Abstract
This study is emphasized to explore the validity of generalized second law of thermodynamics in the context of non-linear electrodynamics (magnetic effects only) with Brans-Dicke chameleon scalar field as dark energy candidate. For this purpose, we consider FRW universe model with perfect fluid matter contents. We evaluate matter energy density and magnetic field by taking interacting and non-interacting cases of magnetic field and matter as well as the power law ansatz for scalar field. The validity of this law is discussed by using the first law of thermodynamics for four different horizons: Hubble, apparent, particle and event horizons. We conclude that this law may hold for all four horizons with small positive red-shift when chameleon mechanism is taken into account in Brans-Dicke gravity. Finally, we investigate the statefinders in order to check the viability of the model.
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Akbar, M., Cai, R.G.: Phys. Lett. B 648, 243 (2007)
Ashtekar, A., Lowandowski, J.: Class. Quantum Gravity 21, R53 (2004)
Bakenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Bamba, K., Geng, C.Q.: Phys. Lett. B 679, 282 (2009)
Banerjee, N., Pavon, D.: Phys. Lett. B 647, 477 (2007)
Banerjee, N., Sen, S.: Phys. Rev. D 56, 1334 (1997)
Bandyopadhyay, T., Debnath, U.: Phys. Lett. B 704, 95 (2011)
Barrow, J.D., Nunes, N.J.: Phys. Rev. D 76, 043501 (2007)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Bertotti, B., Iess, L., Tortora, P.: Nature 425, 374 (2003)
Bisabr, Y.: Phys. Rev. D 86, 127503 (2012)
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Cai, R.G., Cao, L.M.: Nucl. Phys. B 785, 135 (2007)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Chattopadhyay, S., Debnath, U., Bhattacharya, S.: Int. J. Theor. Phys. 51, 3168 (2012)
Chimento, L.P.: Phys. Rev. D 69, 123517 (2004)
Das, S., Banarjee, N.: Phys. Rev. D 78, 043512 (2008)
De Lorenci, V.A., et al.: Phys. Rev. D 65, 063501 (2002)
Dehghani, M.H., Pakravan, J., Hendi, S.H.: Phys. Rev. D 74, 104014 (2006)
Dirac, P.A.M.: Proc. R. Soc. Lond. A 165, 199 (1938)
Farajollahi, H., et al.: Astrophys. Space Sci. 335, 629 (2011a)
Farajollahi, H., Salehi, A., Tayebi, F.: Can. J. Phys. 89, 915 (2011b)
Felice, A.D., et al.: Phys. Rev. D 74, 103005 (2006)
Feng, B., Wang, X.L., Zhang, X.: Phys. Lett. B 35, 607 (2005)
Flanagan, E.E.: Class. Quantum Gravity 21, 417 (2004)
Garcia-Salcedo, R., Breton, N.: Int. J. Mod. Phys. A 15, 4341 (2000)
Garcia-Salcedo, R., Gonzalez, T., Moreno, C., Quiros, I.:. arXiv:0905.1103 (2009)
Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 161 (1977)
Gong, Y., Wang, B., Wang, A.: Phys. Rev. D 75, 123516 (2007)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Hawking, S.W.: The Illustrated: A Brief History of Time. Bantam Books, New York (1996)
Hawking, S.W.: The Universe in a Nutshell. Bantam Books, New York (2001)
Hindmarsh, M., Everett, A.: Phys. Rev. 58, 103505 (1998)
Hu, M., Meng, X.H.: Phys. Lett. B 635, 186 (2006)
Huang, Z.G., et al.: Astrophys. Space Sci. 315, 175 (2008)
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Jamil, M., Hussain, I., Momeni, D.: Eur. Phys. J. Plus 126, 80 (2011)
Khoury, J., Weltman, A.: Phys. Rev. D 69, 044026 (2004a)
Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004b)
Lobo, F.S.N.: The dark side of gravity: modified theories of gravity. In: Dark Energy-Current Advances and Ideas. Invited chapter to appear in an edited (2008). arXiv:0807.1640
Mazumder, N., Chakraborty, S.: Astrophys. Space Sci. 332, 509 (2011)
Mota, D.F., Barrow, J.D.: Phys. Lett. B 141, 581 (2004)
Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)
Narlikar, J.V.: An Introduction to Cosmology. Cambridge University Press, Cambridge (2006)
Nishioka, T.: Class. Quantum Gravity 26, 242001 (2009)
Nordtvedt, K. Jr.: Astrophys. J. 161, 1059 (1970)
Novello, M.: Int. J. Mod. Phys. A 20, 2421 (2005)
Novello, M., Bergliaffa, S.E.P., Salim, J.: Phys. Rev. D 69, 127301 (2004)
Novello, M., Salim, J.M.: Phys. Rev. D 20, 377 (1977)
Novello, M., et al.: Int. J. Mod. Phys. A 1, 641 (1993)
Novello, M., Goulart, E., Salim, J.M.: Class. Quantum Gravity 24, 3021 (2007)
Novello, M., Olivieira, M.A.R., Salim, J.M.: Class. Quantum Gravity 13, 1089 (1996)
Perivolaropoulos, L.: Phys. Rev. D 81, 047501 (2010)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Romero, C., Barros, A.: Phys. Lett. A 173, 243 (1993)
Saaidi, Kh., Mohammadi, A., Sheikhahmadi, H.: Phys. Rev. D 83, 104019 (2011)
Sadjadi, H.M.: Phys. Lett. B 645, 108 (2007)
Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1985)
Sahni, V., et al.: JETP Lett. 77, 201 (2003)
Samarpita, B., Debnath, U.: Can. J. Phys. 89, 883 (2011)
Sen, S., Seshadri, T.R.: Int. J. Mod. Phys. D 12, 445 (2003)
Sharif, M., Saleem, R.: Thermodynamics in Non-linear Electrodynamics with. Anisotropic Universe Astrophys. Space Sci. 346, 373 (2013)
Sharif, M., Saleem, R.: Thermodynamics with Interacting dark energy in magnetic universe. J. Phys. Soc. Jpn. (2013b, to appear)
Sharif, M., Waheed, S.: Int. J. Mod. Phys. D 21, 1250082 (2012)
Sheykhi, A.: J. Cosmol. Astropart. Phys. 5, 019 (2009)
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Tegmark, M., et al.: Phys. Rev. D 69, 03501 (2004)
Thiemann, T.: Lect. Notes Phys. 631, 41 (2003)
Tolman, R.C., Ehrenfest, P.: Phys. Rev. 36, 1791 (1930)
Wang, A., Wu, Y.: J. Cosmol. Astropart. Phys. 7, 012 (2009)
Wei, H., Cai, R.G.: Phys. Lett. B 655, 1 (2007)
Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)
Zhang, X.: Int. J. Mod. Phys. D 14, 1597 (2005)
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Sharif, M., Waheed, S. Thermodynamics and cosmic expansion in magnetized chameleonic Brans-Dicke universe. Astrophys Space Sci 346, 583–597 (2013). https://doi.org/10.1007/s10509-013-1482-6
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DOI: https://doi.org/10.1007/s10509-013-1482-6