Abstract
We study the generalized second law of thermodynamics in the presence of non-interacting magnetic field and new modified Chaplygin gas with FRW universe. In this scenario, we investigate the validity of this law on Hubble, apparent, particle and event horizons. It is found that this law is respected on all horizons for specific values of the model parameters except on the event horizon where it does not hold for short time but remains valid otherwise. Finally, we explore the statefinders and Om diagnostic to check the viability of the present cosmological model.
Similar content being viewed by others
References
Perlmutter, S., Gabi, S., Goldhaber, G., Goobar, A., Groom, D.E., Hook, I.M., Kim, A.G., Kim, M.Y., Lee, G.C., Pain, R., Pennypacker, C.R., Small, I.A., Ellis, R.S., McMahon, R.G., Boyle, B.J., Bunclark, P.S., Carter, D., Irwin, M.J., Glazebrook, K., Newberg, H.J.M., Filippenko, A.V., Matheson, T., Dopita, M., Couch, W.C.: Astrophys. J. 483, 565 (1997)
Perlmutter, S., Aldering, G., Valle, M.D., Deustua, S., Ellis, R.S., Fabbro, S., Fruchter, A., Goldhaber, G., Goobar, A., Groom, D.E., Hook, I.M., Kim, A.G., Kim, M.Y., Knop, R.A., Lidman, C., McMahon, R.G., Nugent, P., Pain, R., Panagia, N., Pennypacker, C.R., Ruiz-Lapuente, P., Schaefer, B., Walton, N.: Nature 391, 51 (1998)
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R.A., Nugent, P., Castro, P.G., Deustua, S., Fabbro, S., Goobar, A., Groom, D.E., Hook, I.M., Kim, A.G., Kim, M.Y., Lee, J.C., Nunes, N.J., Pain, R., Pennypacker, C.R., Quimbey, R., Lidman, C., Ellis, R.S., Irwin, M., Mcmahon, R.G., Ruiz-lapuente, P., Walton, N., Schaefer, B., Boyle, B.J., Filippenko, A.V., Matheson, T., Fruchter, A.S., Panagia, N., Newberg, H.J.M., Couch, W.J.: Astrophys. J. 517, 565 (1999)
Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
A. Sen.: J. High Energy Phys. 48, 204 (2002)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147;ibid (2003)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 565, 1 (2003)
Padmanabhan, T.: Gen. Relativ. Gravit. 40, 529 (2008)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)
Gao, C., Wu, F., Chen, X., Shen, Y.G.: Phys. Rev. D 79 (043511)
Zimdahl, W., Fabris, J.C.: Class. Quantum Grav. 22, 4311 (2005)
Bazeia, D.: Phys. Rev. D 59, 085007 (1999)
Bilic, N., Tupper, G.B., Viollier, R.D.: Phys. Lett. B 535 (17)
Debnath, U., Banerjee, A., Chakraborty, S.: Class. Quantum Grav. 21, 5609 (2004)
Zhang, X., Wu, F.Q., Zhang, J.: J. Cosmol. Astropart. Phys. 01, 003 (2006)
Guo, Z.K., Zhang, Y.Z.: Phys. Lett. B 645, 326 (2007)
Hawking, S., Penrose, R.: Proc. R. Soc. London A 314, 529 (1970)
Horne, J.H., Horowitz, G.T.: Nucl. Phys. B 368, 444 (1992)
Cvetic, M.: Phys. Rev. Lett. 71, 815 (1993)
Tseytlin, A.A.: Phys. Lett. B 363, 223 (1995)
Narlikar, J.V., Padmanabhan, T.: Phys. Rev. D 32, 1928 (1985)
Mukhanov, V., Brandenberger, R.: Phys. Rev. Lett. 68, 1969 (1992)
Brandenberger, R., Mukhanov, V., Sornborger, A.: Phys. Rev. D. 48, 1629 (1993)
de Sitter, W.: Proc. K. Ned. Akad. Wet. 19, 1217 (1917)
Novello, M., Salim, J.M.: Phys. Rev. D 20, 377 (1979)
Berej, W., Matyjasek, J.: Phys. Rev. D 66, 024–022 (2002)
Salim, J.M., de Olivera, H.P.: Acta Phys. Pol. B 19, 649 (1988)
Born, M., Infeld, L.: Proc. Royal Soc. London A 144, 425 (1934)
De Lorenci, V.A., Klippert, R., Novello, M., Salim, J.M.: Phys. Rev. D. 65, 063501 (2002)
Novello, M., Araujo, A.N., Salim, J.M.: Int. J. Mod. Phys. A 24, 5639 (2009)
Novello, M., Bergliaffa, P.S.E., Salim, J.M.: Phys. Rev. D 69, 127301 (2004)
Novello, M., Goulart, E., Salim, J.M.: Class. Quantum Grav. 24, 3021 (2007)
Sami, M., Singh, P., Tsujikawa, S.: Phys. Rev. D 74, 043514 (2006)
Garcia-Salcedo, R., Breton, N.: Class. Quantum Grav. 22, 4783 (2005)
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
Bandyopadhyay, T., Debnath, U.: Phys. Lett. B 704, 95 (2011)
Sharif, M., Saleem, R.: Astrophys. Space Sci. 346, 373 (2013)
Sharif, M., Saleem, R.: J. Phys. Soc. Jpn. 82, 064006 (2013)
Vollick, D.N.: Phys. Rev. D. 78, 063524 (2008)
Hindmarsh, M., Everett, A.: Phys. Rev. D 58, 103–505 (1998)
Chattopadhyay, S., Debnath, U.: Gravit. Cosmol. 14, 341 (2008)
Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D. 9, 373 (2000)
Sahni, V.: Class. Quantum Grav. 19, 3435 (2002)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Sahni, V., Shafieloo, A., Starobinsky, A.A.: Phys. Rev. D. 78, 103502 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharif, M., Saleem, R. Thermodynamics of New Modified Chaplygin Gas in Magnetic FRW Universe. Int J Theor Phys 53, 3794–3807 (2014). https://doi.org/10.1007/s10773-014-2133-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2133-6