Abstract
We consider inhomogeneous viscous fluids in flat Friedmann-Robertson-Walker universe. We analyze different kinds of such fluids and investigate the possibility to reproduce the current cosmic acceleration providing a different future evolution with respect to the Cosmological Constant case. In particular, we study the presence of finite-future time singularities. We also discuss a general class of “integrable” viscous fluid models whose bulk viscosities obey to a common differential equation.
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Ablowitz, M.J., Clarkson, P.A.: In: London Mathematical Society Lecture Note Series, vol. 149. Cambridge University Press, Cambridge (1991)
Aref’eva, I.Y., Koshelev, A.S., Vernov, S.Y.: Phys. Rev. D 72, 064017 (2005)
Astashenok, A.V., Nojiri, S., Odintsov, S.D., Yurov, A.V.: Phys. Lett. B 709, 396 (2012)
Astier, P., Guy, J., Regnault, N., Pain, R., Aubourg, E., Balam, D., Basa, S., Carlberg, R.G., Fabbro, S., Fouchez, D., et al.: Astron. Astrophys. 447, 31–48 (2006)
Babichev, E., Dokuchaev, V., Eroshenko, Yu.: Class. Quantum Gravity 22, 143 (2005)
Bamba, K., Jamil, M., Momeni, D., Myrzakulov, R.: Int. J. Mod. Phys. D 21, 1250065 (2012)
Barboza, E.M., Lemos, N.A.: Gen. Relativ. Gravit. 38, 1609 (2006)
Barrow, J.D.: Phys. Lett. B 180, 335 (1986)
Barrow, J.D.: Nucl. Phys. B 310, 743 (1988)
Barrow, J.D.: Phys. Lett. B 235, 40 (1990a)
Barrow, J.D.: In: The formation and evolution of cosmic strings, pp. 449–462. Cambridge University Press, Cambridge (1990b)
Barrow, J.D.: Class. Quantum Gravity 21, L79 (2004)
Barrow, J.D., Galloway, G.J., Tipler, F.J.: Mon. Not. R. Astron. Soc. 223, 835–844 (1986)
Biswas, T., Koivisto, T., Mazumdar, A.: J. Cosmol. Astropart. Phys. 1011, 008 (2010)
Biswas, T., Gerwick, E., Koivisto, T., Mazumdar, A.: Phys. Rev. Lett. 108, 031101 (2012)
Brevik, I.H., Gorbunova, O.: Gen. Relativ. Gravit. 37, 2039–2045 (2005)
Brevik, I., Odintsov, S.D.: Phys. Rev. D 65, 067302 (2002)
Brevik, I.H., Gorbunova, O., Shaido, Y.A.: Int. J. Mod. Phys. D 14, 1899 (2005)
Brevik, I., Nojiri, S., Odintsov, S.D., Saez-Gomez, D.: Eur. Phys. J. C 69, 563 (2010)
Brevik, I., Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 84, 103508 (2011)
Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Capozziello, S., De Laurentis, M.: Phys. Rep. 509, 167 (2011)
Capozziello, S., Faraoni, V.: Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics. Springer, Berlin (2010)
Capozziello, S., Cardone, V.F., Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 73, 043512 (2006)
Cardone, V.F., Tortora, C., Troisi, A., Capozziello, S.: Phys. Rev. D 73, 043508 (2006)
Chimento, L.P., Lazkoz, R.: Mod. Phys. Lett. A 19, 2479 (2004)
Clarkson, P.A.: In: NIST Handbook of Mathematical Functions. Cambridge University Press, Cambridge (2010)
Clifton, T., Ferreira, P.G., Padilla, A., Skordis, C.: Phys. Rep. 513, 1 (2012)
Csaki, C., Kaloper, N., Terning, J.: Ann. Geophys. 317, 410 (2005)
Dabrowski, M.P., Stachowiak, T.: Ann. Geophys. 321, 771 (2006)
De la Cruz-Dombriz, A., Saez-Gomez, D.: Entropy 14, 1717 (2012)
Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)
Faraoni, V.: Int. J. Mod. Phys. D 11, 471 (2002)
Frampton, P.H., Ludwick, K.J., Scherrer, R.J.: Phys. Rev. D 84, 063003 (2011)
Gonzalez-Diaz, P.F.: Phys. Lett. B 586, 1 (2004)
Hendi, S.H., Momeni, D.: Eur. Phys. J. C 71, 1823 (2011)
Jamil, M., Momeni, D., Raza, M., Myrzakulov, R.: Eur. Phys. J. C 72, 1999 (2012a)
Jamil, M., Yesmakhanova, K., Momeni, D., Myrzakulov, R.: Cent. Eur. J. Phys. 10, 1065 (2012b)
