Abstract
A flat emergent universe (EU) with a non-linear equation of state (\(p=A \rho +f(\rho )\)) is studied considering bulk viscosity. In the paper we obtain cosmological models with viscous fluid described by truncated Israel–Stewart theory. Using autonomous system of field equations the stability of the solutions are analyzed. The observational constraints on the model parameters are determined for different matter energy compositions of the universe with non-linear viscosity in the EU scenario.
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Acquaviva, G., Beesham, A.: Phys. Rev. D 90(2), 023503 (2014)
Acquaviva, G., Beesham, A.: Class. Quantum Gravity 32(21), 215026 (2015)
Acquaviva, G., John, A., Pénin, A.: Phys. Rev. D 94(4), 043517 (2016)
Albrecht, A., Steinhardt, P.J.: Phys. Rev. Lett. 48, 1220 (1982)
Alesci, E., Botta, G., Cianfrani, F., Liberati, S.: Phys. Rev. D 96, 046008 (2017)
Astashenok, A.V., Nojiri, S., Odinstov, S.D., Scherrer, R.J.: Phys. Lett. B (2012). https://doi.org/10.1016/j.physletb.2012.06.017
Bamba, K., Capozziello, S., Nojiri, S., Odinstov, S.D.: Astrophys. Space Sci. 342, 155–228 (2012)
Banerjee, A., Bandyopadhyay, T., Chakraborty, S.: Gen. Relativ. Gravit. 40, 1603 (2008)
Beesham, A., Chervon, S.V., Maharaj, S.D.: Class. Quantum Gravity 26, 075017 (2009)
Brevik, I., Grøn, ø, de Haro, J., Odintsov, S.D., Saridakis, E.N.: Int. J. Mod. Phys. D 26, 1730024 (2017)
Chakraborty, S., Bhattacharya, S.: (2017). ar**v:1711.08868v3
Chervon, S.V., Maharaj, S.D., Beesham, A., Kubasov, A.: Quant. Matter 2, 388 (2014)
Cruz, N., González, E., Palma, G.: (2018). ar**v:1812.05009
Colistete Jr., R., Fabris, J.C., Tossa, J., Zimdahl, W.: Phys. Rev. D 76, 103516 (2007)
Debnath, P.S., Paul, B.C.: Mod. Phys. Lett. A 32(39), 1750216 (2017)
Debnath, U.: Class. Quantum Gravity 25, 205019 (2008)
Ellis, G.F.R., Maartens, R.: Class. Quantum Gravity 21, 223 (2004)
Ellis, G.F.R., Murugan, J., Tsagas, C.G.: Class. Quantum Gravity 21, 233 (2008)
Gangopadhyay, S., Saha, A., Mukherjee, S.: Int. J. Theor. Phys. 55, 4445 (2016)
Ghosh, S., Gangopadhyay, S.: Mod. Phys. Lett. A 32, 1750089 (2017)
Guth, A.H.: Phys. Rev. D 23, 347 (1981)
Israel, W., Stewart, J.M.: Ann. Phys. 118, 341 (1970)
Jordan, D.W., Smith, P.: Nonlinear Ordinary Differential Equations. Oxford Univeristy Press, Oxford (2007)
Khodadi, M., Heydarzade, Y., Darabi, F., Saridakis, E.N.: Phys. Rev. D 93, 124019 (2016)
Laciana, C.E.: Gen. Relativ. Gravit. 49, 5 (2017)
Leyva, Y.: Int. J. Mod. Phys. D 27(16), 1950001 (2018)
Lepe, S., Otalora, G., Saavedra, J.: Phys. Rev. D. 96(2), 023536 (2017)
Lima, J.A.S., Germano, A.S.M., Abramo, L.R.W.: Phys. Rev. D 53, 8
Linde, A.D.: Phys. Lett. B 108, 389 (1982)
Linde, A.D.: Phys. Lett. B 129, 177 (1983)
Misner, C.W.: Astrophys. J. 151, 431 (1968)
Mukherjee, S., Paul, B.C., Maharaj, S.D., Beesham, A.: (2005). ar**v:gr-qc/0505103
Mukherjee, S., Paul, B.C., Dadhich, N.K., Maharaj, S.D., Beesham, A.: Class. Quantum Gravity 23, 6927 (2006)
Nojiri, S., Odinstov, S.D.: Phys. Lett. B (2010). https://doi.org/10.1016/j.physletb.2010.02.017
Paul, B.C., Ghose, S.: Gen. Relativ. Gravit. 42, 795 (2010)
Paul, B.C., Majumdar, A.S.: Class. Quantum Gravity 32, 115001 (2015)
Paul, B.C., Majumdar, A.S.: Class. Quantum Gravity 35, 065001 (2018)
Paul, B.C., Thakur, P., Ghose, S.: MNRAS 407(4), 15 (2010)
Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)
Sato, K.: Mon. Not. R. Astron. Soc. 195, 467 (1981)
Stern, D., et al.: JCAP 1002, 008 (2010)
Strogatz, S.H.: Nonlinear Dynamics and Chaos. Westview Press, Boulder (2001)
Acknowledgements
AC acknowledge the University of North Bengal for awarding Junior Research Fellowship. The authors would like to thank IUCAA Resource Center, NBU for providing research facilities. The authors acknowledge the constructive suggestions by the anonymous referee for the paper in its present form. BCP would like to thank SERB-DST for Project No. EMR/2016/005734.
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Paul, B.C., Chanda, A. Observational constraints on emergent universe model with non-linear viscous fluid. Gen Relativ Gravit 51, 71 (2019). https://doi.org/10.1007/s10714-019-2551-0
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DOI: https://doi.org/10.1007/s10714-019-2551-0