Abstract
Bianchi Type III bulk viscous dust filled cosmological models in Lyra geometry are investigated. To get the deterministic model of the universe, we have assumed two conditions: (i) ζθ=constant; and (ii) shear (σ) is proportional to the expansion (θ). This condition leads to B=C n where ζ the coefficient of bulk viscosity, θ the expansion in the model; B and C are metric potentials and n a constant. The physical and geometrical aspects of the model and singularities in the model are also discussed.
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References
Bali, R., Chandnani, N.K.: J. Math. Phys. 49, 032502 (2008)
Bali, R., Jain, D.R.: Astrophys. Space Sci. 139, 175 (1987)
Bali, R., Jain, D.R.: Astrophys. Space Sci. 141, 207 (1988)
Bali, R., Pradhan, A.: Chin. Phys. Lett. 24, 585 (2007)
Beesham, A.: Astrophys. Space Sci. 127, 355 (1986)
Beesham, A.: Aust. J. Phys. 41, 833 (1988)
Chakraborty, S., Ghosh, A.: Int. J. Mod. Phys. D 9, 543 (2000)
Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980)
Ellis, G.F.R.: In: Sachs, R.K. (ed.) General Relativity and Cosmology. Academic Press, New York (1971)
Halford, W.D.: Aust. J. Phys. 23, 863 (1970)
Halford, W.D.: J. Math. Phys. 13, 1699 (1972)
Heller, M., Klimek, Z.: Astrophys. Space Sci. 33, L37 (1975)
Hoyle, F.: Mon. Not. R. Astron. Soc. 108, 372 (1948)
Hoyle, F., Narlikar, J.V.: Proc. R. Soc. Lond. A 273, 1 (1963)
Johri, V.B., Sudharshan, R.: Phys. Lett. A 132, 316 (1988)
Kantowski, R., Sachs, R.K.: J. Math. Phys. 7, 443 (1966)
Kristian, J., Sachs, R.K.: Astrophys. J. 143, 379 (1966)
Lyra, G.: Math. Z. 54, 52 (1951)
Maartens, R.: Class. Quantum Gravity 12, 1455 (1995)
MacCallum, M.A.H.: Commun. Math. Phys. 20, 57 (1971)
Misner, C.W.: Nature 214, 40 (1967)
Misner, C.W.: Astrophys. J. 151, 431 (1968)
Mohanty, G., Mahanta, K.L., Sahoo, R.R.: Astrophys. Space Sci. 306, 269 (2006)
Padmanabhan, T., Chitre, S.M.: Phys. Lett. A 120, 433 (1987)
Patridge, R.B., Wilkinson, D.T.: Phys. Rev. Lett. 18, 557 (1967)
Pradhan, A., Singh, S.K.: Int. J. Mod. Phys. D 13, 503 (2004)
Pradhan, A., Vishwakarma, A.K.: J. Geom. Phys. 49, 32 (2004)
Pradhan, A., Yadav, V.K., Chakraborty, I.: Int. J. Mod. Phys. D 10, 339 (2001)
Rahaman, F., Bera, J.: Int. J. Mod. Phys. D 10, 729 (2001)
Rahaman, F., Chakraborty, S., Bera, J.: Astrophys. Space Sci. 281, 595 (2002)
Raychaudhary, A.K.: Theoretical Cosmology. Oxford University Press, London (1979)
Reddy, D.R.K., Venkateshwarlu, R.: Astrophys. Space Sci. 136, 191 (1987)
Roy, S.R., Prakash, S.: Ind. J. Pure Appl. Math. 8, 723 (1977)
Sen, D.K.: Phys. Z. 149, 311 (1957)
Singh, G.P., Desikan, K.: Pramana J. Phys. 49, 205 (1997)
Singh, T., Singh, G.P.: J. Math. Phys. 32, 2456 (1991)
Soleng, H.H.: Gen. Relativ. Gravit. 19, 1213 (1987)
Thorne, K.S.: Astrophys. J. 148, 51 (1967)
Weyl, H.: Sber. Preuss. Akad. d. Wissenschaften (1918)
Zimdahl, W.: Phys. Rev. D 53, 5483 (1996)
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Bali, R., Chandnani, N.K. Bianchi type-III bulk viscous dust filled universe in Lyra geometry. Astrophys Space Sci 318, 225–230 (2008). https://doi.org/10.1007/s10509-008-9907-3
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DOI: https://doi.org/10.1007/s10509-008-9907-3