Abstract
The work deals with the thermodynamics of the universe bounded by the event horizon. The matter in the universe has three constituents namely dark energy, dark matter and radiation in nature and interaction between then is assumed. The variation of entropy of the surface of the horizon is obtained from unified first law while matter entropy variation is calculated from the Gibbss’ law. Finally, validity of the generalized second law of thermodynamics is examined and conclusions are written point wise.
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Riess A.G. et al.: Astro. Phys J. 607, 665 (2004)
Bennett C.L. et al.: Astrophys. J. Suppl. 148, 1 (2003)
Tegmark M. et al.: [SDSS Collaboration]. Phys. Rev. D 69, 103501 (2004)
Allen S.W. et al.: Mon. Not. Roy. Astron. Soc. 353, 457 (2004)
Steinhardt P.J.: Critical Problems in Physics. Princeton University Press, Princeton (1997)
Sola J., Stefancic H.: Phys. Lett. B 624, 147 (2005)
Sola J., Stefancic H.: Mod. Phys. Lett. A 21, 479 (2006)
Shapiro I.L., Sola J.: Phys. Lett. B 682, 105 (2009)
Ratra B., Peebles P.J.E.: Phys. Rev. D 37, 3406 (1988)
Wetterich C.: Nucl. Phys. B 302, 668 (1988)
Liddle A.R., Scherrer R.J.: Phys. Rev. D 59, 023509 (1999)
Zlatev I., Wang L.M., Steinhardt P.J.: Phys. Rev. Lett. 82, 896 (1999)
Guo Z.K., Ohta N., Zhang Y.Z.: Mod. Phys. Lett. A 22, 883 (2007)
Dutta S., Saridakis E.N., Scherrer R.J.: Phys. Rev. D 79, 103005 (2009)
Caldwell R.R.: Phys. Lett. B 545, 23 (2002)
Caldwell R.R., Kamionkowski M., Weinberg N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Nojiri S., Odintsov S.D.: Phys. Lett. B 562, 147 (2003)
Onemli V.K., Woodard R.P.: Phys. Rev. D 70, 107301 (2004)
Setare M.R., Sadeghi J., Amani A.R.: Phys. Lett. B 666, 288 (2008)
Setare M.R., Saridakis E.N.: JCAP 0903, 002 (2009)
Saridakis E.N.: Nucl. Phys. B 819, 6 116 (2009)
Feng B., Wang X.L., Zhang X.M.: Phys. Lett. B 607, 35 (2005)
Guo Z.K. et al.: Phys. Lett. B 608, 177 (2005)
Li M.-Z., Feng B., Zhang X.-M.: JCAP 0512, 002 (2005)
Feng B., Li M., Piao Y.-S., Zhang X.: Phys. Lett. B 634, 101 (2006)
Setare M.R.: Phys. Lett. B 641, 130 (2006)
Zhao W., Zhang Y.: Phys. Rev. D 73, 123509 (2006)
Setare M.R., Sadeghi J., Amani A.R.: Phys. Lett. B 660, 299 (2008)
Setare M.R., Saridakis E.N.: Phys. Lett. B 66(8), 177 (2008)
Setare M.R., Saridakis E.N.: JCAP 0809, 026 (2008)
Setare M.R., Saridakis E.N.: Int. J. Mod. Phys. D 18, 549 (2009)
Cai, Y.-F., Saridakis, E.N., Setare, M.R., Xia, J.-Q.: arXiv:0909.2776[hep-th] (2010)
Hsu S.D.H.: Phys. Lett. B 594, 13 (2004)
Li M.: Phys. Lett. B 603, 1 (2004)
Huang Q.G., Li M.: JCAP 08, 013 (2004)
Ito M.: Europhys. Lett. 71, 712 (2005)
Zhang X., Wu F.Q.: Phys. Rev. D 72, 043524 (2005)
Pavon D., Zimdahl W.: Phys. Lett. B 628, 206 (2005)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D. 81, 023007 (2010) 023007-5
Nojiri S., Odintsov S.D.: Relativ. Gravit. 38, 1285 (2006)
Elizalde E., Nojiri S., Odintsov S.D., Wang P.: Phys. Rev. D 71, 103504 (2005)
Li H., Guo Z.K., Zhang Y.Z.: IJMPD 15, 869 (2006)
Saridakis E.N.: Phys. Lett. B 660, 138 (2008)
Saridakis E.N.: JCAP 04, 020 (2008)
Saridakis E.N.: Phys. Lett. B 661, 335 (2008)
Horava P.: Phys. Rev. D 79, 084008 (2009)
Calcagni, G.: arXiv:0904.0829[hep-th]
Kiritsis E., Kofinas G.: Nucl. Phys. B 821, 467 (2009)
Lu, H., Mei, J., Pope, C.N.: arXiv:0904.1595[hep-th] (2009)
Charmousis, C., Niz, G., Padilla, A., Saffin, P.M.: arXiv:0905.2579[hep-th] (2009)
Saridakis, E.N.: arXiv:0905.3532[hep-th] (2009)
Gao, X., Wang, Y., Brandenberger, R., Riotto, A.: arXiv:0905.3821[hep-th] (2009)
Park, M.i.: arXiv:0905.4480[hep-th] (2009)
Cai, Y.F., Saridakis, E.N.: arXiv:0906.1789[hep-th]
Botta-Cantcheff, M., Grandi, N., Sturla, M.: arXiv:0906.0582[hep-th]
Setare, M.R.: arXiv:0909.0456[hep-th]
Germani C., Kehagias A., Sfetsos K.: JHEP 0909, 060 (2009)
Leon G., Saridakis E.N.: JCAP 0911, 006 (2009)
Jamil, M., Saridakis, E.N., Setare, M.R.: arXiv:1003.0876[gr-qc]
Bekenstein J.D.: Phys. Rev. D 7, 2333 (1973)
Setare M.R.: JCAP 01, 023 (2007)
Jamil M., Saridakis Emmanuel N., Setare M.R.: Phys. Rev. D 81, 023007 (2010)
Chakraborty, S., Biswas, R., Mazumder, N.: arXiv:1006.1169 [gr-qc]
Davis P.C.W.: Class. Quantum Grav. 5, 1349 (1998)
Chakraborty, S., Biswas, R., Mazumder, N.: arXiv:1006.0881 [gr-qc]
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Mazumder, N., Biswas, R. & Chakraborty, S. Interacting three fluid system and thermodynamics of the universe bounded by the event horizon. Gen Relativ Gravit 43, 1337–1345 (2011). https://doi.org/10.1007/s10714-010-1116-z
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DOI: https://doi.org/10.1007/s10714-010-1116-z