Abstract
We consider a cosmological model based on a generalization of the equation of state proposed by Nojiri and Odintsov (2004) and Štefančić (2005, 2006). We argue that this model works as a dark fluid model which can interpolate between dust equation of state and the dark energy equation of state. We show how the asymptotic behavior of the equation of state constrained the parameters of the model. The causality condition for the model is also studied to constrain the parameters and the fixed points are tested to determine different solution classes. Observations of Hubble diagram of SNe Ia supernovae are used to further constrain the model. We present an exact solution of the model and calculate the luminosity distance and the energy density evolution. We also calculate the deceleration parameter to test the state of the universe expansion.
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Alam, S., et al.: Mon. Not. R. Astron. Soc. 000, 1 (2016). arXiv:1607.03155 [astro-ph.CO]
Alcaniz, J.S.: Braz. J. Phys. 36, 1109 (2006)
Allen, B., Folacci, A.: Phys. Rev. D 35, 3771 (1987)
Allen, S.W., et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Almeida, C.R., Fabris, J.C., Sbisá, F., Tavakoli, Y.: arXiv:1604.00624 (2016)
Astashenok, A.V., Nojiri, S., Odintson, S.D., Yurov, A.V.: Phys. Lett. B 713, 145 (2012a)
Astashenok, A.V., Nojiri, S., Odintson, S.D., Yurov, A.V.: Phys. Lett. B 709, 396 (2012b)
Awad, A.: Phys. Rev. D 87(10), 103001 (2013)
Babichev, E., Mukhanov, V., Vikman, A.: J. High Energy Phys. 0802, 101 (2008)
Baffou, E.H., Salako, I.G., Houndjo, M.J.S.: arXiv:1606.05265 (2016)
Bamba, K., Odintsov, S.D.: Symmetry 7, 220 (2015)
Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: Astrophys. Space Sci. 342, 155 (2012)
Benaoum, H.B.: arXiv:hep-th/0205140v1 (2002)
Bennett, C.L., et al.: Astrophys. J. Suppl. 148, 1 (2003)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Bilić, N., Tupper, G.B., Viollier, R.D.: J. Cosmol. Astropart. Phys. 0510, 003 (2005)
Caldwell, R.R., Linder, E.V.: Phys. Rev. Lett. 95, 141301 (2005)
Carroll, S.M.: Living Rev. Relativ. 4, 1 (2001)
Carroll, S.M., Press, W.H., Turner, E.L.: Annu. Rev. Astron. Astrophys. 30, 499 (1992)
Conley, A., et al.: Astrophys. J. Suppl. Ser. 192, 1 (2011)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)
Cordero, R., Gonzalez, E.L., Queijeiro, A.: arXiv:1608.06540 (2016)
De Bernardies, P., et al.: Nature 404, 955 (2000)
Dinda, B.R., Kumar, S., Sen, A.A.: Phys. Rev. D 90, 083515 (2014)
Eisenstein, D.J., et al.: Astrophys. J. 148, 175 (2003)
Ellis, J.R.: Philos. Trans. R. Soc. Lond. 361, 2607 (2003)
Ellis, G.F.R., Maartens, R., MacCallum, M.A.H.: Gen. Relativ. Gravit. 39, 1651 (2007)
Gazeau, J.P., Renaud, J., Takook, M.V.: Class. Quantum Gravity 17(6), 1415 (2000)
Guendelman, E., Nissimov, E., Pacheva, S.: Eur. Phys. J. C 76, 90 (2016)
Jaffe, A.H.: Lecture Notes, 99 (2012). http://astro.imperial.ac.uk/sites/default/files/cosmology.pdf
Kamenshchik, A.Y., Moschellai, U., Pasquier, V.M.: Phys. Lett. B 511(2–4), 265 (2001)
Knop, R.A., et al. (Supernova cosmology Project Collaboration): Astrophys. J. 598, 102 (2003)
Linder, E.V., Scherrer, R.J.: Phys. Rev. D 80, 023008 (2009)
Low, L.F.: Mod. Phys. Lett. A 31(36), 1675002 (2016)
Ludwick, K.J.: Phys. Rev. D 92, 063019 (2015)
Martínez, C., Troncoso, R., Zanelli, J.: Phys. Rev. D 70, 084035 (2004)
Matsumoto, J., Nojiri, S.: Phys. Lett. B 687, 236 (2010)
Modak, B., Sarkar, K., Sanyal, A.K.: Astrophys. Space Sci. 353(2), 707 (2014)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 103522 (2004)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 686, 44 (2010)
Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Peacock, T.: Encyclopedia of Astronomy and Astrophysics (2002). doi:10.1888/0333750888/1632
Peebles, P.J.E., Ratra, B.: Astrophys. J. 325, L17–L20 (1988)
Perlmutter, S.J., et al.: Nature 391, 51 (1998)
Plank Collaboration: Astron. Astrophys. 594, A1 (2016). doi:10.1051/0004-6361/201527101
Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998)
Riess, A.G., et al. (Supernova Search Team Collaboration): Astrophys. J. 607, 665 (2004)
Riess, A.G., et al.: Astrophys. J. 659, 98 (2007)
Rivera, A.B., Farieta, J.G.: arXiv:1605.01984 [astro-ph.CO] (2016)
Sahni, V., Starobinsky, A.A.: Int. J. Mod. Phys. D 9, 373 (2000)
Sarkar, A., Das, S., Sethi, S.K.: J. Cosmol. Astropart. Phys. 1503(0), 004 (2015)
Sharov, G.S.: J. Cosmol. Astropart. Phys. 06, 023 (2016)
Spergel, D.N., et al.: Astrophys. J. Suppl. 148, 175 (2003)
Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 170, 377 (2007)
Štefančić, H.: Phys. Rev. D 71, 084024 (2005)
Štefančić, H.: arXiv:astro-ph/0609780 (2006)
Stomper, R., et al.: Astrophys. J. 561, L7 (2001)
Tegmark, M., et al. (SDSS Collaboration): Phys. Rev. 69, 103501 (2004a)
Tegmark, M., et al. (SDSS Collaboration): Astrophys. J. 606, 702 (2004b)
Tonry, S.L., et al.: Astrophys. J. 594, 1 (2003)
Wehus, I.K., Ravndal, F.: J. Phys. Conf. Ser. 66, 012024 (2007)
Wienberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Xu, Y.-Y., Zhang, X.: arXiv:1607.06262 [astro-ph.CO] (2016)
Acknowledgements
The author would like to thank Dr. Adel Awad for valuable discussions and guidance.
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Elkhateeb, E. A viable dark fluid model. Astrophys Space Sci 363, 7 (2018). https://doi.org/10.1007/s10509-017-3221-x
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DOI: https://doi.org/10.1007/s10509-017-3221-x