Abstract
We explore flat ΛCDM models with bulk viscosity, and study the role of the bulk viscosity in the evolution of these universe models. The dynamical equations for these models are obtained and solved for some cases of bulk viscosity. We obtain differential equations for the Hubble parameter H and the energy density of dark matter ρ m , for which we give analytical solutions for some cases and for the general case we give a numerical solution. Also we calculate the statefinder parameters for these models and display them in the s–r-plane.
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Abazajian, K., et al.: Astron. J. 128, 502 (2004)
Alam, U., Sahni, V., Starobinsky, T.D.: Mon. Not. R. Astron. Soc. 344, 1057 (2003)
Arbab, A.I., Beesham, A.: Gen. Relativ. Gravit. 32, 615 (2000)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Brevik, I.: In: Reimer, A. (ed.) Quantum Cosmology Research Trends. Horizons in World Physics, vol. 246, p. 165. Nova Science, New York (2005). QB991, Q36R36
Brevik, I., Gorbunova, O.: Gen. Relativ. Gravit. 37, 2039 (2005)
Dunkley, J., et al.: Astrophys. J. Suppl. Ser. 180, 306–329 (2009)
Eckart, C.: Phys. Rev. 58, 919 (1940)
Evans, A.K.D., Wehus, I.K., Grøn, Ø., Elgarøy, Ø.: Astron. Astrophys. 430, 399 (2005)
Grøn, Ø.: Astrophys. Space Sci. 173, 191 (1990)
Grøn, Ø.: Eur. J. Phys. 23, 135 (2002)
Grøn, Ø.: Statefinder analysis of universe models with a viscous cosmic fluid and a fluid with a non-linear equation of state. In: The Casimir Effect and Cosmology, pp. 75–86. Tomsk State Pedagogical University Press, Tomsk (2009)
Hu, M.G., Meng, X.H.: Phys. Lett. B 635, 186 (2006)
Israel, W., Stewart, J.M.: Phys. Lett. A 58, 213 (1976)
Kundu, P.K., Cohen, I.M.: Fluid Mechanics, 2nd edn. Academic Press, San Diego (2010)
Lepe, S., Peña, F., Saavedra, J.: Phys. Lett. B 662, 217 (2008)
Maartens, R.: Class. Quantum Gravity 12, 1455 (1995)
Mak, M.K., Harko, T.: Gen. Relativ. Gravit. 30, 1171 (1998)
Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)
Paul, B.C., Mukherjee, S., Beesham, A.: Int. J. Mod. Phys. D 7, 499 (1998)
Pavon, D., Zimdahl, W.: Phys. Lett. A 179, 261 (1993)
Pavon, D., Jou, D., Casa-Vazquez, J.: Ann. Inst. H. Poincare, A Phys. Theor. 36, 79 (1982)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Ren, J., Meng, X.H.: Phys. Lett. B 636, 5–12 (2006)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Sahni, V., Saini, T.D., Starobinsky, A., Alam, U.: JETP Lett. 77, 201–206 (2003)
Singh, G.P., Deshpande, R.V., Singh, T.: Astrophys. Space Sci. 281, 489 (2002)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
White, F.M.: McGraw-Hill Education (ISE Editions), 3rd edn. McGrow-Hill, New York (2005)
Zimdahl, W.: Phys. Rev. D 53, 5483 (1996)
Zimdahl, W., Pavon, D.: Mon. Not. R. Astron. Soc. 266, 872 (1994)
Zimdahl, W., Schwarz, D.J., Balakin, A.B., Pavon, D.: Phys. Rev. D 64, 063501 (2001)
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Mostafapoor, N., Grøn, Ø. Viscous ΛCDM universe models. Astrophys Space Sci 333, 357–368 (2011). https://doi.org/10.1007/s10509-011-0690-1
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DOI: https://doi.org/10.1007/s10509-011-0690-1