×

Viscous generalized Chaplygin gas with arbitrary \(\alpha\). (English) Zbl 1266.83171

Summary: In this paper we study generalized Chaplygin gas which has viscosity for the case of arbitrary \(\alpha\). We obtained modified time-dependent energy density due to bulk viscosity and generalized Chaplygin gas. We have obtained the energy density in terms of \(\alpha\), and also we plotted it with respect to time by different \(\alpha\).

MSC:

83F05 Relativistic cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
76E20 Stability and instability of geophysical and astrophysical flows
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
[2] Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999) · Zbl 1368.85002
[3] Knop, R.A., et al.: Astrophys. J. 598, 102 (2003)
[4] Riess, A.G., et al.: Astrophys. J. 607, 665 (2004) · Zbl 1369.85001
[5] Bennet, C.L., et al.: Astron. Astrophys. Suppl. Ser. 148, 1 (2003)
[6] Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests. Astrophys. Space Sci. (2012). doi: 10.1007/s10509-012-1181-8 · Zbl 1314.83037
[7] Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
[8] Carroll, S.M.: Living Rev. Relativ. 3, 1 (2001)
[9] Padmanabhan, T.: Phys. Rep. 380, 235 (2003) · Zbl 1027.83544
[10] Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003) · Zbl 1205.83082
[11] Nobbenhuis, S.: Found. Phys. 36, 613 (2006). arXiv:gr-qc/0411093 · Zbl 1100.85517
[12] Peebles, P.J.E., Ratra, B.: Astrophys. J. 325, L17 (1988)
[13] Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
[14] Turner, M.S., White, M.J.: Phys. Rev. D 56, 4439 (1997). astro-ph/9701138
[15] Caldwell, R.R.: Phys. Lett. B 545, 23 (2002). astro-ph/9908168 · Zbl 01806720
[16] Sen, A.: J. High Energy Phys. 0207, 065 (2002). hep-th/0203265
[17] Feng, B., Wang, X.L., Zhang, X.M.: Phys. Lett. B 607, 35 (2005). astro-ph/0404224
[18] Guo, Z.K., Piao, Y.S., Zhang, X.M., Zhang, Y.Z.: Phys. Lett. B 608, 177 (2005). astro-ph/0410654
[19] Wei, H., Cai, R.G.: Phys. Rev. D 72, 123507 (2005)
[20] Wei, H., Tang, N.N., Cai, R.G.: Phys. Rev. D 75, 043009 (2007)
[21] Ibotombi Singh, N., Romaleima Devi, S.: A new class of bulk viscous FRW cosmological models in a scale covariant theory of gravitation. Astrophys. Space Sci. 334, 231–236 (2011) · Zbl 1332.83128
[22] Singh, G.P., Kale, A.Y.: Anisotropic bulk viscous cosmological models with particle creation. Astrophys. Space Sci. 331, 207–219 (2011) · Zbl 1209.83060
[23] Setare, M.R., Sheykhi, A.: Int. J. Mod. Phys. D 19(2), 171 (2010) · Zbl 1187.83089
[24] Chatterjee, S., Bhui, B.: Astrophys. Space Sci. 167, 61 (1990) · Zbl 0698.76129
[25] Banergee, A., Bhui, B., Chatterjee, S.: Astrophys. J. 358, 187 (1990)
[26] Singh, G.P., Deshpande, R.V., Singh, T.: Pramana J. Phys. 63, 937 (2004)
[27] Bali, R., Dave, S.: Astrophys. Space Sci. 282, 461 (2002)
[28] Katore, S.D., Shaikh, A.Y., Kapse, D.V., Bhaskar, S.A.: FRW bulk viscous cosmology in multi dimensional space-time. Int. J. Theor. Phys. 50, 2644–2654 (2011) · Zbl 1235.83101
[29] Saadat, H.: FRW bulk viscous cosmology in non-flat universe. Int. J. Theor. Phys. 51, 1317–1322 (2012) · Zbl 1252.83122
[30] Saadat, H., Pourhassan, B.: FRWbulk viscous cosmology with modified Chaplygin gas in flat space. Astrophys. Space Sci. (2012). doi: 10.1007/s10509-012-1268-2
[31] Saha, B., Amirhashchi, H., Pradhan, A.: Two-fluid scenario for dark energy models in an FRW universe-revisited. Astrophys. Space Sci. (2012). doi: 10.1007/s10509-012-1155-x
[32] Jamil, M., Momeni, D., Serikbayev, N.S., Myrzakulov, R.: FRW and Bianchi type I cosmology of f-essence. Astrophys. Space Sci. 339, 37–43 (2012) · Zbl 1255.83150
[33] Benaoum, H.B.: arXiv:hep-th/0205140 (2002)
[34] Debnath, U., Banerjee, A., Chakraborty, S.: Class. Quantum Gravity 21, 5609 (2004) · Zbl 1065.83063
[35] Xu, Y.D., Huang, Z.G., Zhai, X.H.: A new type of interaction between generalized Chaplygin gas and dark matter. Astrophys. Space Sci. 339, 31–36 (2012) · Zbl 1255.83181
[36] Bandyopadhyay, T.: Thermodynamics of Gauss-Bonnet brane with modified Chaplygin gas. Astrophys. Space Sci. (2012). doi: 10.1007/s10509-012-1115-5 · Zbl 1284.83170
[37] Rudra, P., Debnath, U., Biswas, R.: Dynamics of modified Chaplygin gas in brane world scenario: phase plane analysis. Astrophys. Space Sci. 339, 53–64 (2012) · Zbl 1257.83037
[38] Rudra, P.: Dynamics of interacting generalized cosmic Chaplygin gas in brane-world scenario. Astrophys. Space Sci. (2012). doi: 10.1007/s10509-012-1198-z · Zbl 1286.83112
[39] Mazumder, N., Biswas, R., Chakraborty, S.: FRW cosmological model with modified Chaplygin gas and dynamical system. Int. J. Theor. Phys. (2012). doi: 10.1007/s10773-012-1150-6 · Zbl 1255.83157
[40] Setare, M.R.: Phys. Lett. B 654, 1–6 (2007)
[41] Sadeghi, J., Setare, M.R., Amani, A.R., Noorbakhsh, S.M.: Bouncing universe and reconstructing vector field. arXiv:1001.4682 [hep-th] (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.