Abstract
Anisotropic Bianchi-III cosmological model is investigated with variable gravitational and cosmological constants in the framework of Einstein’s general relativity. The shear scalar is considered to be proportional to the expansion scalar. The dynamics of the anisotropic universe with variable G and Λ are discussed. Without assuming any specific forms for Λ and the metric potentials, we have tried to extract the time variation of G and Λ from the anisotropic model. The extracted G and Λ are in conformity with the present day observations. Basing upon the observational limits, the behavior and range of the effective equation of state parameter are discussed.
This is a preview of subscription content, log in via an institution to check access.
References
Arbab, A.I.: Class. Quantum Gravity 29, 61 (1997)
Arbab, A.I.: Chin. J. Astron. Astrophys. 3, 113 (2003a)
Arbab, A.I.: Class. Quantum Gravity 20, 93 (2003b)
Barrow, J.D.: Phys. Lett. B 180, 335 (1986)
Behera, D., Tripathy, S.K., Routray, T.R.: Int. J. Theor. Phys. 49, 2569 (2010)
Benvenuto, O.G., Garcia-Berro, E., Isern, J.: Phys. Rev. D 69, 082002 (2004)
Berman, M.S.: Phys. Rev. D, Part. Fields 43, 1075 (1991)
Berman, M.S., Som, M.M., Gomide, F.M.: Gen. Relativ. Gravit. 21, 287 (1989)
Bertolami, O.: Nuovo Cimento B 93B, 36 (1986a)
Bertolami, O.: Fortschr. Phys. 34, 829 (1986b)
Borges, H.A., Canerio, S.: Gen. Relativ. Gravit. 37, 1385 (2005)
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Canuto, V., Hrich, S.H., Admas, P.J.: Phys. Rev. Lett. 39, 429 (1977)
Carroll, S.: Living Rev. Relativ. 4, 1 (2001). [online article], http://www.livingreviews.org/lrr-2001-1
Dirac, P.A.M.: Nature 139, 323 (1937)
Dirac, P.A.M.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 165, 199 (1938)
Endo, M., Fukuri, T.: Gen. Relativ. Gravit. 8, 833 (1977)
Helings, R.W., et al.: Phys. Rev. Lett. 51, 1609 (1983)
Kalligas, D., Wesson, P.S., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992)
Kalligas, D., Wesson, P.S., Everitt, C.W.F.: Gen. Relativ. Gravit. 27, 645 (1995)
Knop, R., et al.: Astrophys. J. 598, 102 (2003)
Lima, J.A.S., Germano, A.S.M., Abramo, L.R.W.: Phys. Rev. D 53, 4287 (1993)
Maartens, R.: Class. Quantum Gravity 12, 1455 (1995)
Mukhopadhyay, U., Ghosh, P.P., Ray, S.: arXiv:1001.0475v1 (2010)
Narlikar, J.V.: Found. Phys. 13, 311 (1983)
Ozer, M., Taha, O.: Nucl. Phys. B 287, 776 (1987)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Pavon, D., Bafaluy, J., Jou, D.: Class. Quantum Gravity 8, 347 (1991)
Peebles, P.J.E., Ratra, B.: Astrophys. J. 325L, 17 (1988)
Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003). arXiv:astro-ph/0207347
Perlmutter, S., et al.: Nat. J. 391, 51 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Ram, S., Verma, M.K.: Astrophys. Space Sci. 330, 151 (2010)
Reiss, A.G., et al.: Astrophys. J. 116, 1009 (1998)
Reiss, A.G., et al.: Astrophys. J. 607, 665 (2004)
Singh, C.P.: Nuovo Cimento B 122, 89 (2007)
Singh, C.P.: Astrophys. Space Sci. 323, 197 (2009)
Singh, C.P.: Astrophys. Space Sci. 331, 337 (2011)
Singh, C.P., Kumar, S., Pradhan, A.: Class. Quantum Gravity 24, 455 (2007)
Tegmark, M., et al.: Astrophys. J. 606, 70 (2004)
Tiwari, R.K.: Astrophys. Space Sci. 321, 147 (2009)
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)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Zimdahl, W.: Phys. Rev. D 53, 5483 (1996)
Acknowledgements
The authors are thankful to the anonymous referee for his valuable comments and suggestions for the improvement of this paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tripathy, S.K., Behera, D. & Routray, T.R. Anisotropic cosmological model with variable G and Λ . Astrophys Space Sci 340, 211–215 (2012). https://doi.org/10.1007/s10509-012-1107-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1107-5