Abstract
Bulk Viscous anisotropic Bianchi-III cosmological models are investigated with time dependent gravitational and cosmological constants in the framework of Einstein’s general relativity. In order to get some useful information about the time varying nature of G and Λ, we have assumed an exponentially decaying rest energy density of the universe. The extracted Newtonian gravitational constant G varies with time but its time varying nature depends on bulk viscosity and the anisotropic nature of the model. The cosmological constant Λ is found to decrease with time to a small but positive value for the models.
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Dirac, P.A.M.: Proc. R. Soc. (Lond.) A 165, 199 (1938)
Dirac, P.A.M.: Nature 139, 323 (1937)
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Narlikar, J.V.: Found. Phys. 13, 311 (1983)
Gillies, G.T.: Rep. Prog. Phys. 60, 151 (1997)
Helings, R.W., et al.: Phys. Rev. Lett. 51, 1609 (1983)
Sidharth, B.G.: arXiv:gen-ph/0212054v1 (2002)
Sidharth, B.G., Laksmi, B.S.: arXiv:0907.4821v1 [physics.gen-ph] (2009)
Arbab, A.I.: Chin. J. Astron. Astrophys. 3, 113 (2003)
Arbab, A.I.: Class. Quantum. Gravity 20, 93 (1997)
Singh, C.P., Kumar, S., Pradhan, A.: Class. Quantum. Gravity 24, 455 (2007)
Tiwari, R.K.: Astrophys. Space Sci. 321, 147 (2009)
Mukhopadhyay, U., Ghosh, P.P., Ray, S.: arXiv:1001.0475v1 (2010)
Reiss, A.G., et al.: Astrophys. J. 607, 665 (2004)
Perlmutter, S., et al.: Nature J. 391, 51 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003). astro-ph/0207347
Padmanabvan, T.: Phys. Rep. 380, 235 (2003). hep-th/0212290
Carroll, S.: Living Rev. Relativ. 4, 1 (2001). [online article], http//www.livingreviews.org/lrr-2001-1
Bertolami, O.: Nuovo Cimento 93, 36 (1986a)
Bertolami, O.: Fortsch. Phys. 34, 829 (1986b)
Peebles, P.J.E., Ratra, B.: Astrophys. J. 325L, 17 (1988)
Ozer, M., Taha, O.: Nucl. Phys. B 287, 776 (1987)
Berman, M.S., Som, M.M., Gomide, F.M.: Gen. Relativ. Gravit. 21, 287 (1989)
Berman, M.S.: Phys. Rev. D 43, 1075 (1991)
Endo, M., Fukuri, T.: Gen. Relativ. Gravit. 8, 833 (1977)
Canuto, V., Hrich, S.H., Admas, P.J.: Phys. Rev. Lett. 39, 429 (1977)
Borges, H.A., Canerio, S.: Gen. Relativ. Gravit. 37, 1385 (2005)
Boughn, P., Cheng, E.S., Wilkinson, D.T.: Astrophys. J. 243, L113 (1981)
Smoot, G.F., et al.: Astrophys. J. 396, L1 (1992)
Bennet, C.L., et al.: Astrophys. J. 464, L1–L4 (1996). arXiv:astro-ph/9601067
Akarsu, O., Kilinc, C.B.: Gen. Relativ. Gravit. (2009). doi:10.1007/s10714-009-0821-y
Hinshaw, G., et al.: Ser. Astrophys. J. Suppl. Ser. 148, 135 (2003). arXiv:astro-ph/0302217v1
Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. 170, 288 (2007). arXiv:astro-ph/0603451v2
Nolta, M.R., et al.: Astrophys. J. Suppl. Ser. 180, 296 (2009). arXiv:0803.0593 [astro-ph]
Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. 180, 225 (2009). arXiv:0803.0732 [astro-ph]
Eriksen, H.K., et al.: Astrophys. J. Suppl. Ser. 180, 225 (2009). arXiv:0803.0732 [astro-ph]
Barrow, J.D.: Phys. Lett. B 180, 335 (1986)
Zimdahl, W.: Phys. Rev. D 53, 5483 (1996)
Pavon, D., Bafaluy, J., Jou, D.: Class. Quantum. Gravity 8, 347 (1991)
Maartens, R.: Class. Quantum. Gravity 12, 1455 (1995)
Lima, J.A.S., Germano, A.S.M., Abramo, L.R.W.: Phys. Rev. D 53, 4287 (1993)
Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 323, 281 (2009)
Tripathy, S.K., Behera, D., Routray, T.R.: Astrophys. Space Sci. 325, 93 (2010)
Knop, R., et al.: Astrophys. J. 598, 102 (2003)
Tegmark, M., et al.: Astrophys. J. 606, 70 (2004)
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Behera, D., Tripathy, S.K. & Routray, T.R. Bulk Viscous Bianchi-III Models with Time Dependent G and Λ. Int J Theor Phys 49, 2569–2581 (2010). https://doi.org/10.1007/s10773-010-0448-5
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DOI: https://doi.org/10.1007/s10773-010-0448-5