [18] | Nojiri, S., Odintsov, S.: arXiv:0801.4843 [astro-ph] |
| [19] | Nojiri, S., Odintsov, S.: arXiv:0807.0685 [hep-th ] |
| [20] | Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002) · Zbl 1062.83565 · doi:10.1142/S0218271802002025 |
| [21] | Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 68, 043528 (2004) |
| [22] | Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003) · doi:10.1103/PhysRevD.68.123512 |
| [23] | Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006) |
| [24] | Bamba, K., Geng, C.-Q.: arXiv:0901.1509 [hep-th] |
| [25] | Sadjadi, H.M.: Phys. Rev. D 76, 104024 (2007) · doi:10.1103/PhysRevD.76.123507 |
| [26] | Rovelli, C.: Phys. Rev. Lett. 77, 3288 (1996) · Zbl 0955.83506 · doi:10.1103/PhysRevLett.77.3288 |
| [27] | Ashtekar, A., Baez, J., Corichi, A., Krasnov, K.: Phys. Rev. Lett. 80, 904 (1998) · Zbl 0949.83024 · doi:10.1103/PhysRevLett.80.904 |
| [28] | Paul, R.K., Majumder, P.: Phys. Rev. Lett. 84, 5255 (2000) · doi:10.1103/PhysRevLett.84.5255 |
| [29] | Ghosh, A., Mitra, P.: Phys. Rev. D 71, 027502 (2005) · doi:10.1103/PhysRevD.71.027502 |
| [30] | Domagala, M., Lewandowski, J.: Class. Quantum Gravity 21, 5233 (2004) · Zbl 1062.83053 · doi:10.1088/0264-9381/21/22/014 |
| [31] | Meissner, K.A.: Class. Quantum Gravity 21, 5245 (2004) · Zbl 1062.83056 · doi:10.1088/0264-9381/21/22/015 |
| [32] | Hod, S.: Class. Quantum Gravity 21, L97 (2004) · Zbl 1061.83521 · doi:10.1088/0264-9381/21/14/L01 |
| [33] | Medved, A.J.M.: Class. Quantum Gravity 22, 133 (2005) · Zbl 1060.83522 · doi:10.1088/0264-9381/22/1/009 |
| [34] | Chatterjee, A., Mazumder, P.: arXiv:gr-qc/0303030 |
| [35] | Ashtekar, A., Pawlowski, T., Sing, P.: Phys. Rev. Lett. 96, 141301 (2006) · Zbl 1153.83417 · doi:10.1103/PhysRevLett.96.141301 |
| [36] | Ashtekar, A., Pawlowski, T., Sing, P.: Phys. Rev. D 74, 084003 (2006) · Zbl 1197.83047 · doi:10.1103/PhysRevD.74.084003 |
| [37] | Ashtekar, A., Pawlowski, T., Sing, P., Vandersloot, K.: Phys. Rev. D 75, 024035 (2007) · Zbl 1197.83048 · doi:10.1103/PhysRevD.75.024035 |
| [38] | Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006) |
| [39] | Li, M.: Phys. Lett. B 603, 01 (2004) · doi:10.1016/j.physletb.2004.10.014 |
| [40] | Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 0609, 011 (2006). arXiv:gr-qc/0606103 |
| [41] | Hu, B., Ling, Y.: Phys. Rev. D 73, 123510 (2006) |
| [42] | Ito, M.: Europhys. Lett. 71, 712 (2005) · doi:10.1209/epl/i2005-10151-x |
| [43] | Nojiri, S., Odintsov, S.: Gen. Relativ. Gravit. 38, 1285 (2006) · Zbl 1105.83021 · doi:10.1007/s10714-006-0301-6 |
| [44] | Saridakis, E.N.: Phys. Lett. B 660, 138 (2008) · doi:10.1016/j.physletb.2008.01.004 |
| [45] | Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 0408, 013 (2004) |
| [46] | Zhang, X.: IJMPD 14, 1597 (2005) · Zbl 1080.83568 · doi:10.1142/S0218271805007243 |
| [47] | Pavon, D., Zimdahl, W.: Phys. Lett. B 628, 206 (2005) · doi:10.1016/j.physletb.2005.08.134 |
| [48] | Kim, H., Lee, H.W., Myung, Y.S.: Phys. Lett. B 632, 605 (2006) · doi:10.1016/j.physletb.2005.11.043 |
| [49] | Hsu, S.D.: Phys. Lett. B 594, 01 (2004) · doi:10.1016/j.physletb.2004.05.020 |
| [50] | Horvat, R.: Phys. Rev. D 70, 087301 (2004) · doi:10.1103/PhysRevD.70.087301 |
| [51] | Cai, R.G., Cao, L.M., Hu, Y.P.: arXiv:0807.1232 [hep-th] |
| [52] | Bousso, R.S.: Phys. Rev. D 71, 064024 (2005) · doi:10.1103/PhysRevD.71.064024 |
| [53] | Izquierdo, G., Pavon, D.: Phys. Lett. B 633, 420 (2006) · Zbl 1247.83275 · doi:10.1016/j.physletb.2005.12.040 |
| [54] | Mazumder, N., Chakraborty, S.: Class. Quantum Gravity 26, 195016 (2009) · Zbl 1178.83072 · doi:10.1088/0264-9381/26/19/195016 |
| [55] | Mazumder, N., Chakraborty, S.: Gen. Relativ. Gravit. (2009). doi: 10.1007/s10714-009-0881-z |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
