Abstract
We investigate the validity of the generalized second law of gravitational thermodynamics in a non-flat FRW universe containing the interacting generalized Chaplygin gas with the baryonic matter. The boundary of the universe is assumed to be enclosed by the dynamical apparent horizon. We show that for the interacting generalized Chaplygin gas as a unified candidate for dark matter and dark energy, the equation of state parameter can cross the phantom divide. We also present that for the selected model under thermal equilibrium with the Hawking radiation, the generalized second law is always satisfied throughout the history of the universe for any spatial curvature, independently of the equation of state of the interacting generalized Chaplygin gas model.
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Akbar, M., Cai, R.-G.: Phys. Rev. D 75, 084003 (2007)
Alcaniz, J.S., Jain, D., Dev, A.: Phys. Rev. D 67, 043514 (2003)
Amendola, L.: Phys. Rev. D 60, 043501 (1999)
Amendola, L.: Phys. Rev. D 62, 043511 (2000)
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
Bennett, C.L., et al.: Astrophys. J. Suppl. 148, 1 (2003)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Lett. B 575, 172 (2003a)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 67, 063003 (2003b)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 70, 083519 (2004)
Bento, M.C., Bertolami, O., Santos, N.M.C., Sen, A.A.: Phys. Rev. D 71, 063501 (2005)
Bertolami, O., Sen, A.A., Sen, S., Silva, P.T.: Mon. Not. R. Astron. Soc. 353, 329 (2004)
Bertolami, O., Gil Pedro, F., Le Delliou, M.: Phys. Lett. B 654, 165 (2007)
Bilic, N., Tupper, G.B., Viollier, R.D.: Phys. Lett. B 535, 17 (2002)
Bilic, N., Tupper, G.B., Viollier, R.D.: J. Phys. A, Math. Theor. 40, 6877 (2007)
Cai, R.-G., Kim, S.P.: J. High Energy Phys. 02, 050 (2005)
Cai, R.-G., Cao, L.-M., Hu, Y.-P.: Class. Quantum Gravity 26, 155018 (2009)
Caldera-Cabral, G., Maartens, R., Ureña-López, L.A.: Phys. Rev. D 79, 063518 (2009)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)
Das, S., Majumdar, P., Bhaduri, R.K.: Class. Quantum Gravity 19, 2355 (2002)
de Bernardis, P., et al.: Nature 404, 955 (2000)
García-Compeán, H., García-Jiménez, G., Obregón, O., Ramírez, C.: J. Cosmol. Astropart. Phys. 07, 016 (2008)
Gong, Y., Wang, B., Wang, A.: J. Cosmol. Astropart. Phys. 01, 024 (2007a)
Gong, Y., Wang, B., Wang, A.: Phys. Rev. D 75, 123516 (2007b)
Guendelman, E.I., Kaganovich, A.B.: J. Phys. A, Math. Theor. 41, 164053 (2008)
Guo, Z.K., Ohta, N., Tsujikawa, S.: Phys. Rev. D 76, 023508 (2007)
Hagiwara, K., et al.: Phys. Rev. D 66, 010001 (2002)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 08, 013 (2004)
Izquierdo, G., Pavón, D.: Phys. Lett. B 633, 420 (2006a)
Izquierdo, G., Pavón, D.: Phys. Lett. B 639, 1 (2006b)
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 487, 7 (2000)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)
Karami, K.: Preprint (2010a). arXiv:1002.0431
Karami, K.: J. Cosmol. Astropart. Phys. 01, 015 (2010b)
Karami, K., Ghaffari, S.: Phys. Lett. B 685, 115 (2010)
Karami, K., Ghaffari, S., Fehri, J.: Eur. Phys. J. C 64, 85 (2009)
Kim, H., Lee, H.W., Myung, Y.S.: Phys. Lett. B 632, 605 (2006)
Lima, J.A.S., Alcaniz, J.S.: Phys. Lett. B 600, 191 (2004)
Lu, J., Gui, Y., Xu, L.X.: Eur. Phys. J. C 63, 349 (2009)
Lu, J.B., Xu, L.X., Li, J.C., Liu, H.Y.: Mod. Phys. Lett. A 23, 25 (2008)
Maartens, R.: Preprint (1996). arXiv:astro-ph/9609119
Mohseni Sadjadi, H.: Phys. Lett. B 645, 108 (2007)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Pavón, D., Wang, B.: Gen. Relativ. Gravit. 41, 1 (2009)
Pavón, D., Zimdahl, W.: Phys. Lett. B 628, 206 (2005)
Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Perlmutter, S., et al.: Astrophys. J. 598, 102 (2003)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Santos, F.C., Bedran, M.L., Soares, V.: Phys. Lett. B 636, 86 (2006)
Seljak, U., Slosar, A., McDonald, P.: J. Cosmol. Astropart. Phys. 10, 014 (2006)
Sheykhi, A.: J. Cosmol. Astropart. Phys. 05, 019 (2009)
Sheykhi, A., Wang, B.: Phys. Lett. B 678, 434 (2009)
Sheykhi, A., Wang, B.: Mod. Phys. Lett. A 25, 1199 (2010)
Spergel, D.N.: Astrophys. J. Suppl. 148, 175 (2003)
Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)
Szydlowski, M.: Phys. Lett. B 632, 1 (2006)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Tsujikawa, S.: Phys. Rev. D 73, 103504 (2006)
Tsujikawa, S., Sami, M.: Phys. Lett. B 603, 113 (2004)
Wang, B., Gong, Y., Abdalla, E.: Phys. Lett. B 624, 141 (2005)
Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006)
Wang, B., Lin, C.Y., Pavón, D., Abdalla, E.: Phys. Lett. B 662, 1 (2008)
Wu, P., Yu, H.: Astrophys. J. 658, 663 (2007)
Zhang, X., Wu, F.-Q., Zhang, J.: J. Cosmol. Astropart. Phys. 01, 003 (2006)
Zhou, J., Wang, B., Gong, Y., Abdalla, E.: Phys. Lett. B 652, 86 (2007)
Zhou, J., Wang, B., Pavón, D., Abdalla, E.: Mod. Phys. Lett. A 24, 1689 (2009)
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Karami, K., Ghaffari, S. & Soltanzadeh, M.M. The generalized second law for the interacting generalized Chaplygin gas model in non-flat universe enclosed by the apparent horizon. Astrophys Space Sci 331, 309–314 (2011). https://doi.org/10.1007/s10509-010-0434-7
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DOI: https://doi.org/10.1007/s10509-010-0434-7