Abstract
A spatially homogeneous and anisotropic Bianchi type-III space-time is considered in the presence of bulk viscous fluid containing one dimensional cosmic strings in the frame work of a scalar-tensor theory of gravity proposed by Saez and Ballester (in Phys. Lett. A 113:467, 1986). We have obtained a determinate solution of the field equations of this theory, using (i) a barotropic equation of state for the pressure and density and (ii) the bulk viscous pressure is proportional to the energy density. Some physical properties of the model are also discussed.
Similar content being viewed by others
References
Armendariz-Picon, C., et al.: Phys. Lett. 85, 4438 (2000)
Armendariz-Picon, C., et al.: Phys. Rev. D, Part. Fields 63, 103510 (2001)
Banerjee, N., Beesham, A.: Aust. J. Phys. 49, 899 (1996)
Banerjee, A., Sanyal, A.K., Chakrabarty, S.: Pramana 34, 1 (1990)
Barrow, J.D.: Phys. Lett. B 180, 335 (1986)
Berman, M.S.: Nuovo Cimento B 74, 182 (1983)
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Collins, C.B., et al.: Gen. Relativ. Gravit. 12, 805 (1983)
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D, Part. Fields 84, 024020 (2011)
Johri, V.B., Sudharsan, R.: Aust. J. Phys. 42, 215 (1989)
Katore, S.D., Rane, R.S.: Pramāna 67, 227 (2006)
Kiran, M., Reddy, D.R.K.:. Astrophys. Space Sci. (2013). doi:10.1007/s10509-013-1459-5
Letelier, P.S.: Phys. Rev. D 28, 2414 (1983)
Lima, J.A.S., Germano, A.S.M., Abrama, L.R.W.: Phys. Rev. D 53, 4287 (1993)
Maartens, R., et al.: Class. Quantum Gravity 12, 1455 (1995)
Misner, C.V.: Astrophys. J. 151, 431 (1969)
Mohanthy, G., Pradhan, B.D.: Int. J. Theor. Phys. 31, 151 (1992)
Mohanty, G., Pattanaik S.K.: Theor. Appl. Mech. 26, 59 (2001)
Naidu, R.L., Satyanarayana, B., Reddy, D.R.K.: Int. J. Theor. Phys. 51, 1997 (2012)
Pavon, D., Bafluy, J., Jou, D.: Class. Quantum Gravity 8, 347 (1991)
Pimental, L.O.: Int. J. Theor. Phys. 33, 335 (1994)
Rao, V.U.M., et al.: Astrophys. Space Sci. 312, 189 (2007)
Rao, V.U.M., Kumari, S.G., Sirisha, K.V.S.: Astrophys. Space Sci. 335, 635 (2012)
Reddy, D.R.K.: Astrophys. Space Sci. 286, 356 (2003a)
Reddy, D.R.K.: Astrophys. Space Sci. 286, 359 (2003b)
Reddy, D.R.K., et al.: Astrophys. Space Sci. 277, 461 (2001)
Reddy, D.R.K., et al.: Astrophys. Space Sci. 306, 171 (2006)
Reddy, D.R.K., et al.: Int. J. Theor. Phys. 52, 239 (2013)
Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986)
Sahoo, P.K.: Int. J. Theor. Phys. 47, 3029 (2008)
Setare, M.R., Sheyki, A.: Int. J. Mod. Phys. D 19, 171 (2010)
Shri Ram, Singh, J.K.: Astrophys. Space Sci. 234, 325 (1995)
Shri Ram, et al.: Astrophys. Space Sci. 259, 91 (1998)
Singh, T., Agrawal, A.K.: Astrophys. Space Sci. 182, 289 (1991)
Singh, N.I., Devi, S.R.: Astrophys. Space Sci. 334, 231 (2011)
Singh, G.P., Kale, A.Y.: Astrophys. Space Sci. 331, 207 (2011)
Singh, C.P., Shri Ram: Astrophys. Space Sci. 284, 1199 (2003)
Singh, J.P., Ghosh, S.G., Beesham, A.: Aust. J. Phys. 50, 1 (1997)
Stachel, J.: Phys. Rev. D 21, 2171 (1980)
Suresh, K.: Int. J. Theor. Phys. 47, 1722 (2008)
Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 321, 247 (2009)
Vilenkin, A., Hawking, S.W, Israel, W. (eds.): Three Hundred Years of Gravitation, p. 499. Cambridge University Press, Cambridge (1987)
Acknowledgements
The authors are grateful to the reviewer for his constructive comments which have considerably improved the presentation of the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Vidyasagar, T., Purnachandra Rao, C., Bhuvana Vijaya, R. et al. Bianchi type-III bulk viscous cosmic string model in a scalar-tensor theory of gravitation. Astrophys Space Sci 349, 467–471 (2014). https://doi.org/10.1007/s10509-013-1616-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1616-x