Jamil, M., Yesmakhanova, K., Momeni, D., Myrzakulov, R.: Cent. Eur. J. Phys. 10, 1065 (2012c)
Kamenshchik, A.Yu., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265–268 (2001)
Komatsu, E., Dunkley, J., Nolta, M.R., Bennett, C.L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., et al.: Astrophys. J. Suppl. Ser. 180, 330–376 (2009)
Majd, N., Momeni, D.: Int. J. Mod. Phys. E 20, 113 (2011)
McInnes, B.: J. High Energy Phys. 0208, 029 (2002)
Myrzakul, Sh.R., Yesmakhanova, K.R., Myrzakulov, K.R., Nugmanova, G.N., Myrzakulov, R.: FRW cosmological models with integrable and nonintegrable differential equations of state (2011)
Myrzakulov, R., Sebastiani, L., Zerbini, S.: Int. J. Mod. Phys. D 22, 1330017 (2013a)
Myrzakulov, R., Sebastiani, L., Zerbini, S.: Galaxies 1(2), 83 (2013b)
Nesseris, S., Perivolaropoulos, L.: Phys. Rev. D 70, 123529 (2004)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 72, 023003 (2005)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 639, 144 (2006)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007a). eConf C0602061, 06 (2006)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 649, 440 (2007b)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 686, 44 (2010)
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011)
Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)
Nugmanova, G.N., Myrzakul, Sh.R., Razina, O.V., Esmakhanova, K.R., Serikbayev, N.S., Myrzakulov, R.: Some cosmological aspects of Horava-Lifshitz gravity: integrable and nonintegrable models (2011)
Padmanabhan, T.: AIP Conf. Proc. 861, 179 (2006)
Peiris, H.V., Komatsu, E., Verde, L., Spergel, D.N., Bennett, C.L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S.S., et al.: Astrophys. J. Suppl. Ser. 148, 213–231 (2003)
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R.A., Nugent, P., Castro, P.G., Deustua, S., Fabbro, S., Goobar, A., Groom, D.E., et al.: Astrophys. J. 517, 565–586 (1999)
Riess, A.G., Filippenko, A.V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P.M., Gilliland, R.L., Hogan, C.J., Jha, S., Kirshner, R.P., et al.: Astron. J. 116, 1009–1038 (1998)
Riess, A.G., Strolger, L.-G., Casertano, S., Ferguson, H.C., Mobasher, B., Gold, B., Challis, P.J., Filippenko, A.V., Jha, S., Li, W., Tonry, J., et al.: Astrophys. J. 659, 98–121 (2007)
Sami, M., Toporensky, A.: Mod. Phys. Lett. A 19, 1509 (2004)
Setare, M.R., Momeni, D.: Int. J. Theor. Phys. 50, 106 (2011)
Spergel, D.N., Verde, L., Peiris, H.V., Komatsu, E., Nolta, M.R., Bennett, C.L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al.: Astrophys. J. Suppl. Ser. 148, 175–194 (2003)
Spergel, D.N., Bean, R., Doré, O., Nolta, M.R., Bennett, C.L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al.: Astrophys. J. Suppl. Ser. 170, 377–408 (2007)
Stefancic, H.: Phys. Lett. B 586, 5 (2004)
Wu, P.X., Yu, H.W.: Nucl. Phys. B 727, 355 (2005)
Yesmakhanova, K., Myrzakulov, N., Nugmanova, G., Myrzakulov, Y., Chechin, L., Myrzakulov, R.: Int. J. Mod. Phys. D 20(N12), 2419–2446 (2011)
Youm, D.: Phys. Lett. B 531, 276–280 (2002)
Zhang, X.F., Li, H., Piao, Y.S., Zhang, X.M.: Mod. Phys. Lett. A 21, 231 (2006)
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Myrzakul, S., Myrzakulov, R. & Sebastiani, L. Inhomogeneous viscous fluids in FRW universe and finite-future time singularities. Astrophys Space Sci 350, 845–853 (2014). https://doi.org/10.1007/s10509-014-1799-9
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DOI: https://doi.org/10.1007/s10509-014-1799-9